Proceedingsof the

m i n i iIIIIIIIMIIIIIIIAinline

InternationalModalAnalysisConference

3rd InternationalModal Analysis

Conference

January 28-31,1985Orlando Marriott InnInternational Drive

Orlando, Florida

DIRECTOR:

Dominick J. DeMicheleUNION COLLEGE

Aaron Feinsot, Dean, Graduate and Continuing StudiesRae D'Amelio, Administrator

Volume n

Sponsored by:Union College

Schenectady, New York 12308

T A B L E O F C O N T E N T S

VOLUME I

GENERAL SESSION

Keynote Address "Uses And Abuses of Modal Testing" xfii

D. J. Ewins

TECHNICAL PROGRAM

SESSION 1. EXPERIMENTAL CASE HISTORIES I

Field Modal Testing And Evaluation Of Modifications For Bridge Crane Structures Designed ForSensitive Equipment 1

W. D. Strunk, B. W. Van HoySome Experiences In Experimental Modal Analysis 7

Lingmi ZhangVibration Characteristics Of Full- And One-Half Scale Structural Models 15

S. A. Kiger

SESSION 2. ANALYTICAL METHODS I

Linear And Non-Linear Modal Analysis Of Aeroelastic Structural Systems 21R. A. Ibrahim, T. D. Woodall

Verification Of Large Space Structures Using Scale Modelling Laws 31Jay-Chung Chen, John A. Garba, Laura A. Derasetz

Piping Nozzle Spectra Generation Using A Probabilistic Approach With Multiple Support ResponseSpectra Input 37

Dr. C.-W. LinSESSION 3. STRUCTURAL DYNAMICS MODIFICATION I

Structural Dynamic Modification Using Modal Analysis Data 42B. P. Wang, G. Clark, F. H. Chu

Modal Testing Considerations For Structural Modification Applications 46James C. Deel, Yiu W. Luk

The Limitation Of Local Structural Dynamic Modification 53Bo Ping Wang

SESSION 4. LINKING ANALYSIS & TEST I

Linear Finite Element Comparison With Experimental Modal Analysis For A Concrete Gravity Dam ... 59Vincent P. Chiarito

The Multivariate Mode Indicator Function In Modal Analysis 66Roger Williams, John Crowley, Havard Void

Scaling Of Modal Parameters '. 71R. G. Smiley

SESSION 5. PROCESSING MODAL DATA I

Optimization Of Mass And Stiffness Matrices Using A Generalized Inverse Technique On TheMeasured Modes 75

John C. O'Callahan, Richard K. Leung

The Extraction Of Valid Residue Terms Using The Polyreference Technique 80Steven M. Crowley, David L. Brown, Randall J. Allemang

Taking Non Linearities Into Account In Modal Analysis By Curve Fitting Of Transfer Functions ... 88R. Fillod, J. Piranda, D.Bonnecase

SESSION 6. SEISMIC TOPICS I

The Effect Of Modal Truncation On Seismic Base Shear 96P. R. Millarke

Modal Synthesis Of Multiple Substructures With Interface Damping 98S. C. Chen, P. R. Millarke

Randomdec Analysis Of Multi-Degree-Of-Freedom Systems 101

Lin Li-Chung

SESSION 7. MODAL TEST METHODS I

Digital Data Acquisition System For Modal Testing 108David Banaszak, Richard D. Talmadge

Multiple Shaker Excitation Using Coherent Signals 117H. Joseph Weaver, John W. Pastrnak

Comparison Of Acoustic And Mechanical Excitation For Modal Response Measurements 124B. G. Musson, J. R. Stevens

A Comparison Of Methods For Aircraft Ground Vibration Testing 131David L. Hunt

Modal Parameter Identification From Multi-Point Measured Data 138

Hou Zhiqiang, Cheng Yaodong, Tong Zhongfang, Sun Yueming, Lu Naiyan

SESSION 8. TOPICS IN STRUCTURAL DAMPING

The Effect Of Damping And Zero Location On Complex Modes 145G. Dudley Shepard, Faize Jamil

