Introduction To Vibration From Caption Data Limited

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Basic introduction to the measurement of vibration and vibration analysis in conjunction with the Zonicbook 618E.

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Caption Data LimitedIntroduction to Vibration Analysis

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Schedule

Introduction to Vibration measurements Transducers

Acceleration Velocity Displacement Force

Sampling Aliasing Leakage Filtering

Caption Data LimitedIntroduction to Vibration Analysis

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Caption Data LimitedIntroduction to Vibration Analysis

Windows Averaging FFT Analysis

Spectrum Auto Spectrum PSD Cross Spectrum Transfer Function

Coherence Real/Imaginary Nyquist

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Caption Data LimitedIntroduction to Vibration Analysis

Rotating Machinery Analysis Order tracking Synchronous Signal Averaging

Basic Modal Analysis Data Acquisition Windowing Data quality Modeling

Resonant Frequency Non Destructive Testing (NDT)

Machine Health Monitoring (TOMAS)

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Caption Data Limited Introduction to Vibration Analysis

Accelerometers

The Model 353B03 is a quartz shear ICP® accelerometer designed for general purpose measurements. It has a sensitivity of 10 mV/g. The quartz shear-mode sensing elements reduce sensitivity to adverse environmental inputs, such as thermal transients, base strain, and transverse motion. The Model 353B03 features a side-exit, 10-32 coaxial connector. Its frequency range of 1 to 7 000 Hz (±5 %) makes this sensor an ideal candidate for general purpose vibration measurements such as vehicle studies, product qualification studies, structural response tests and vibration control

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Caption Data Limited Introduction to Vibration Analysis

Accelerometers

Miniature accelerometers are designed specifically to meet minimum size and weight requirements. Model 352C22 offers a 1 to 8 000 Hz (±5%) frequency range and a sensitivity of 10 mV/g. With a mass of only 0.017 oz (0,5 gm), this sensor excels in testing of lightweight, flexible structures, such as printed circuit boards, disk drives, and those requiring a low-profile unit.

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Caption Data Limited Introduction to Vibration Analysis

Accelerometers

The Model 356B11 is a miniature, four-gram, hermetically sealed titanium accelerometer. The hermetic titanium case provides a rugged, reliable sensor for minimal mass loading in triaxial vibration measurements. The 10 mV/g output from ceramic shear mode sensing elements provides a wide measurement range from 2 to 10 000 Hz (±5%) in the "Z" axis and 2 to 7 000 Hz (±5%) in the "X" and "Y" axes. The 5 ft integral shielded cable terminates in a four-pin connector.

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Caption Data Limited Introduction to Vibration Analysis

Velocity Transducers

Model Numbe

r

Output Sensitiv

ity

Frequency Range (Hz)

Temperature Range

Excitation Source

Mounting Base

Mating Connect

orIntegral Cable Product

Weight

4-102-0001 110 mV/ips 8 - 700+32 to +150°F

0 to +65°C

SELF- GENERATING

2-hole, #8 bolt

1.50" BC

11760 18 inches 14 oz

4-103-0001 110 mV/ips 8 - 700

+150 to +250°F +65 to

+121°C

SELF- GENERATING

2-hole, #8 bolt

1.50" BC

11760 18 inches 14 oz

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Caption Data Limited Introduction to Vibration Analysis

Displacement Transducers

Proximity ProbesThese transducers allow direct observation of shaft or target displacement for a variety of vibration, position, speed, and timing (i.e., phase) measurements. Various tip diameters and thread sizes/configurations are offered to allow measurement ranges as small as 200 micro inches to as large as 1 inch (typically used for differential expansion measurements on large steam turbines), and everything in between, including the popular 80 mil range used for the majority of machinery measurements.

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What are the Componentsof Vibration?

Amplitude Maximum value of vibration

Frequency Number of events or cycles per unit time

Phase Time relationship between vibrations of the

same frequency

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Vibration SourcesNatural Frequencies / Resonance

Machine Design Induced Machine Structure Mass and Stiffness Damping

Resonance When a forcing frequency excites a

natural frequency In rotating machinery, “Critical

Speed” www.captiondata.com

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Vibration SourcesForcing Frequencies

Machine Design

Universal Joints Asymmetrical

Shafts, Cams Gear Mesh Couplings Bearings Pumps & Fans Reciprocating

Machines Motors /

Generators

Machine Faults

Mass Unbalance Misalignment Bent Shaft Mechanical

Looseness Casing /

Foundation Distortion

Bearing Faults Motor Faults

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How is Vibration Measured?

