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1 Title Page
Vibration Diagnostic of
Rotor Mechanisms in Ships
G.G. Jayarathne
This Thesis was submitted to the Department of Mechanical Engineering of the University of Moratuwa en- the- in partial fulfillment of the requirements for the Degree of Master of Philosophy.
074441
University of Moratuwa
Department of Mechanical Engineering, University of Moratuwa, / L4-. u / - . / . Sri Lanka. November, 2001.
T H
7 4 4 4 1
Declaration
Here with, I certify that the work included in the Thesis in part or whole, has not been submitted for any other academic qualification at any institution.
(Candidate) (Supervisor)
ABSTRACT
In ships, there are so many sources of noise and Vibration such as propulsion engines and electric generators in restricted spaces and structures of ships, which are made of steel, transmit vibration well. By the reasons, noise and vibration of ships are very big by nature and reduction of noise and vibration is important subject for ships. Regarding noise reduction, reduction of noise cause by vibration has difficulty and the major part of such noise is structure born noise.
"Vibration" is not a problem. It is a physical manifestation of machinery imperfection. It is used to help find obvious and subtle deviations in machines. No machine runs perfect. "Diagnosis" is the Method of Detection. If, a fault develops and goes undetected, then, at best, the problem will not be too serious and can be remedied quickly and cheaply; at
T worst, it may result in expensive damage and down-time, injury, or even loss of life. There is no reason or excuse to have machinery operate unprotected. The areas of interest in vibration measuring in plant maintenance are general measurement, analysis, and corrective.
All rotor mechanisms in ships consist of shafts, bearings, couplings, gears etc. These machinery operate under various load conditions from light to heavy. Ship propulsion system comparatively works under very heavy load conditions with rolling and pitching of the ship which may tend to cause overstressing of shafts.
Objective of the Research: The aim of the project is to identify the vibration analysis of a ship transmission system. A ship transmission system is the link between the crank shaft (or thrust block) end and the propeller of the vessel. As it contains number of shafts, couplings and bearings it tends to cause severe vibrations due to various running and incipient defects. These defects can be diagnosed by measuring the level of vibration to the extent they excited.
Methodology Adopted: A Test Rig:
The test rig is a model of the transmission system of the ship "M/V Lanka Mahapola" made in to a scale of 1:10. Level and condition of lubrication maintained. Accelerometers are mounted over the bearing casings to trace the excitement of individual bearings.
Diagnosis of the misaligned and unbalanced shafts and defected sleeve (fluid film) bearings are done by using the "AUTOVIB" software package which is a vibration
* monitoring method introduce by this project.
Final Outcome of this research : Although spectrum analysis method is not in use, similar demodulation techniques, will be practical, for the diagnostics of Sleeve (Fluid Film) bearings.
Measurement of the vibrations excited by bearing friction forces present all the necessary information for Diagnostics of bearing condition including installation problems and the quality of lubrication.
iii
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
ACKNOWLEDGEMENT
I'd like to give special thanks to Dr. T.A. Piyasiri , Director/ITUM, who encouraged me for a M.Phil. Big tip of the hat to Dr. Piyasiri, for his help and valuable suggestions given.
A special thanks goes to Prof. P.A.de Silva, Ex. Head/Mechanical Engineering, for his grateful effort and valuable advices to make this success.
This project wouldn't have been possible without the concerted effort (on importing Vibration measuring equipment) of Former Dean/ Engineering Prof. L.L.Rathnayake.
I owe a debt of a gratitude to Head/ Mechanical Engineering, Dr. S.R. Tittagala who has provided feedback on early attempts, which has been incorporated to this successful one.
Thanks to all the current and former Supervisors of the project. In particular following individuals gave me their valuable advices and ideas in addition to proper guiding.
An extra special thanks goes to Dr. P.A.B.A. Ranjan Perera, a Supervisor of the Project, who after reading these chapters for several times an unerring eye for detail and manuscript editing support, must now know more than any other else.
Very special thanks go out to Dr. W.K.Wimalsiri, a Supervisor of the Project. His support continues to be invaluable. I appreciate the dedicated support of Dr. Wimalsiri, who provided ideas and advices through out the project.
Of course, Chairman/ Progress Review Committee Dr. Thusitha Sugathapala deserves special thanks for always keeping everything running smoothly and inspiring me when I didn't feel very inspired.
Thanks go to Mr. S.Ganesupiragash deciphering program properties and events in programming languages, providing useful suggestions.
I am specially appreciative the efforts of the Mr. Darshana Liyanage imparted to the hardware application.
Of course without the support of the staff in Maritime Division Mr. M.D.D. Gunathilake and Mr. Sunil Wickramasinghe, the Test Bed made for the project would be nothing more than a dream.
iv
Vibration Diagnostic of Rotor Mechanism in Ships By G.GJayarathne
C O N T E N T S
C O N T E N T S
LIST OF F IGURES A N D TABLES
P A G E
XIV - XX
LIST OF ABBREVIATIONS XXI - XXVIII
PREFACE XXIX - XXXVIII
CHAPTER I
I
LITERATURE SURVEYS CONDITION MONITORING AND FAULT DIAGNOSIS
INTRODUCTION . . . . .
PREVIOUS L ITERATURE REVIEWS AND SURVEYS
2 . I MASS UNBALANCE
2 . 2 BENT SHAFTS
2 . 3 CRACKED SHAFTS
2 . U CAN ONE AFFORD PLANT DOWNTIME ? .
2 . 5 WHAT IS 'CONDITION MONITORING'? .
2 . 6 WHERE CAN I T BE APPLIED
L ITERATURE SURVEY . . . .
3 . I APPLICATION OF SHOCK PULSE METHOD . (SPM) FOR ROLLING BEARING AND I T S DRAWBACKS AS A MONITORING METHOD
3 . 2 DIFFERENCE BETWEEN SHOCK PULSE AND IBRATION
PROCESSING SHOCK PULSE SIGNALS .
SHOCK PULSE PATTERNS
MEASURING OPERATION CONDITION
3
U
5
I - 13
2
3
6
8
9
9
10
10
10
10
II
12
13
CHAPTER II CODE ON NOISE LEVELS ON BOARD SHIPS \U - 18
II . I SCOPE . . . . . 15
II . 2 PURPOSE . . . . . . 15
II . 3 NOISE LEVEL L IMITS . . . . 15
V.
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
CONTENTS
C h a p t e r III ROTOR MECHANISMS IN SHIPS; . 1 9 - 2 0 CLASSIFICATION; ELEMENTS; SOURCES OF VIBRATION
III . I CLASSIFICATION OF SHIPS ROTOR ZO MECHANISMS
III . 2 ELEMENTS OF ROTOR MECHANISMS IN SHIPS 20
C h a p t e r IV MODES OF VIBRATION 2 1 - 2 5
IV . I TORSIONAL VIBRATION . . . . 22
IV . I . I HOLZER ANALYSIS OF TORSIONAL SYSTEM 23
IV . I . 2 DRIVE TRAIN ANALYSIS 23
IV . I . 3 VIBRATION AMPLITUDES ZU
IV . 2 RANDOM VIBRATION 2U
IV . 2 . I WHY DO WE CARE ABOUT RANDOM 25 VIBRATION?
IV . 2 . 2 WHAT IS FREQUENCY RESPONSE 25 ANALYSIS ?
CHAPTER V MAIN CAUSE OF SHIP VIBRATION 2 6 - 3 1
V . I INTRODUCTION . . . . . 27
V . I . I THE ACTION OF THE SEA 27
V . I . 2 VIBRATION IN SHIPS . . . 27
V . I . 3 OUT OF BALANCE FORCES IN 31 RECIPROCATING MACHINARY
CHAPTER VI VIBRATION ANALYSIS 3 2 - 3 5
VI . I INTRODUCTION . . . . . 33
VI . 2 ANALYSIS FREQUENCY IU
VI . 3 ADVANTAGES / LIMITATIONS . . . 35
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
CONTENTS
CHAPTER VII FOURIER ANALYSIS
VII . I CLASSIFICATION OF DATA
VII . I . I DIFFERENCES BETWEEN DETERMINISTIC AND RANDOM DATA
VII . I . 2 STATIONARY AND ERGODIC RANDOM . DATA
VII . I . 3 NON-STATIONARY DATA
VII . I . U NATURE OF TRANSIENT DATA
VII . I . 5 FREQUENCY SPACING AND LENGTH CONSIDERATIONS
VII . I . 6 PADDING WITH ZEROS .