Assessment Of The Extent Of Nonproportional Viscous Damping 151Rajendra Singh, Glen Prater, Jr., Satishkumar S. Nair

Modal Damping And Sound Power Reduction Of Plates With Partial Constrained Layer Damping Treatments 160Karl K. Stevens, Hong-Yuan Hsu

On The Damping Ratio Matrix In Multiple Degree Of Freedom System 167B. L. Jiang, D. J. Inman

Modal Identification Of Damped Structures From Response Measurements 172

H. Nevzat Ozguven, Yavuz Yaman

SESSION 9. MODAL TECHNIQUES FOR ROTATING EQUIPMENT I

Some Aspects Of The Application Of Mechanical Impedance For Turbomachinery And Structural SystemParameter Identification 177

D. E. Bently, A. Muszynska, D. I. G. JonesRotor-Bearing Dynamic Analysis By Substructural Decoupling 187

Robert P. Andrews, Leo K. H. LuApplication Of Modal Superposition In Nonlinear Rotor Dynamic Analysis 191

Brian J. Sullivan, Sanjay Upasani

Modal Analysis Of Airfoil Fan Wheels 198A. J. Errett, J. S. Solecki, D. G. Tuttle

Dynamic Response Of A Turbo-Generator Set 205Dr. A. Craggs, Dr. F. Ellyin, R. Pelot

Natural Torsional Modes Of The Rotor Of A 1500 RPM Turbine Generator Rated 900MW 213

R. Bigret, G. J. Coetzee, D. C. Levy, R. G. Harley

SESSION 10. EXPERIMENTAL CASE HISTORIES II

Centrifuge Tests To Provide Closure Bounds For Switches Subjected To Random Vibration 220Ronald Rodeman, Thomas G. Priddy

SESSION 10. EXPERIMENTAL CASE HISTORIES II (CONTINUED)

Analysis Of Experimental Complex Modes 223Cindy L. Powell

Dynamic Analysis Of An Elevator Counterweight Systems 231Horn-Sen Tzou

Vibration Of A Beam With Motion Limiting Stops 237V. Sundararajan, V. K. Babtiwale

SESSION 11. ANALYTICAL METHODS II

Modal Analysis Using Dynamic Condensation Method 242Mario Paz

The Error Bound Of The Finite Dynamic Element 249Zhao Lingcheng, Chen Jingyu

Using The Hilbert Transform With Linear And Non-Linear Multi-Mode Systems 255Dr. G. R. Tomlinson

Natural Frequencies And Mode Shapes Of Eccentrically Clamped Circular Discs 264H. B. Khurasia, V. 0. S. Olunloyo

A Comparison Of H., H,,, H Frequency Response Functions 272

G. Thomas Rocklin, John Crowley, Havard Void

SESSION 12. LINKING ANALYSIS & TEST II

Modal Analysis Using Dynamic Stiffness Data 279Lieutenant Commander B. J. Dobson

Modal Analysis Of A Healing Fractured Long Bone 286P. K. Sen, Subrata Pal

A New Method Of Component Modal Synthesis With High Accuracy Computational Efficiency SynthesisFlexibility And Adaptability 291

You-fang Lu, Zen-tong Ma

SESSION 13. ANALYTICAL METHODS III

A Solution To The Craig/Bampton Eigenvalue Problem For Multi-Component Structures 299Remi C. Engels

A Modal Confidence Factor For The Polyreference Method 305Havard Void, John Crowley

Global Experimental Modal Analysis. A Comparison Of Different Methods 311Luis I. Carrascosa, Jesus M. Busturia, Jose G. Gimenez

New Method Of Determining The Eigensolutions Of The Associated Conservative Structure From TheIdentified Eigensolutions 322

Qiang Zhang, G. Lallement

A New Approach To Vibratory Systems Based On The Method Of Dimensional Analysis 329G. W. Stachowiak, R. P. Brodzinski

SESSION 14. MODAL TEST METHODS II

Measurement Of Dynamic Characteristics Of a Structure Using Programmed Sine Step Test 338Dantam K. Rao, David I. G. Jones