Primitive, Qualitative Methods / Senses Can you actually SEE movement? Can you HEAR something different? What does it FEEL like? Does it SMELL funny? TASTE, not really recommended!

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How is Vibration Measured?

Better, Quantifiable Methods / Amplitude Movement / Displacement Speed / Velocity Acceleration

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Sensors

Physical Movement / Displacement Proximity Probes

Velocity / Speed Velocity Transducers

Acceleration Accelerometers

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Vibration Units

‘English’ Units Pounds (lb) / Inch (in.) / Second (sec)

Displacement in mils, 1 mil = 1/1000th Inch

Peak-to-peak measure Velocity in Inches per second (in/sec or

ips) Peak or RMS measure

Acceleration in gs, 1 g = 386.1 in/sec 2

Peak or RMS measurewww.captiondata.com

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Frequency / Rotational Units

Vibration Frequencies are expressed as:

Cycles per Minute (CPM) or Cycles per Second (HZ)

Machine or Shaft Speed: Revolutions per Minute (RPM)

Phase is expressed as: Degrees, 360 degrees per revolution. May also be expressed as Leading or

Lagging www.captiondata.com

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Relationship of Amplitude, Velocity & Frequency

Any Quantity can be Calculated

If the remaining two Quantities are Known

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Oh man… MATH??

Mathematical Relationships / Displacement to Velocity

V = (2 π f) D

V = Velocity in Inches per second (ips)

π (pi) = 3.14159 (or, the button on your calculator)

f = Frequency in Hz

D = Displacement in mils peak

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Worse… Algebra!

Mathematical Relationships / Velocity to Displacement

If… V = (2 π f) D

Then… D = V / (2 π f)

Velocity to Acceleration

A = (2 π f) V / 386.1

Acceleration to Velocity

V = A * 386.1 / (2 π f)

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And Finally…

Mathematical Relationships / Acceleration to Displacement

A = D (2 π f)2 / 386.1

D= A * 386.1 / (2 π f)2

(we’re done now… you can all relax!)

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Machine Vibration Measures

MEASURE USEFUL FREQ. SPAN

PHYSICAL PARAMETER APPLICATION

Relative Displacement

(proximity probes)0-1000 Hz Stress / Motion Relative Motion in

bearings / casings

Absolute Displacement

(seismic)0-10 Hz Stress / Motion Machine Condition

Velocity(seismic)

10 – 1000 Hz Energy / Fatigue

General Machine Condition,

medium-high frequency vibrations

Acceleration(seismic)

> 1000 Hz Force

General Machine Condition,

medium-high frequency vibrationswww.captiondata.com

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Machine Design Vibration Sources

Eccentric Shafts / Cams Reciprocating Components Pumps & Fans Gears Bearings Couplings Universal Joints Motors & Generators

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Machine Design Vibration Frequencies

Eccentric Shafts / Cams Shaft Speed (1 X) and Multiples

(Orders)

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Machine Design Vibration Frequencies

Reciprocating Machines ½ and Full Multiples of Shaft Speed

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Machine Design Vibration Frequencies

Pumps & Fans Vane Pass & Blade Pass Frequencies

Shaft Speed X Number of Vanes Shaft Speed X Number of Blades Flow Noise / Cavitations

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Machine Design Vibration Frequencies

Gearboxes Gear Mesh Frequencies

Shaft Speed X Number of Teeth

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Machine Design Vibration Sources

Bearing Frequencies, Rolling Element Bearings BPFI – Ball Pass Freq. Inner Race BPFO -- Ball Pass Freq. Outer Race BSF – Ball Spin Frequency FTF -- Fundamental Train Frequency

Max Range Approximation: Shaft Speed X Number of Elements

X 0.6 www.captiondata.com

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Machine DesignVibration Sources

Bearings, Fluid Film / Sleeve Oil Whirl

0.40 – 0.48 X of Shaft Speed Oil Whip

Machinery Operating at > 2 X Critical Speed Oil Whirl Locks onto 2 X Critical

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Machine DesignVibration Sources

Couplings Shaft Speed X Number of Jaws

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Machine DesignVibration Sources

Universal Joints 2 X Shaft Speed

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Machine DesignVibration Sources

Motors & Generators Synchronous Motor Speed (SMS)

2 X Line Frequency / Number of Poles Slip Frequency

SMS – Actual Speed

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Minimum Acquisition Frequencies