VII . I . 7 EFFECT OF RECORD LENGTH .
VII . I . 8 COMPUTATIONAL VERSUS RESOLUTION BANDWIDTH
VII . I . 9 RESOLUTION L IMITS
VII . I . 10 NONZERO MEAN VALUES
VII . I . II TIME WEIGHTING FUNCTIONS AND SPECTRAL LEAKAGE
VII . I . 12 ANALYZING SHORT DURATION TRANSIENTS
VII . I . 13 E F F E C T S OF ZERO PADDING
VII . I . \U E F F E C T S OF RECORD LENGTH .
VII . I . 15 E F F E C T S OF TIME WEIGHTING FUNCTIONS . (WINDOWING)
VII . I . 16 HANDLING NON-ZERO MEAN VALUES .
VII . I . 17 PRACTICAL EXAMPLES USING DETERMINISTIC AND RANDOM TRANSIENT WAVE FORM
VII . I . 18 CONTINUOUS SINE WAVE
VII
VII
THE COMPLEX FOURIER TRANSFORMS
. 2 . 1 THE COMPLEX FOURIER TRANSFORMS (IN DETAIL)
VII . 2 . 2 TIME AND FREQUENCY REPRESENTATION
VII . 2 . 3 TIME AND FREQUENCY DOMAINS
36 - 75
37
37
38
38
38
U\
U2
U2
UU
UU
U5
U5
Ub
Ub
Ub
Ul
Ul
50
bU
5U
55
55
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
CONTENTS
VII . 3 DISCRETE FOURIER TRANSFORM AND THE F F T 59
* VII . 3 . I INTRODUCTION . . . 59
VII . 3 . 2 THE DISCRETE FOURIER TRANSFORMS. 59
VII . 3 . 3 FAST FOURIER TRANSFORMS . 61
VII . 3 . U F I L T E R S . . . . 62
VII. 3 . U . I FILTERING . . . 62
VII . 3 . U . 2 ANTI-ALIASING F I L T E R S 62
VII . 3 . 5 FOURIER TRANSFORM PROPERTIES 65
VII . 3 . 5 . I SCALING PROPERTY 65
* VII . 3 . 5 . 2 SHIFTING PROPERTY . 66
VII . 3 . 6 APPROXIMATION OF CONTINUOUS 66
TRANSFORMS WITH THE DFT
VII . U SAMPLING THEOREM . . . . 67
VII . 5 REAL TIME ANALYSIS . . . . 69
VII . 6 C-PROGRAM FOR FAST FOURIER TRANSFORMATION 70
CHAPTER VIII TYPES OF BEARINGS 7 6 - 7 9
VIII . I ROLLING BEARINGS . . . . 77
VIII . 1 . 1 DEEP GROVE BALL BEARINGS . 78
VIII . 1 . 2 SELF-ALIGNING BALL BEARINGS 78
VIII . 1 . 3 ANGULAR CONTACT BALL BEARINGS . 78
VIII . I . U NEEDLE ROLLER BEARINGS 78
VIII . 1 . 5 SPHERICAL ROLLER BEARINGS 78
VIII . 1 . 6 TAPER ROLLER BEARINGS 78
VIII . 1 . 7 THRUST BALL BEARINGS 79
* VIII . I . 8 CYLINDRICAL ROLLER T H R U S T BEARINGS 79
VIII . 1 . 9 NEEDLE ROLLER T H R U S T BEARINGS . 79
VIII . 2 HYDRO-DYNAMIC BEARINGS . . . 79
VIII . 3 SLEEVE BEARINGS . . . . 79
ix
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
CONTENTS
CHAPTER IX LIFE OF BEARINGS 8 0 - 8 7
IX . I INTRODUCTION . . . . . 81
IX . 2 IRREGULARITIES OF BALL BEARINGS 82
IX . 3 BEARING WEAR AND I T S CAUSES . . . 83
IX . 3 . I WEAR CAUSED BY ABRASIVE PARTICLES 83
IX . 3 . 2 WEAR CAUSED BY INADEQUATE 83 LUBRICATION
IX . 3 . 3 WEAR CAUSED BY VIBRATION . 8*.
IX . 3 . U SURFACE D I S T R E S S AND I T S CAUSES . 85
IX . 3 . 5 IONS AND T H E I R CAUSES 85
IX . 3 . 6 INDENTATIONS CAUSED BY FAULTY . 85 MOUNTING OR OVERLOADING
IX . 3 . 7 DAMAGE CAUSED BY THE PASSAGE OF . 85 ELECTRIC CURRENT
IX . U BEARING CRACKS . . . . 86
IX . U . I CRACKS CAUSED BY ROUGH TREATMENT 86
IX . U . 2 CRACKS CAUSED BY SMEARING 86
IX . U . 3 CRACKS CAUSED BY FRETTING CORROSION 86
IX . 5 BEARING CORROSSION . . . . 87
IX . 5 . I CORROSION . . . . 87
IX . 5 . 2 FRETTING CORROSION 87
CHAPTER X VIBRATION MONITORING . 8 8 - 9 1
X . I INTRODUCTION . . . . . 89
X . 2 CORRECTIVE MEASURES . . . . 89
CHAPTER XI CONDITION MONITORING AND 92 - 100 FAULT DIAGNOSTICS
XI . I MACHINE MONITORING SYSTEMS . . . 93
- MAINTANANCE PROCEDURE
XI . I . I PREDICTIVE MAINTANANCE 93
XI . I . 2 CONDITION MONITORING 9^.