The FFT Analyzer—Its Application To Paper Industry 346Marian Barasch

Structural Modal Analysis Under Random External And Parametric Excitations 360R. A. Ibrahim, H. Heo

A Multiple Shaker Stepped Sine Data Acquisition System 367Mark A. Clifton, Douglas S. Hanna, Joseph M. Keller

SESSION 14. MODAL TEST METHODS II (CONTINUED)

A New Method Of complex Modal Parameters Identification With Application 372Xu Yan Chu, Chang Si, Sun Qing Hong, Huo Shao Cheng

The Principle And Application Of Vibration Time Domain Monitoring Technique 379

Yang Shuzi, Wang Zhifan

SESSION 15. PROCESSING MODAL DATA II

Guidelines For The Reduction Of Random Modal Test Data 384M. K. Au-Yang, K. P. Maynard

Global Curve Fitting Of Frequency Response Measurements Using The Rational Fraction PolynomialMethod 390

Mark H. Richardson, David L. FormentiReanalysis Techniques Used To Improve Local Uncertainties In Modal Analysis 398

B. P. Wang, F. H. Chu, C. TrundleModal Analysis By State-Space Approach In Frequency Domain 403

S. M. Metwalli, F. FeijoAn Investigation Of The Time History And Modal Responses Of Some Simple Linear And Nonlinear

Systems 410Norman F. Hunter, Jr.

Modal Analysis Of Superphenix Reactor Internal Structures 419

S. Aita, F. Gantenbein, Y. Tigeot

SESSION 16. EXPERIMENTAL CASE HISTORIES III

Vibration Characteristics Of Tubes In A Heat Exchanger 425John C. Simonis, David Steininger

Modal Testing And Analysis Of Nova Laser Structures 431R. Bradley Burdick, H. Joseph Weaver, John W. Pastrnak

Experimental Aspects Of Nelson's Principle Applied To The Modal Analysis Of Non-Linear Structures . 436Lieutenant Commander C. P. Ratcliffe

Experimental Modal Analysis Of a Portal Frame In Frequency And Time Domains ..... 441F. B. Qian, W. Q. Feng, P. Q. Zhang, T. C. Huang

Mini-Modal Testing Of Wind Turbines Using Novel Excitation 451James P. Lauffer, Thomas G. Carne, Arlo R. Nord

Vibration Analysis Of A Rotating Cooling Fan 459Malay Ghosh, A. Rajamani

SESSION 17. STRUCTURAL DYNAMICS MODIFICATION II

Determination Of Rotational Degrees Of Freedom For Moment Transfers In Structural Modifications . . 465John C. O'Callahan, Chaur-Ming Chou, Inn-Wei Lieu

Realistic Structural Modifications: Part I Theoretical Development 471K. B. Elliott, L. D. Mitchell

Structural Dynamics Modification Using Generalized Beam Mass And Stiffness Matrices 477John C. O'Callahan, Chaur-Ming Chou

Structural Dynamics Modification Via Sensitivity Analysis 483Yuan-Fang Chou, Jeng-Shyong Chen

SESSION 18. MEASUREMENT TECHNIQUES

Use Of Non-Contact Measurements For Modal Analysis Of Disk Drive Components . 490H. R. Radwan, J. V. Chokshi

SESSION 18. MEASUREMENT TECHNIQUES (CONTINUED)

New Wafer-Type Proximity Transducer 497Marius Cloutier, F. Lalonde

Angular Vibration Measurements Transducers And Their Configuration 503Torben R. Licht

An Intelligent Amplifier And Its Application To Modal Testing 507Richard D. Talmadge

Rotor Parameter Telemetering System 511Jean-Marc Bourgeois, Francois Lalonde

SESSION 19. ANALYTICAL METHODS IV

Simultaneous Vector Iteration For The Eigensolution Of Nonconservative System Dynamics 515Joseph W. Klahs

On Antiresonances, With Application To Control Of Structures 523G. Dudley Shepard

The Random Response Calculations Of Linear Multi-Degree Of Freedom System Using Matrix ReductionTechnique 527

Anand M. Sharan, Velagala R. Reddy

Identification Of Mechanical System Modal Parameters Using Time Series Approach 536Xing Zhao

A Frequency Domain Curve Fitting Algorithm With Improved Accuracy 541

Jim Adcock, Ron Potter

SESSION 20. MODAL TEST METHODS III

Gravimetric Calibration—An Effective Calibration Method For Modal Testing 548Dave Corelli, R. W. Lally

Multi Shaker Modal Testing Using A Modified Transient Random Excitation 553M. Clark

Structural Dynamic Measurements Using Intensity Methods 558Gunnar Rasmussen

Advanced Measurement Method of Frequency Response Function 565

T. Yamaguchi, M. Ogawa, T. Kasahara, N. Arakawa

SESSION 21. MODAL TECHNIQUES FOR ROTATING EQUIPMENT

A Computer Method For Modal Analysis Of Marine Engine Crankshafts 569Nader D. Ebrahimi

Natural Frequencies And Mode Shapes Of Rotating Structures Using Improved Strain EnergyFormulation In Rayleigh-Ritz Method 574

A. Kaushal, R. Bhat .

The Significance Of Joints On The Stiffness And Damping Of Rolling Element Bearings 584R. Brodzinski, B. J. Stone

Vibration Of A Variable Cross Section Shaft Carrying Multi-Discs With Any Number Of Excitations . 591H. M. Metwally, M. El-Sayed

The Vibrational Characteristics Of Force Fitted Ring 595Prof. Dr. Kwang Sic Kim, Kang Nyoun Kim

Modal Parameters Identifiction Of A Flexible Rotor-Journal Bearing Structure 601Dr. Kama! A. F. Moustafa, Dr. K. R. Asfar

SESSION 22. EXPERIMENTAL CASE HISTORIES IV

Comparison Of Shock-Induced Displacements With Displacements Produced By A CentrifugeAcceleration 608

Thomas G. Priddy, Ronald Rodeman

Modal Analysis Efficiency Improved Via Strain Frequency Response Functions 612Curtis H. Staker

Response Of Steam Turbine Blades Subjected To Distributed Harmonic Nozzle Excitation 618J. S. Rao, N. S. Vyas

Four Ways To Determine Modes Of Vibration In A Plate 627Anders Kyosti, Leif Ek, Nils-Erik Molin

Vibration Analysis Of A Large Industrial Fan 634Robert J. Sayer

SESSION 23. ACOUSTIC & NOISE TOPICS

Surface Intensity Measurements For The Prediction Of Sound Radiation From Structural Modifications 645Darrell K. Young, Martin W. Trethewey

3-Dimensional Acoustic Intensity Measurement By Use Of 4 Microphones 652N. Okubo, Y. Nogiwa, N. Nakane, H. Miyano

The Reduction Of Structure-Borne Noise Through The Combined Application Of Modal And SignatureAnalysis Techniques 660

Jimi-Sauw-Yoeng Tjong, Thomas Moore, Dr. Zygmunt Reif

Relating Acoustic Intensity And Modal Analysis Test Results 665R. G. Smiley

A Modification Of The Noise Calculating Formula Of The Involute Gear 668

Zhang Ce, Liang Zhong

SESSION 24. LINKING ANALYSIS & TEST III

Modal Vector Estimation For Closely-Spaced-Frequency Modes 672Roy R. Craig, Jr., Yung-Tseng Chung, Mark A. Blair

Some Applied Mechanics Considerations For Design Of High-Impact Resistant Structures 679W. H. Hoppmann II, J. C. C. Liu

Indirect Identification Of Excitation Forces By Modal Coordinate Transformation 685

G. Desanghere, R. Snoeys

VOLUME II

SESSION 25. MODAL ANALYSIS FOR MACHINERY DIAGNOSTICS

Detection Of Damages In Structures By The Cross Random Decrement Method 691T. Tsai, J. C. S. Yang, R. Z. Chen

Transmissibility As A Means To Diagnose Damage In Structures 701Mehmet Akgun, Thomas L. Paez, Frederick D. Ju

Modal Tests On Composite Material Structures Application In Damage Detection 708L. Balis Crema, A. Castellani, I. Peroni