XI , 2 FORMS OF TECHNICAL MAINTANANCE 98
XI . 2 . I METHODS FOR CONTROLLING THE 98 CONDITION OF MACHINES AND MECHANISMS
x
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
CONTENTS
CHAPTER XII VIBRATION MEASURING EQUIPMENT 101 - IU,
* ' XII . I INTRODUCTION . . . . . 102
XII . 2 ACCELEROMETERS \QU
XII . 2 . I THE PIEZOELECRIC EFFECT, THEORY, I0Z. DESIGN AND USAGE
XII . 3 CHARGE AMPLIFIERS . . . . 109
XII . 3 . I TIME CONSTANT AND DRIFT 110
XII . 3 . 2 FREQUENCY AND TIME DOMAIN 110 CONSIDERATION
XII . U LOW IMPEDANCE PIEZOELECTRIC . . . I l l TRANSDUCERS
XII . U . I TIME CONSTANT . . . 112
XII . 5 LOW IMPEDANCE POWER SUPPLY (COUPLER) 113
XII . 5 . I TIME CONSTANT . . . 113
XII . 5 . 2 SELECTION METRIX . . . 113
XII . 5 . 3 DUAL MODE CHARGE AMPLIFIERS 113
XII . 6 HIGH AND LOW IMPEDANCE SYSTEM \\U COMPARISON
XII . 6 . I SIMILARITIES \\U
XII . 6 . 2 HIGH IMPEDANCE SYSTEMS HIGH \\U
XII . 6 . 3 LOW IMPEDANCE SYSTEMS \\U
XII . 7 EXTERNAL IMPEDANCE CONVERTERS \\U
CHAPTER XIII VIBRATION MEASURING EQUIPMENT USED 115 - 119
XIII . I PIEZOELECTRIC ACCELEROMETER, DESIGN a U S E . 116
XIII . 1 . 1 MEASURING ACCELERATION 116
* XIII . 1 . 2 ACCELEROMETER MOUNTING . 118
XIII . 1 . 2 . 1 STUD MOUNTING 118
XIII . 1 . 2 . 2 ADHESIVE MOUNTING . 118
XIII . 1 . 2 . 3 TRIAXIAL MOUNTING 119
XIII . \ . Z . U STRAIN RELIEVING CABLE 119
XIII . 1 . 3 CALIBRATION TECHNIQUES 119
XIII . 1 . 3 . 1 ACCELEROMETERS 119
xi
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
CONTENTS
CHAPTER XIV VIBRATION MONITORING SYSTEM 120 - \ZU
XIV . I INTRODUCTION . . . . . 121
XIV . 2 WHY SEELVE BEARINGS ARE SELECTED ? 123
XIV . 2 . I COMMENT . . . . 123
XIV . 2 . 2 OBSERVATIONS: . . . \ZU
CHAPTER XV DATA ACQUISITION CARD : ACL - 8I2PG 125 - 130
XV . I INTRODUCTION . . . . . 126
XV . 2 A SELECTION OF MEASUREMENT LOCATION 127
XV . 3 SELECTION OF THE INTERVALS BETWEEN 127 MEASURMENTS
XV . U C-PROGRAME FOR CONVERSION OF ANALOG 127 SIGNAL INTO DIGITAL VALUES
XV . 5 PROJECT DATA . . . . . 127
XV . 6 CONVERSION OF DIGITAL VALUE TO 129 ACCELERATION UNITS
XV . 7 R E S U L T S OBTAINED FROM FAST FOURIER 130 TRANSFORMATION - ACCELARATION IN MM/S2
CHAPTER XVI 'AUTOVIB' - VIBRATION ANALYSING 131 - 137
PROGRAMME
XVI . I INTRODUCTION . . . . . 132
XVI . 2 'AUTOVIB' - VIBRATION ANALYSING PROGRAMME . 135
XVI . 3 EXAMPLES OF GRAPHS OBTAINED FROM . 135 'AUTOVIB' PROGRAM
XVII . U FAULT DETECTION IN ROTATING MACHINERY 136
XVII . 5 OVERALL MEASUREMENT AND SPECTRUM 136 COMPARISON
XVII . 6 HOW SPECTRUM CHANGES ARE RELATED 136 TO THE CONDITION OF A MACHINE
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne ' < • \.-^
CONTENTS
CHAPTER XVII DATA ANALYSIS 138 - 168
XVII . I ENVELOPE SPECTRA OBTAINED FROM 139 ELECTRIC MOTOR (EM02, EMRI AND ECUP)
XVII . 2 COMPARISON OF GRAPHS Al B l l , AL.B2I . 144 AND AL-B3I
XVII . 3 THE MAIN FAULTS CAUSING VIBRATIONS AT 146 MACHINE ROTATING FREQUENCY
XVII . 4 FINDINGS . . . . . 165
CHAPTER XVIII CONCLUSION 169 - 173
CONCLUSION . . . . . . 170
A P P E N D I X - A C-PROGRAM FOR FAST FOURIER . 174 - 177 TRANSFORM
APPENDIX - B C-PROGRAME FOR CONVERSION OF 178 - 183 ANALOG SIGNAL INTO DIGITAL VALUES
APPENDIX - C 'AUTOVIB' - VIBRATION ANALYSING 184 - 194 PROGRAMME
APPENDIX - D AUTO SPECTRA AND ENVELOPE SPECTRA. 195 - 239 AT DIFFERENT CONDITIONS OF A MACHINE
APPENDIX - E ENVELOPE SPECTRA AT DIFFERENT . 240 - 285
CONDITIONS OF A MACHINE
APPENDIX - F VIBRATION MONITORING TEST BED 286 - 303
REFERENCES 304 - 311
G L O S S A R Y 312 320 GLOSSARY . . . . . . . 313
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
LIST O F FIGURES A N D T A B L E S
LIST O F FIGURES A N D T A B L E S
LIST OF FIGURES
F I G N O . F I G U R E P A G E N O .
FIG.
FIG.
FIG.
FIG.
FIG.
. 3 . 3 . 1 Shock Pu lse Transducer and i ts Vibration Signal II
. 3 . U . I Filtered Transducer S igna ls 12
. 3 . 5 . 1 Measurements using Shock Pu lse Meter 13
I . I Allowable Daily and Occasional No ise 16 Exposure Z o n e s
I . 2 Resonance Curve 17
FIG. VII . I . 10 . I S ine Shock Pu lse 44
FIG. VII . I . 17 . I Half Cycle S ine Pu lse , I ts Four ier T r a n s f o r m 48 Magnitude, and Imaginary Component (scale shifted).
FIG. VII . I . 17 . 2 One Cycle S ine Pu lse , and Its Four ier T r a n s f o r m 49
Magnitude.
FIG. VII . I . 17 . 3 S ine Wave and I ts Four ier Transformat ion 51 Curves
FIG. VII . I . 17 . U Four ier T r a n s f o r m of 1 H z 53
FIG. VII . 2 . 3 . I T i m e Domain Signal 56
FIG. VII . 2 . 3 . 2 Frequency Domain 56
FIG. VII . 2 . 3 . 3 Example of a Non - Harmonic Periodic Motion 57 (Piston Acceleration of a Combustion Engine)
FIG. VII . 2 . 3 . U Il lustration of How the Waveform can be 57 "Broken Up" into a S u m of Harmonically Related S ine -Waves
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
LIST OF FIGURES AND TABLES
4
FIG. VII . 2 . 3 . 5 Il lustration of How the Signal can be Described in T e r m s of a Frequency Spectrum
58
FIG. VII . u . 1 Undersampled, Oversampled, and Critically -Sampled Unit Area Gaussian Curves.
68
FIG. VII . 6 . 1 Recording an Array (Here of Length 8) by Bi t Reversal , (A) between T w o Arrays, v e r s u s (B) In Place.
73
FIG. VII . 6 . 2 Input and Output Ar rays for F F T 75
FIG. XI . 2 . 1 . 1 Measured Vibration f rom T e s t s of Periodic Conditions
99
FIG. XI . 2 . 1 . 2 A Typical Model of a Mechanism, in Absence of
Prophylactic Maintenance
99
FIG. XII . 2 . 1 . 1 T h i n Slab Representation of Crysta ls 106
FIG. XII . 2 . 1 . 2 Var ious Effects on Crysta ls 106
FIG. XII . 2 . 1. 3 Typical Frequency Response Curve 108
FIG. XII . 3 . 1 Simpli f ied Charge Amplif ier Model 109
FIG. XII . U . 1 P I E Z O T R O N Circuit & Coupler III
FIG. XIII . 1 . 1 1 Typical Compress ion Mode Accelerometer 116
FIG. XIII . 1 . 1 2 K - S H E A R Accelerometer 117
FIG. XIII . 1 . 2 . A . I Cable Strain Relief 119
FIG. XIV . 1 . 1 Vibration Monitoring S y s t e m 122
FIG. XIV . 2 . 1 . 1 Sleeve Bearing Assemb ly 123
FIG. XIV . 2 . 1 . 2 Ball Bearing Assemb ly 123
FIG. XVI . 1 . 1 Illustrating of View Por ts 13/.