Shaft Cracking Supervision Of Heavy Turbine Rotors By FMM Method 714

Adam Rauch

SESSION 26. LINKING ANALYSIS & TEST IV

Problems Of Modal-Analytical Experiments Performed Under Hostile Environmental Conditions 723F. Eberle, J. Kadlec

Modal Analysis Of Elastic Wave Propagation 730James D. Lee, Mirng-Ji Lii

SESSION 26. LINKING ANALYSIS & TEST IV (CONTINUED)

Modal Analysis Of A Cylindrical Structue Immersed In Water 738

Lieutenant R. Randall

SESSION 27. ANALYTICAL METHODS V

Mode Shapes Of Thin Membranes Via Conformal Mapping Techniques 745H. Joseph Weaver

Analysis Of Modal Characteristics Of Coolant Tubes For Inertia! Fusion Applications 751R. L. Engelstad, E. G. Lovell

Substructure Analysis Of Complex Structure With Weak Connections Using Matrix Perturbation. ... 757Chen Su-Huan, Liu Ying-Li

Modal Control Of A Class Of Distributed Parameter System Using Method Of Weighted Residuals . . . 763K. K. Tripathi, V. K. Jain

Experimental Determination Of Eigen Solutions Of Non Self-Adjoint Mechanical Structures 768

Q. Zhang, G. Lallement

SESSION 28. COMPUTER GRAPHICS

Computer Graphics Augmented Instructional Modules 775N. R. Vira, A. D. Weeks

Interactive Computer Graphics And Its Role In Control System Design Of Large Space Structures . . 782A. S. S. R. Reddy

Mode Shape Representation Using Computer Graphics Techniques 789

Charles Kung

SESSION 29. EXPERIMENTAL CASE HISTORIES V

The Dynamic Behavior Of Center Crack Tension Specimens During High Frequency Material FatigueTests 794

David J. Koester, Thomas J. Lagnese, John 0. BarnettA Possible Error Of Impulse Test And The Way Of Its Improving 802

Liang ZhongMechanical Impedance/Mobility—An Overview 809

Dr. Philip C. RymersComparison Of Sine And Random Test Results From A Satellite Modal Test 814

Carl R. Voorhees, George A. ClarkSESSION 30. MODAL TESTING & ANALYSIS CRITIQUE

Experimental Error? No! Experimenter's Error! A Measurement Engineer's View Of ExperimentalModal Analysis 824

Peter K. Stein

Modal Identification Techniques Assessment And Comparison 831SamirR. Ibrahim

Understanding Modal Parameter Terminology And Mode Shape Scaling 840Brett A. Brinkman, David J. Macioce

Practicalities Of Acquiring Valid Data During Modal Tests 845Gary B. Patrick

SESSION 31. VEHICULAR DYNAMICS

Modal Parameters Of Disc Brake Rotor By Data Dependent Systems 850Sudhakar M. Pandit, Eric N. Jacobson, William R. Shapton

Modal Analysis Of Tires Relevant To Vehicle System Dynamics 857Timothy R. Richards, Jack E. Brown, Richard L. Hohman, San V. Sundaram

SESSION 31. VEHICULAR DYNAMICS (CONTINUED)

Structural-Acoustics System Analysis Using The Modal Synthesis Technique 864Donald J. Nefske, Shung H. Sung

Automotive Body Structure Dynamic Sensitivity Investigations Using Body Structural Joint DatabankAnd Modal Analysis Techniques 869

M. K. Rao, R. J. Olsen, H. C. Crabb

SESSION 32. ANALYTICAL METHODS VI

Maximum Entropy Frequency Response Functions 876Havard Void, Steven Crowley, David Geisler, Anthony Wolfer

Impulse Response Of Plates Using Modal Superposition 882James R. Hutchinson

A Low Order Transition Matrix Of The State-Space Equations Of Motion 888M. Massoud, J.-G. Beliveau, D. Lefebvre

Free Vibrations Of Multi-Layer Thick Bimodulous Composite Plates 895Lien-Wen Chen, C. J. Lin

Inverse Perturbation—Psudo Converse For Dynamic Model Modification 901

Liu Ying-Li, Chen Su-Huan

SESSION 33. MACHINE TOOLS DYNAMICS I

Modal Testing And Analysis In Continuous Band Systems 908W. Z. (Ben)^Wu

Application Of Vibration Monitoring To High Volume, Multistation Transfer Machines 915Jimi Sauw-Yoeng Tjong, Thomas Moore, Dr. Zygmunt Reif

Identification Of Forces Generated By A Machine Under Operating Condition 920N. Okubo, S. Tanabe, T. Tatsuno

Dynamic Modelling Of Mechanical Structure Via Undetermined Parameter Methodology 928Chen Qiangen, Lu Naiyan, Tong Zhongfang, Cheng Yaodong, Sun Yueming

A New Technology For Diagnosing The Weak Points Of Machine Tools With Stroboscopic Holography. . . 934X. W. Wang, Y. S. Tan, X. Z. Wang, C. H. Ku

SESSION 34. PROCESSING MODAL DATA III

Determining Component Loads And Stresses With Improved System Modeling Techniques 941Joseph W. Klahs, Gary E. Townley

Inverse Modal Transformations For Structural Dynamics Modification 949John M. Starkey

Identification Of Aeroelastic Phenomenon Employing Bispectral Analysis Techniques 956J.-H. Chang, R. 0. Stearman, D. Choi, E. J. Powers

Effect Of Delay On The Frequency Response Function 965N. Arakawa

State - Space Approach To Modal Analysis 969

S. M. Metwalli

SESSION 35. LINKING ANALYSIS & TEST V

Dynamic Analysis Of Beams And Plates Subjected To Air-Blast Loading 975J. E. Slater, R. Houlston

Discretization Of Structures For Modal Analysis 983Yuan-Fang Chou, Jenn-Shing Tsai

Exponential Window For Burst Random Excitation 989Robert C. Taber, David L. Brown, Havard Void, G. Thomas Rocklin

SESSION 36. SEISMIC TOPICS II

Seismic Response Evaluation Of A Reactor Core Using Modal Synthesis 996R. G. Hill, K. R. Merckx

Seismic Excitation Modal Participation Factor Estimates From Base Fixed Modal Analyses Parameters. 1001James F. Unruh

Use Of Modal Parameters And An Interferometer Control System To Provide An Ultra Stable,Optical Base 1007

Bill J. Simmons, Gerald L. Shaw

Measurement, Synthesis, And Use Of Transmissibility Functions 1014

David A. Kienholz, Mitty C. Plummer

SESSION 37. LINKING ANALYSIS & TEST VI

CANDU 600 Fuelling Machine Non-Linear Finite Element Modelling And Modal Testing 1023A. S. Banwatt, H. A. Wu, H. Murakami, M. Nagata, Y. Takenaka

Strategies For The Verification Of A Finite Element Model 1031

T. A. Brown, R. D. Milne

SESSION 38. ANALYTICAL METHODS VII

The Effect Of Rotational Degrees Of Freedom In System Analysis (SA) Via Building Block Approach(BBA) 1040

Giulio Maleci, Jeffrey W. YoungVibration Of Rectangular Plates Using Beam Characteristic Orthogonal Polynomials In Rayleigh-

Ritz Method 1046R. B. Bhat

A Comparison Of SMURF And Modal Modeling 1053John R. Crowley, G. Thomas Rocklin, Steve M. Crowley, Thomas E. Gorman

Perturbation Method For Complex Eigenvalues Of Damped System And Its Associated IterativeAlgorithm 1060

Zen-tong Ma, Su-huan Chen, You-fang Lu

SESSION 39. EXPERIMENTAL CASE HISTORIES VI

Modal Analysis As A Tool To Enhance Disc Drive Performance 1067Joe Castagna

Propellor FOD Qualification Using Modal Analysis, Artificial Birds, And A Static Impact Facility . 1072Michael L. Drake, Robert S. Bertke