FIG. XVI . 3 . 1 Example of Graph Obtained f rom A U T O V I B ' Program
135
FIG. XVI . 3 . 2 Example of Graph Obtained from ' A U T O V I B ' Program
135
FIG. XVII . 1 . I Characteristics of Electric Motor with No Speed 1̂ 0
FIG. XVII . 1 . 2 Characteristics of Electric Motor in Running \UZ
xvi
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
LIST OF FIGURES AND TABLES
FIG. XVII . 1 . 3 Characteristics of Electric Motor with Coupling 143 attached
FIG. XVII . 2 . 1 Characteristics of Aligned Shaft - Vibration 145 Measured on F i r s t Bearing
FIG. XVII . 2 . 2 Characteristics of Aligned Shaft - Vibration 145 Measured on Second Bearing
FIG. XVII . 2 . 3 Characteristics of Aligned Shaft - Vibration 146 Measured on Th i rd Bearing
FIG. XVII . 3 . 1 Characteristics of Bearing No. 1 with Loosen I47
Coupling No. 1
FIG. XVII . 3 . 2 Characteristics of Electric Motor with Loosen I48
Coupling No. 2
FIG. XVII . 3 . 3 Characteristics of Bearing No. 2 with Loosen I49
Coupling No. 1
FIG. XVII . 3 . U Characteristics of Bearing No. 3 with Loosen I50
Coupling No. 2
FIG. XVII . 3 . 5 Typical Spectrum - S u m m a r y of 150
Graphs XVII . 3 . 2 , 3 and 4
FIG. XVII . 3 . 6 Characteristics of Bearing No. 1 without I5I
Lubrication
FIG. XVII . 3 . 7 Characteristics of Bearing No. 2 without I52 Lubrication
FIG. XVII . 3 . 8 Characteristics of Bearing No. 3 without I53
Lubrication
FIG. XVII . 3 . 9 Typical Spectrum - S u m m a r y of the Graphs I53 made Out of FIG. XVII . 3 . 6, 7 and 8
FIG. XVII . 3 . 10 Characteristics of Bearing No. 1 with Loosen I54
Coupling No. 1
Vibration Diagnostic of Rotor Mechanism in Ships By G. G. Jayarathne . / . " >• y^f'
LIST OF FIGURES AND TABLES
FIG. XVII . 3 . II Characteristics of Bearing No. 2 with Loosen \5U
Coupling No. 2
FIG. XVII . 3 . 12 Characteristics of Electric Motor with Loosen 155
Coupling No. 2
FIG. XVII . 3 . 13 Characteristics of Bearing No. 1 with Loosen I56
Bearing No. 1
FIG. XVII . 3 . 14 Characteristics of Bearing No. 1 with Loosen I57
Bearing No. 2
FIG. XVII . 3 . 15 Characteristics of Bearing No. 1 with Loosen I58 Bearing No. 3
FIG. XVII . 3 . 16 Effects of Soft Foot I58
FIG. XVII . 3 . 17 Characteristics of Bearing No. 1 with Loosen I59
Cap No. 1
FIG. XVII . 3 . 18 Characteristics of Bearing No. 3 with Loosen I60
Cap No. 1
FIG. XVII . 3 . 19 Characteristics of Electric Motor with Loosen I60
Cap No. 1
FIG. XVII . 3 . 20 Characteristics of Electric Motor with Loosen I6I
Cap No. 2
FIG. XVII . 3 . 21 Characteristics of Bearing No. 1 with Loosen I6I
Cap No. 2
FIG. XVII . 3 . 22 Characteristics of Bearing No. 2 with Loosen I62
Cap No. 2
FIG. XVII . 3 . 2 3 Characteristics of Bearing No. 1 with Loosen I62
Cap No. 3
FIG. XVII . 3 . ZU Characteristics of Bearing No. 2 with Loosen I63
Cap No. 3
xviii
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
LIST OF FIGURES AND TABLES
F I G . X V I I . 3 . 25 Characteristics of Bearing No. 3 with Loosen
Cap No. 3
F I G . X V I I . 3 . 26 Characteristics of Electric Motor with Loosen
Cap No. 3
F I G . X V I I . 3 . 27 Typical Spectrum - S u m m a r y of the Graphs
made Out of FIG. XVII . 3 . 1 8 , 1 9 , 2 0 , 2 1 , 2 2 and 23
xix Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
LIST OF FIGURES AND TABLES
LIST OF TABLES
T A B L E N O . T A B L E P A G E N O .
TABLE VII . I . U . I B A S I C F O R M S OF F O U R I E R UO
T R A N S F O M E
TABLE VII . 3 . U . 2 . I S Y M M E T R Y P R O P E R T I E S O F 6U T H E F O U R I E R T R A N S F O R M
TABLE XI . I . 2 . I MONITORING P A R A M E T E R S 97
TABLE XV . 5 . I D A T A O B T A I N E D A F T E R ANALOG 128 / D IG ITAL C O N V E R S I O N
TABLE XV . 7 . I R E S U L T S O B T A I N E D F R O M F A S T 130 F O U R I E R T R A N S F O R M A T I O N
XX
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
LIST O F ABBREVIAT IONS
LIST O F ABBREVIAT IONS CHAPTER I
dBsv Decibel shock value
dBi Initial shock value
dBN Normalized shock value
CHAPTER II
v impact velocity
dB(A) Vibration energy measurement
L Length of the structure
M Function of the mass at the structure and its distribution
I Second moment of area of the material of the structure
about its neutral axis.
f Frequency of applied force
In Frequency of Natural Structure
CHAPTER IV
m Mass or inertia (in Spring-mass system) ( kg )
i Mass or inertia (in Torsional system) ( kg m )
K m Spring (in Spring-mass system) ( Nm )
Kt Spring (in Torsional system) (Nm/rad )
c m Damping (in Spring-mass system) (Ns/m )
c r Damping (in Torsional system) ( Nms/rad )
a Acceleration (in Spring-mass system) ( m /s )
6 Acceleration (in Torsional system) ( rad/s 2 )
v Velocity (in Spring-mass system) ( m /s )
6 Velocity (in Torsional system) (rad/s )
y Displacement (in Spring-mass system) (m )
0 Displacement (in Torsional system) ( rad )
xxii Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
LIST OF ABBREVIATIONS
CHAPTER VII
F(l) Fourier Transform - Time response function
T Periodic time
CO/ Angular velocity
/ Time
an, a„, b„ Fourier transform coefficients
n Integral multiplier
/ o Fundamental frequency (first harmonic)
Af Frequency interval
/(/) Fourier time response
N Number of discrete values
At Sampling interval
/ v Sampling rate
/ v , Nyquist frequency
F(f) Fourier Transform - Frequency response function
Boxcar time response function
Boxcar frequency response function
Number of padded zeros
Number of data values in time series
Af Frequency Increment
Be Resolution bandwidth
fmax Highest frequency
X(f) Fourier transform
x(i) Inverse fourier transform
k Integral coefficient
cik, bk Fourier transform coefficients
f(X). g(X) Original functions
F ( s ) . G(S) Function after convolution
X(mF) Discrete frequency transform function
xxlii Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
LIST OF ABBREVIATIONS
x(nT) Time response function
realOut Array of coefficients of cosine waves in the Fourier formula.
imagOut Array of coefficients of sine waves in the Fourier formula.