Modal Analysis Of A Base Isolated Building 1082Gerard C. Pardoen, Gary C. Hart

Thermal Vibrations Of Beams With Temperature-Dependent Properties 1087

A. H. Wahyono, E. G. Lovell

SESSION 40. PROCESSING MODAL DATA IV

Dynamic Modelling Of Structures Using A Personal Computer 1093H. R. Martin

Proper Use Of Weighting Functions For Impact Testing 1102Richard C. Sohaney, James M. Nieters

Fast Hilbert Transform And Spectrum In Signalanalytic Applications 1107Adam Rauch

Self-Excited Vibration Of Multi-Disc Rotor Supported On Several Flexible Bearings 1115E. M. Badawy, H. M. Metwally, F. K. Salman

Identification Of Modal Parameters Of The Vibratory Systems From Measured Velocity Admittance. . . 1121Zhao Chun-Sheng

SESSION 40. PROCESSING MODAL DATA IV (CONTINUED)

Inverse Eigenvalue Problems And Identification Of Physical Parameters Of Vibration System . . . . 1129Xu Yangshen, Chen Zhongyi

SESSION 41. ANALYTICAL METHODS VIII

Modal Synthesis Using Eigenvalue Modification 1134Virgil W. Snyder

A Study On The Vibrations Of Axisymmetric Shells 1138J. Ansari, Yung-Ha Yum, Jang Moo Lee

Global Method Of Modal Identification 1145R. Fillod, G. Lallement, J. Piranda, J. L. Raynaud

Investigation Into The Use Of MPR And Polyreference Techniques On A Nonlinear Structure With HighModal Density 1152

Ralph D. Brillhart, Frank Walter, Ed Peterson

Dynamic And Flutter Analysis Using F.E.M. Of The GP-180 1162

Alessandro Mazzoni, Maurizio Pizzamiglio, Rinaldo Piaggio

SESSION 42. MACHINE TOOLS DYNAMICS II

Modal Analysis Of Twist Drills 1171Mark Kohring, Charles Johnson, William Shapton

A Modified Model Of Machining Chatter 1178C. Y. Hu, C. I. Weng, C. K. Chen

Modal Synthesis Technique Of Machine Tool Structure 1185Wang Guanfu, Peng Zemin

A Method Of Damping Overhung Bars Using A Secondary Bar 1194

L. Turno, B. J. Stone

SESSION 43. TOPICS IN STRUCTURAL DAMPING II

Modelling Of Viscoelastic Materials And Its Application In Dynamic Analysis 1200Zhong Qinghui, Sun Yueming, Tong Zhongfang, Chen Yaodong, Lu Naiyan

Design Of Dynamic Vibration Absorber Of Machine-Floor System . 1207K. S. Wang, R. T. Wang

Determination Of The Rational Parameters Of Noise-Reducing Damping Rings For Gears ByExperimental Method 1214

Liang Zhong, Zhang Ce

SESSION 44. STRUCTURAL DYNAMICS MODIFICATION III

A Study On Truncation Error In Substructure Testing 1220Shinya Sekimoto

Truncated Elastic Modes Coupling Effects Minimization Method By Using Special Attitude ControlScheme 1227

Decio Castilho Ceballos, Atair Rios Neto

SESSION 45. ANALYTICAL METHODS IX

Determination Of Elastic Constants Of Orthotropic Materials By Modal Analysis With LinearRegression Techniques 1234

Daze Tang, I-Chih Wang, Joseph Kindel

Finite Element Formulation For Axisymmetric Flows 1240Kamga Fomo, E. Kaptouom

Dynamic Finite Element Method Of A Frame 1245Yin Xuegang

SESSION 45. ANALYTICAL METHODS IX (CONTINUED)

A New Method Reducing The Degree Of Freedom Of Finite Element Model 1250Mintao Xu

BIBLIOGRAPHIES

Modal Analysis Bibliography—An Update—1980-1984 1254Leanne D. Mitchell, Larry D. Mitchell

Modal Analysis Bibliography—An Update—1980-1983 1268Leanne D. Mitchell, Larry D. Mitchell

Experimental Modal Analysis Bibliography 1285

R. J. Allemang

Contents Of The Proceedings Of IMAC-II 1298

Contents Of The Proceedings Of IMAC-1 1307

Author Index 1313