h(l) Impulse response
x(t) Input time domain
y(l) Output time domain
X(f) Input frequency domain
Y(f) Output frequency domain
H(f) Impulse frequency domain
f(w) Fourier transform function
f(x) Continuous time function
E(x) Even part of function f(x)
O(x) Odd part of function f(x)
j*(-x) Imaginary Function
F*(-s) Complex Conjugate of Function f(x)
F(s) Fourier Transform function of f(x)
p c Cosine Transform
p s Sine Transform
/' Numerous
xo A Real constant
P = ( x - x 0 )
B A frequency in Hz
H„ Discrete Fourier transform of N-points
W A Complex Number
hk A Vector
Fk k l h component of fourier transform
F'/i k"' Component of Fourier transform of length n/2
dataf 1 ] Real part of/o
data[2] Imaginary part of fo
xxiv
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
LIST OF ABBREVIATIONS
CHAPTER IX
Basic rating life of bearing
Undamped natural (resonant) frequency (Hz)
Frequency at any given point of the curve (Hz)
Output acceleration
Mounting base or reference acceleration
Factor of amplitude increase at resonance
Transducer capacitance
Cable capacitance
Range (or feedback) capacitor
Time constant resistor (or insulation of range capacitor)
Insulation resistance of input circuit (cable and transducer)
Charge generated by the transducer
Output voltage
Open loop Gain
Time Constant
Charge generated by piezoelectric element
Input signal at gate
Transducer capacitance
MOSFET GATE capacitance
Force
Mass
Acceleration
XXV
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
Li„
CHAPTER XII
f
a„
0
c,
c,
R,
Ri
q v 0
A
TC q
Vi
Cc, CHAPTER XIII
F
m
a
LIST OF ABBREVIATIONS
CHAPTER XIV
xxvi
T l , T2, T3 Accelerometers
EM Electric motor
B1,B2, B3 Bearings
I S Tail shaft
IS Intermediate shaft
C1,C2 Couplings
CHAPTER XVII
N Motor speed (rps)
n Number of balls
d Ball diameter
D Pitch diameter
B Contact angle of ball
Z Number of polls
F L Line frequency
N s Synchronous speed
F r o t Rotational frequency
F S Slip frequency
F,, Pole frequency
F Z Slot frequency
F Z ± F R O , Side bands
F z - 2 F L ± F R 0 | Side bands
F M Main supply frequency
EMO Characteristics of electric motor at 0 rpm
ECUP Characteristics of electric motor running with attached coupling only
EMR Characteristics of electric motor running with shafting and propeller
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
LIST OF ABBREVIATIONS
CAP1_B11 Characteristics of bearing no. 1 with loosen cap no. 1
CAP1B21 Characteristics of bearing no. 2 with loosen cap no.l
CAP1B31 Characteristics of bearing no. 3 with loosen cap no.l
CAP 1 EMI Characteristics of electric motor with loosen cap no.l
CAP2B11 Characteristics of bearing no. 1 with loosen cap no.2
CAP2_B21 Characteristics of bearing no. 2 with loosen cap no.2
C A P 2 B 3 1 Characteristics of bearing no. 3 with loosen cap no.2
CAP2_EM1 Characteristics of electric motor with loosen cap no.2
CAP3B11 Characteristics of bearing no. 1 with loosen cap no.3
CAP3_B21 Characteristics of bearing no. 2 with loosen cap no.3
CAP3B31 Characteristics of bearing no. 3 with loosen cap no.3
CAP3_EM1 Characteristics of electric motor with loosen cap no.3
LB1_B11 Characteristics of bearing no. 1 with loosen bearing no.l
LB1_B21 Characteristics of bearing no. 2 with loosen bearing no.l
LB1_B31 Characteristics of bearing no. 3 with loosen bearing no.l
L B 1 E M 1 Characteristics of electric motor with loosen bearing no. 1
L B 2 B 1 1 Characteristics of bearing no. 1 with loosen bearing no.2
L B 2 B 2 1 Characteristics of bearing no. 2 with loosen bearing no.2
LB2_B31 Characteristics of bearing no. 3 with loosen bearing no.2
L B 2 E M 1 Characteristics of electric motor with loosen bearing no.2
LB3B11 Characteristics of bearing no. 1 with loosen bearing no.3
LB3_B21 Characteristics of bearing no. 2 with loosen bearing no.3
L B 3 B 3 1 Characteristics of bearing no. 3 with loosen bearing no.3
LB3_EM1 Characteristics of electric motor with loosen bearing no.3
LC1_B11 Characteristics of bearing no. 1 with loosen coupling no. 1
LC1_B21 Characteristics of bearing no. 2 with loosen coupling no.l
LC1_B31 Characteristics of bearing no. 3 with loosen coupling no.l
LC1_EM1 Characteristics of electric motor with loosen coupling no.
LC2B11 Characteristics of bearing no. 1 with loosen coupling no.2
LC2B21 Characteristics of bearing no. 2 with loosen coupling no.2
Jr xxvii
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
L I S T O F A B B R E V I A T I O N S
L C 2 B 3 1 Characteristics of bearing no. 3 with loosen coupling no.2
LC2_EM 1 Characteristics of electric motor with loosen coupling no.2
UM_B11 Characteristics of bearing no. 1 with unbalance mass
U M B 2 1 Characteristics of bearing no. 2 with unbalance mass
UM_B31 Characteristics of bearing no. 3 with unbalance mass
UM_EM1 Characteristics of electric motor with unbalance mass
N0L1_B11 Characteristics of bearing no. 1 without lubrication
NOL2_B21 Characteristics of bearing no. 2 without lubrication
NOL3_B31 Characteristics of bearing no. 3 without lubrication
ECUP Characteristics of electric motor with coupling attached
A L B 11 Characteristics of bearing no. 1 with shaft aligned
AL_B21 Characteristics of bearing no. 2 with shaft aligned
AL_B31 Characteristics of bearing no. 3 with shaft aligned
•A X X V I I I
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
t
P R E F A C E
P R E F A C E
A ship is the home of the crew for months at a time and of her
passengers perhaps for weeks. The influence of vibration upon comfort
is therefore extremely important and wil l be a factor in the reputation
of any passenger ship.
Vibration P r o b l e m s on s h i p s s u c h a s m a s t , founda t ion , a n d p rope l l e r shaf t
vibrat ion exc i ted by propuls ion s y s t e m f r e q u e n c i e s c a n lead to s t ruc tura l
fa t igue , d a m a g e to mach ine r y , a n d c a n b e a n n o y i n g , uncomfo r t ab l e , a n d
d a n g e r o u s for p e r s o n s on t h e sh ip .
Vibrat ion h a s b e e n a m a t t e r of c o n c e r n to sh ip d e s i g n e r s s i n c e t h e e n d of t h e
19th c e n t u r y a l t h o u g h its p r e s e n c e in sh ip cha rac t e r i s t i c s w a s k n o w n long
be fo re t ha t t ime a n d its i m p o r t a n c e h a s b e c o m e m u c h e m p h a s i z e d o v e r t h e
las t half cen tu ry . S o m e sailing w a r s h i p s , particularly t h e lightly-built f r igates ,
suf fered from s e r i o u s vibration aft w h e n driven hard , p r o b a b l y a s a resul t of
flow interact ion while t h e r e a r e a c c o u n t s of mas t / sa i l c o m b i n a t i o n s c a u s i n g
s u c h s e v e r e vibration tha t c r e w m e n w e r e th rown from their fee t or, w o r s e ,
from their m a s t - t o p pos i t ions .
T o d a y , a n inc reas ing n u m b e r of n e w or a l te rna t ive s h i p s is l a u n c h e d - very
l a rge a n d very fast c o n t a i n e r sh ip s , c ru i se s h i p s , t a n k e r s with m o d e r n
p ropu l s ion s y s t e m s . D u e to little e x p e r i e n c e with s u c h s h i p s , living cond i t i ons
c a n b e a d v e r s e l y affected by vibration if t h e f r e q u e n c i e s of major exc i t a t i ons
a r e c l o s e to a na tura l f r equency of t h e s u p e r s t r u c t u r e or a par t of it.
In s h i p s , t h e r e a r e s o m a n y s o u r c e s of n o i s e a n d Vibration s u c h a s p ropu l s ion
e n g i n e s a n d e lect r ic g e n e r a t o r s in res t r ic ted s p a c e s a n d s t r u c t u r e s of s h i p s ,
which a r e m a d e of s t ee l , t r ansmi t vibration well. By t h e r e a s o n s , n o i s e a n d
vibrat ion of s h i p s a r e very big by n a t u r e a n d reduc t ion of n o i s e a n d vibration is
impor tan t s u b j e c t for s h i p s .
M X X X
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
P R E F A C E
Effect of Vibration :
O n e c a n d is t inguish two a r e a s , w h e r e s t a n d a r d s h a v e b e e n d e v e l o p e d to
a s s e s s t h e effect of vibration, appl ied to t h e h u m a n body: vibration p a s s i n g to
h a n d a n d w h o l e body . T h e vibration p a s s e s to h a n d , c a n c a u s e t h e d i s e a s e ,
ca l led a s "white finger d i s e a s e , " t h e latter c a n lead to var ie ty of hea l th
p r o b l e m s , r ang ing from mot ion s i c k n e s s to t i s s u e d a m a g e s . It shou ld b e
n o t e d , t ha t t h e re la t ionship b e t w e e n e x p o s u r e a n d t h e d i s e a s e is c o m p l e x a n d
m a n y q u e s t i o n s in this a r e a , r ema in u n a n s w e r e d . A n u m b e r of s t a n d a r d s
incorpora t ing t h e la tes t s t a t e of k n o w l e d g e h a v e b e e n in t roduced o v e r t h e last
few y e a r s with t h e objec t of giving g u i d a n c e to t h o s e , w h o requ i red to a s s e s s
t h e i m p o r t a n c e of h u m a n vibration e x p o s u r e .
It is n o w gene ra l l y be l i eved tha t vibration c a u s e s d a m a g e to b lood v e s s e l s ,
which a r e t h u s m a d e i n c a p a b l e of circulating blood to t h e ex t remi t i e s . T h e r e is
n o known c u r e a n d s y m p t o m s , which a r e i r reversible . S o it is c lear ly impor tan t
to e s t a b l i s h t h e levels of vibration a n d t h e dura t ion of e x p o s u r e , which a r e
stat ical ly likely to c a u s e t h e d i s e a s e a n d to t a k e p r e c a u t i o n s .
Noise:
N o i s e h a s b e e n r e c o g n i z e d a s a n u i s a n c e (in t h e legal s e n s e ) for m a n y y e a r s .
N u i s a n c e c a n b e e i the r public or pr ivate . A pr ivate n u i s a n c e is c o m m o n l y
def ined a s a n unlawful in te r fe rence with a p e r s o n ' s u s e or e n j o y m e n t of land
or of s o m e right ove r it or in c o n n e c t i o n with it. A public n o i s e is a n unlawful
ac t or o m i s s i o n c a u s i n g in te r fe rence with t h e hea l th a n d sa fe ty of t h e publ ic a t
l a rge . A noisy ope ra t i on c a n b e both a public a n d a pr ivate n u i s a n c e . It is not
a l w a y s e a s y to a n s w e r t h e q u e s t i o n of w h e t h e r t h e n u i s a n c e c o m p l a i n e d of is
a public or a pr iva te o n e . If t h e n o i s e n u i s a n c e affects jus t o n e p e r s o n or a
h o u s e h o l d , it is clearly a pr ivate n u i s a n c e . If it affects a c l a s s of t h e public,
s u c h a s t h e r e s i d e n t s of a c o m m u n i t y or of t h e p a s s e r s - b y of a no isy factory, it
is likely to b e a public n u i s a n c e .
xxxi Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
P R E F A C E
A pr iva te ac t ion c a n only b e b rough t by t h e o c c u p i e r of t h e land or by
s o m e o n e w h o h a s a legal in te res t in t h e land, a n d h e c a n only t a k e ac t ion
a g a i n s t t h e p e r s o n w h o c a u s e t h e n u i s a n c e . A public n u i s a n c e is a c r ime , a n d
p r o c e e d i n g s c a n b e t a k e n by public b o d i e s s u c h a s t h e local author i ty or
A t t o r n e y - G e n e r a l or both . All t h e criminal s a n c t i o n s a r e ava i l ab le to t h e court ,
a n in addi t ion it h a s p o w e r to i s s u e a n a b a t e m e n t o rder , which m a y t a k e t h e
form of restr ict ing t h e n o i s e to cer ta in hou r s , or levels , or to c e a s e entirely.
It is well known tha t m u c h of m o d e r n t e c h n o l o g y is de r ived from pro jec t s
o r d e r e d by t h e military industry of t h e d e v e l o p e d c o u n t r i e s . T h e d e e p e s t
r e s e a r c h of m a c h i n e s a n d e q u i p m e n t vibration is d o n e initially in c o u n t r i e s
with s t r o n g nava l fo rces , which h a v e impor tan t n e e d s to minimize n o i s e a n d
vibrat ion. A n u m b e r of nava l r e s e a r c h c e n t e r s tha t d e a l with us ing a n d
d e v e l o p i n g analyt ical too ls for vibration m e a s u r e m e n t a n d reduc t ion exis t in
D e v e l o p e d C o u n t r i e s . T h e s e c e n t e r s a r e e q u i p p e d with m o d e r n
i n s t rumen ta t i on for m e a s u r e m e n t a n d a n a l y s i s of s i g n a l s .most ly us ing
i n s t r u m e n t s p r o d u c e d by Bruel & Kjaer ( D e n m a r k ) a n d Kistler (Norway) . A
n u m b e r of highly qualified e x p e r t s work in t h e s e c e n t e r s a n d p r e p a r e
s p e c i a l i s t s for navy a n d shipbui lding industry.
T h e g r e a t e s t a d v a n c e s c a n m a k e in t h e condi t ion d i a g n o s t i c s of m a c h i n e s
us ing vibrat ion. , T h e AUTOVIB monitor ing m e t h o d for condi t ion d i a g n o s t i c s of
m a c h i n e s us ing vibration c a n b e success fu l ly u s e d in a n u m b e r of civil
i ndus t r i e s including e n e r g y , n u c l e a r p o w e r p lan t s , p a p e r a n d pulp , meta l lu rgy ,
t r a n s p o r t including s h i p s , aviat ion a n d ra i lways .
O n e of t h e main p r o b l e m s in Sri l anka is a g r e a t s h o r t a g e of s p e c i a l i s t s w h o
c a n efficiently u s e condi t ion monitor ing a n d d i a g n o s t i c s s y s t e m s , including
t h o s e with e x p e r t s y s t e m s tha t a r e supp l ied by t h e lead ing W e s t e r n
c o m p a n i e s . T o p r e p a r e t h e s e spec i a l i s t s would t a k e t oo m u c h t ime . Th i s fact
h a s def ined t h e main pecul iar i t ies of t h e vibration d i a g n o s t i c s in Sri l anka . T h e
s t r a t e g y of AUTOVIB, is to d e v e l o p a s y s t e m for condi t ion d i a g n o s t i c s of
s l e e v e b e a r i n g s (fluid film b e a r i n g s ) tha t c a n b e app l ied equa l ly for ball
b e a r i n g s a s well.
xxxii
Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
P R E F A C E
The main problems peculiar to the Sri lankan market
T h e c h a n g e s a s s o c i a t e d with t h e introduction of m a r k e t re la t ions in t h e
n u m b e r of i ndus t r i e s in Sri lanka w e r e s t a r t ed a t t h e e n d of t h e 1 9 5 6 a n d after
1 9 8 0 s with t h e introduction of O p e n e c o n o m y . P l a n s for res t ruc tur ing t h e
e c o n o m y inc luded p l a n s to d e c r e a s e produc t ion c o s t s a n d e x c e s s l abour
e n e r g y . T h e d r a w b a c k s prevail in improving of t h e efficiency of p roduc t ion
p r o c e s s e s is b a s e d on t h r e e main a s s u m p t i o n s :
• T h e a b s e n c e of financial r e s o u r c e s in t h e coun t ry to r e n e w t h e m a c h i n e r y
a n d e q u i p m e n t in t h e majority of indus t r i es for a t l e a s t five to t en y e a r s .
T h e na tu ra l w e a r of t h e e q u i p m e n t shou ld significantly i n c r e a s e its
m a i n t e n a n c e c o s t s a n d t h e introduction of t h e condi t ion d i a g n o s t i c s
s y s t e m s is likely to b e t h e m o s t pract ical w a y to d e c r e a s e t h e s e c o s t s .
• Rela t ively high i n v e s t m e n t s ove r high level d i a g n o s t i c s y s t e m s (Automat i c
Condi t ion moni tor ing S y s t e m s ) p r e v e n t o w n e r s by utilizing s u c h a s y s t e m .
• Signif icant l imitations of exis t ing condi t ion d i a g n o s t i c t e c h n o l o g i e s from
l ead ing W e s t e r n c o m p a n i e s .
T h e following r e a s o n s tha t limit t h e u s e of m o d e r n condi t ion moni tor ing a n d
d i a g n o s t i c s s y s t e m s of A m e r i c a n a n d W e s t - E u r o p e a n p roduc t ion in Sri l anka
• T h e a b s e n c e in m o s t r e g i o n s of qualified p e r s o n n e l w h o c a n u s e t h e s e
s y s t e m s , d e s p i t e t h e e x i s t e n c e of a n u m b e r of scientific c e n t e r s with
e x p e r t s of h ighe r qualification. T h e p rob lem is t ha t to p r e p a r e a p e r s o n to
b e a qualified e x p e r t t a k e s s e v e r a l y e a r s a n d would requ i re significant
f inancial r e s o u r c e s .
• T h e high relat ive pr ice of t h e c o m m o n moni tor ing a n d d i a g n o s t i c s y s t e m s
in Import ing. For e x a m p l e , in t h e W e s t t h e pr ice of t h e d i a g n o s t i c
i n s t rumen ta t i on n e e d e d for a n e x p e r t to work on t h e e n t e r p r i s e is l e s s t h a n
or e q u a l to c o m p a r e d to t h e labor c o s t s of a n e x p e r t for t h e e n t e r p r i s e
dur ing a y e a r . In Sri lanka , taking into a c c o u n t t h e t ax policy, t h e pr ice for
t h e d i a g n o s t i c e q u i p m e n t e q u a l s t h e i n c o m e of a n e x p e r t for a b o u t t en
y e a r s . This m a k e s t h e survival of smal l c o m p a n i e s s p e c i a l i z e d in
d i a g n o s t i c s e r v i c e s imposs ib le .
xxxiii Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
P R E F A C E
• O n e m o r e r e a s o n , which is a l s o e c o n o m i c is t h e high c o s t s of m o u n t i n g
p e r m a n e n t t r a n s d u c e r s on exis t ing e q u i p m e n t . Typically, t h e cons t ruc t ion
of uni ts shou ld b e r e d e s i g n e d to a s s u r e a p p r o p r i a t e m o u n t i n g a n d
pro tec t ion of t h e t r a n s d u c e r s s o a s not to d e s t r o y t h e m in t h e p r o c e s s of
s t a n d a r d m a i n t e n a n c e of t h e e q u i p m e n t .
• T h e last r e a s o n is c o n n e c t e d to t h e e x i s t e n c e of v a r i o u s s t a n d a r d s a n d
r egu l a t i ons tha t differ in e a c h industry t ha t def ine t h e r e q u i r e m e n t s for
different p a r a m e t e r s of t h e main e q u i p m e n t a n d m e t h o d s for their control .
T h e s e r egu la t i ons d o not allow mak ing a dec i s ion for m a i n t e n a n c e a n d
repa i r of t h e e q u i p m e n t without conduc t ing s t a n d a r d m e a s u r e m e n t s tha t
usua l ly requ i re t h e s h u t d o w n of t h e e q u i p m e n t a n d partial d i s a s s e m b l y of
t h e uni ts . T h a t ' s why t h e s e r egu la t ions m a k e it imposs ib l e to u s e m o d e r n
condi t ion moni tor ing s y s t e m s a n d u s e condit ion b a s e d m a i n t e n a n c e .
Th i s a n a l y s i s of t h e cur ren t s i tuat ion led to a r e c o m m e n d a t i o n to s p e e d up t h e
d e v e l o p m e n t of t h e m e t h o d s for m a s s condit ion d i a g n o s t i c s t ha t c a n b e
car r ied out by a u s e r with no spec ia l training in condi t ion d i a g n o s t i c s . T h e s e
m e t h o d s w e r e d e v e l o p e d ove r a per iod of s e v e r a l y e a r s b a s e d on t h e a n a l y s i s
of m a c h i n e v ibra t ions in t h e shipbui lding industry a n d t h e r e su l t an t ex t rac t ion
of d i a g n o s t i c information s igna l s . T h e m e t h o d s d e v e l o p e d w e r e i n t e n d e d to b e
u s e d for condi t ion d i a g n o s t i c s of s u p p l e m e n t a r y m a c h i n e s a n d e q u i p m e n t t h e
m a i n t e n a n c e of which w a s not g o v e r n e d by t h e exis t ing s t a n d a r d s a n d
r egu l a t i ons .
Th i s a n a l y s i s w a s t h e b a s e of this project . At t h e s a m e t ime, a n u m b e r of
p r o b l e m s b e c a m e ev iden t during t h e de ta i l ed m a r k e t r e s e a r c h s t a g e :
• T h e first p rob l em w a s t h e n e e d for appl ica t ion so f tware b a s e d on t h e
d e v e l o p e d m e t h o d s tha t would efficiently r e p l a c e a qualified expe r t . T h e
s y s t e m shou ld a s k t h e c u s t o m e r to d e s c r i b e t h e e q u i p m e n t for d i a g n o s t i c s ,
def ine w h a t d a t a shou ld b e m e a s u r e d , p r o c e s s t h e m e a s u r e d d a t a , m a k e
condi t ion d i a g n o s t i c a n d predict ion for t h e m a c h i n e s a n d e q u i p m e n t u n d e r
control .
xxxiv Vibration Diagnostic of Rotor Mechanism in Ships By G.G.Jayarathne
P R E F A C E
• T h e s e c o n d p rob l em o c c u r r e d after t h e s tar t of t h e exploi ta t ion by t h e
c u s t o m e r s of t h e a u t o m a t i c d i agnos t i c s y s t e m s cons i s t ing of t h e
m e a s u r e m e n t d e v i c e , p e r s o n a l c o m p u t e r a n d t h e appl ica t ion so f twa re .
Th i s w a s t h e p rob l em of t h e c u s t o m e r s s u p p o r t in t h o s e ra re s i t ua t ions
w h e n t h e a u t o m a t i c d i a g n o s t i c s did not a n s w e r e d t h e q u e s t i o n of w h a t is
t h e de fec t in t h e m a c h i n e a n d how d a n g e r o u s it is.
Noise Generated From Machine Vibrations
If you w a n t to r e d u c e m a i n t e n a n c e c o s t s you m u s t improve e q u i p m e n t
mainta inabi l i ty a n d reliability. T h e p r e m i s e be ing , if t h e e q u i p m e n t d o e s not
fail a s often, it c o s t s l e s s to repair . W h e n e q u i p m e n t d o e s fail, l onger life c a n
b e a c h i e v e d if p r o p e r r epa i r s a r e m a d e . P r o p e r r epa i r s m e a n s t h e c a u s e of
failure m u s t b e identified a n d e l imina ted . If this is not d o n e t h e e q u i p m e n t will
fail a g a i n . T h e s e ob jec t ives c a n b e a c c o m p l i s h e d dur ing t h e acquis i t ion p h a s e
of n e w e q u i p m e n t , t h e p u r c h a s e of s p a r e pa r t s , a n d a c c u r a t e d i a g n o s i s of all
rota t ing m a c h i n e r y p r o b l e m s . If e i ther of t h e s e i t ems a r e not proper ly
m a n a g e d t h e ob jec t ives m a y not b e a c h i e v e d . Execu t i ve e v a l u a t i o n s ,
p a y m e n t of b o n u s e s , p roduct ion ob jec t ives a n d o t h e r b rownie point s y s t e m s
t e n d to f o c u s m a n a g e m e n t ' s a t ten t ion on t h e shor t t e rm i n s t e a d of t h e long
t e r m . Th i s c a n a l s o affect maintainabil i ty a n d reliability.
In field b a l a n c i n g m a c h i n e s with high vibra t ions , t h e u s e of c o m m o n m e t h o d s
of d e t e r m i n i n g b a l a n c e w e i g h t s often d o e s not yield sa t i s fac tory r e su l t s . An
a n a l y s i s of t h e r e a s o n s for this s h o w s tha t t h e r e a r e two ma in g r o u p s of
c o n s t r a i n t s on t h e ba l anc ing efficiency: T h e fo rces of different n a t u r e from
s imp le u n b a l a n c e t ha t exc i t e vibration a t t h e rotat ing f r e q u e n c y a n d t h e
e x i s t e n c e of cer ta in d e f e c t s in t h e m a c h i n e tha t c a n c h a n g e t h e m e c h a n i c a l
p r o p e r t i e s of t h e m a c h i n e .
T h e t e c h n o l o g y on how to d i a g n o s e p r o b l e m s in rotat ing m a c h i n e r y is equa l ly
unpa ra l l e l ed . T h e t e c h n o l o g y h a s p r o g r e s s e d from a m p l i t u d e m e a s u r i n g a n d
t r end ing to us ing t h e t ime d o m a i n s ignal , p h a s e , a n d f r e q u e n c y d o m a i n
s p e c t r a for a c c u r a t e d i a g n o s i s of specif ic p r o b l e m s . In fact, it m a y b e t ime to
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p r o g r e s s to t h e next s t e p b e y o n d predict ive m a i n t e n a n c e to e q u i p m e n t
maintainabi l i ty a n d reliability.
C o n s i d e r a t i o n of t h e reliability a n d s e r v i c e life of a m a c h i n e s u g g e s t s t ha t low
f r e q u e n c y v ibra t ions p r e s e n t t h e g r e a t e s t s o u r c e of d a n g e r to a m a c h i n e . For
m a c h i n e s with rotat ing p a r t s (rotors) , this is typically a vibrat ion a t t h e rotat ion
f r e q u e n c y . Th i s vibration m a y significantly i n c r e a s e dur ing t h e m a c h i n e
o p e r a t i o n . Usually, w h e n t h e vibration level e x c e e d s cer ta in limits, t h e u s e r s
c o n d u c t m a i n t e n a n c e of t h e m a c h i n e . T h e inertial f o r ce s d u e to t h e u n b a l a n c e
of t h e rotat ing p a r t s relat ive to t h e rotation ax is a r e typically c o n s i d e r e d to b e
t h e r e a s o n s for t h e vibration i n c r e a s e . T h a t ' s why t h e u s e r s try field b a l a n c i n g
t h e m a c h i n e w h e n pos s ib l e . Unfortunately, a t t empt ing to b a l a n c e t h e m a c h i n e
m a y not a l w a y s p r o d u c e a c c e p t a b l e resu l t s . T h e main r e a s o n s for this a r e
o t h e r p r o b l e m s of t h e m a c h i n e or of its s u p p o r t s . T o e l imina te addi t ional
e x p e n s e s a n d d e l a y s , t h e c u s t o m e r shou ld h a v e t h e information a b o u t t h e
v a r i o u s p o s s i b l e d e f e c t s of t h e m a c h i n e tha t c a n b e r e s p o n s i b l e for t h e
m a c h i n e vibration a t t h e rotating f r equency a n d th is information s h o u l d b e
ava i l ab l e be fo re or a t l eas t during t h e ba l anc ing .
T h e factor, t h e vibration still r e m a i n s a s a n ac tua l p r o b l e m with i n c r e a s e in
s p e e d a n d load of m a c h i n e s in s h i p s . T h e t echn ica l d i a g n o s t i c is t h e p r o c e s s
of t e s t ing t h e m a c h i n e , in o rde r to t e s t t h e condi t ion of it. T h e r e f o r e t h e
t echn ica l d i a g n o s t i c h e l p s to d e t e c t t h e faults of m a c h i n e s while t h e y o p e r a t e .
T h e c h a n g e in condit ion of vibration of m a c h i n e s m a y c a u s e t h e c h a n g e in
t e chn i ca l condi t ion of sh ip m a c h i n e r y t h e n t h e condi t ion of t h e sh ip .
T h e t e r m Diagnostic is a G r e e k word , a n d m e a n s t h e ability to d i s c e r n . It is
u s e d in Medical S c i e n c e . T h a t is t h e sec t ion , which ind ica t e s t h e s y m p t o m s of
d i s e a s e s a n d m e t h o d s us ing to identify t h e d i s e a s e s .
Accurate Diagnosis
A c c u r a t e d i a g n o s i s of m a c h i n e r y p r o b l e m s p r o v i d e s t h e in te l l igence for n e w
e q u i p m e n t acqu i s i t ions , s p a r e p a r t s p u r c h a s i n g , a n d n e c e s s a r y r epa i r s . Th i s
is why this very impor tan t function m u s t b e par t of t h e E q u i p m e n t
Maintainabil i ty a n d Reliability g r o u p .
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O n c e a p r o b l e m h a s b e e n identified t h e n e c e s s a r y m a i n t e n a n c e a n d
e n g i n e e r i n g ta len t m u s t b e ava i l ab le to d e t e r m i n e t h e p r o p e r fix. A c c u r a t e
d i a g n o s i s of m a c h i n e r y p r o b l e m s r e q u i r e s a lot m o r e t h a n condi t ion
moni tor ing a n d t r end ing . A c c u r a t e d i a g n o s i s r e q u i r e s t h e p r o p e r h a r d w a r e ,
so f tware , t e c h n o l o g y , a n d skilled p e o p l e . This i nc ludes t h e u s e of f r e q u e n c y
d o m a i n s p e c t r a , t ime d o m a i n s igna l s , a n d p h a s e r e l a t ionsh ips of f r e q u e n c i e s .
T h e first r e s p o n s e is "we can ' t afford that ." T h e fact is t ha t you can ' t afford not
to d o a c c u r a t e d i a g n o s i s .
If t h e right h a r d w a r e , sof tware , a n d t e c h n o l o g y a r e p l a c e d in t h e h a n d s of
skilled p e o p l e , t h e p a y b a c k per iod is t h e s h o r t e s t , a n d t h e re turn on
i n v e s t m e n t (ROI) is m o r e t h a n for a n y o t h e r i n v e s t m e n t t o d a y . T h e s e s a v i n g s
a r e rea l ized by a reduc t ion in m a i n t e n a n c e c o s t a n d i n c r e a s e d p roduc t ion .
M a n a g e r s s h o u l d rea l ize t h e y m a y h a v e to p u r c h a s e n e w e q u i p m e n t
a n a l y z e r s a n d t r a n s d u c e r s . High quali ty p e r s o n n e l s h o u l d b e a s s i g n e d to t h e
p r o g r a m . T h e s e p e o p l e m u s t b e t ra ined in t h e b e s t t e c h n o l o g y . P e o p l e ' s
a t t i tude s h o u l d b e c h a n g e d from condit ion monitor ing a n d t r end ing to a c c u r a t e
d i a g n o s i s with vibration a n a l y s i s . If t h e s e ob jec t ives a r e a c h i e v e d , t h e
i n c r e a s e in profits for a m e d i u m plant shou ld b e a t l eas t o n e million do l la r s p e r
y e a r .
I m b a l a n c e is a l inear p rob l em. Linear p r o b l e m s b e h a v e in a l inear m a n n e r . If a
m a c h i n e is ou t of b a l a n c e , you shou ld b e a b l e to b a l a n c e it in t h r e e or four
r u n s . If b a l a n c i n g is s o s imple , w h a t is t h e p r o b l e m ? T h e p r o b l e m is
i n a c c u r a t e d i a g n o s i s . T h e r e a r e a lot of vibration "expe r t s " t ha t c a n n o t tell t h e
d i f ference b e t w e e n i m b a l a n c e , l o o s e n e s s , b e n t shaft , m i sa l i gnmen t , softfoot,
b r o k e n rotor b a r s , a n d loading. All of t h e s e p r o b l e m s c a n c a u s e a high
a m p l i t u d e a t rotor s p e e d , h o w e v e r t h e s e p r o b l e m s c a n n o t b e so lved by
b a l a n c i n g .
T h e p r o g r a m "AUTOVIB" g i v e s a b road r a n g e of o p t i o n s to d i a g n o s e a b o v e
m e n t i o n e d d i s o r d e r s a n d irregulari t ies of t h e m a c h i n e r y .
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