COMPONENT / MACHINE SPAN

Shaft Vibration 10 X RPM

Gearbox 3 X Gear Mesh

Rolling Element Bearings 10 X Ball Pass Freq. Inner

Pumps 3 x Vane Pass

Motors / Generators 3 X Line Freq X 2

Fans 3 X Blade Pass

Sleeve Bearings 10 X RPM

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Applicable Sensors & Limits

Credit: John S. Mitchell, machinery Analysis and Monitoring 2 nd edition

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Sensor Mounting Conventions

Position Referenced from DRIVEN end of Shaft

Horizontal 90˚ CLOCKWISE from Vertical

Direction of Rotation Not Considered

Axial Transducers In the Load Zone

Credit: Ronald L. Eshleman, Basic Machinery Vibration

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Useable Frequency Spans ForAccelerometer Mounting Methods

METHOD FREQUENCY LIMIT

Hand Held (stinger) 500 Hz

Magnetic Mount 2,000 Hz

Adhesives2,500 – 4,000 Hz

(dependent on compound)

Bees Wax5,000 Hz

(watch surface temp!)

Stud Mount 6,000 – 10,000 Hz

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Caption Data Limited Introduction to Vibration Analysis

Digital Sampling Amplitude Resolution Effects of under sampling

Aliasing

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Caption Data Limited Introduction to Vibration Analysis

Over Sampling

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Caption Data LimitedIntroduction to Vibration Analysis

Minimum Sampling

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Caption Data Limited Introduction to Vibration Analysis

Leakage

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Caption Data Limited Introduction to Vibration Analysis

Weighting Windows No Window Hanning Blackman Harris Flat Top Exponential Decay Box Car/Rectangular

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Caption Data Limited Introduction to Vibration Analysis

Weighting Windows No Window

Transient events Fixed frequency

Cell centered

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Caption Data Limited Introduction to Vibration Analysis

Weighting Windows No Window

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Caption Data Limited Introduction to Vibration Analysis

Weighting Windows Hanning

Continuous data Good frequency accuracy Most common window May not be suitable for transient data Good for separation of closely spaced

frequencies

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Caption Data Limited Introduction to Vibration Analysis

Weighting Windows Hanning

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Caption Data Limited Introduction to Vibration Analysis

Weighting Windows Blackman Harris

Similar characteristics to Hanning Continuous data Good frequency accuracy Most common window May not be suitable for transient data Good for separation of closely spaced

frequencies

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Caption Data Limited Introduction to Vibration Analysis

Weighting Windows Blackman Harris

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Caption Data Limited Introduction to Vibration Analysis

Weighting Windows Flat Top

Best amplitude Accuracy Frequency accuracy is sacrificed Continuous data Common window for order tracking

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Caption Data Limited Introduction to Vibration Analysis

Weighting Windows Flat Top

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Caption Data Limited Introduction to Vibration Analysis

Weighting Windows Exponential Decay

Used for Bump (impact) testing in Modal Analysis

Used for response channels only Decay is adjustable to eliminate leakage Adds artificial damping

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Caption Data Limited Introduction to Vibration Analysis

Weighting Windows Exponential Decay

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Caption Data Limited Introduction to Vibration Analysis

Weighting Windows Box Car/Rectangular

Used in Bump (impact) testing in Modal analysis

Used only on the reference channel Adjustable leading and trailing edge Zeros all data outside the window

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Caption Data Limited Introduction to Vibration Analysis

Weighting Windows Box Car/Rectangular

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Caption Data Limited Introduction to Vibration Analysis

Averaging Linear/Summation Exponential

Variable decay Peak Hold Time Synchronous

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Caption Data Limited Introduction to Vibration Analysis

Why do we average Improve statistical confidence Extract signals from noise Smooth random vibration

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Caption Data Limited Introduction to Vibration Analysis

Linear/Summation Reduces noise Improves statistical accuracy of repetitive or

stationary signals.

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Caption Data Limited Introduction to Vibration Analysis

Exponential Weights the average count New data carries the most weight Decays the old data Smoothes noise Slows rapidly changing signals

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Caption Data Limited Introduction to Vibration Analysis

Peak Hold Updates the spectral line value with a

new maximum Holds the maximum until updated

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Caption Data Limited Introduction to Vibration Analysis

Time Synchronous Averages in time domain based on a

Synchronous event Reduces effects of other operating equipment

in close proximity Very good for extracting signals from noise

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Caption Data Limited Introduction to Vibration Analysis

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ZonicBook/618E Hardware Features

8 Vibration Inputs Field expandable to 56 vibration inputs 4 tachometer inputs 8 digital I/O 10/100BaseT Ethernet connection Open ICP and over-range indicators on

front panel Signal conditioned output for each input

channel

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ZonicBook/618E Hardware Features

Software configurable ICP®, DC, or AC coupling

9 input voltage ranges 16 bit, 75 dB dynamic range New rugged package with built-in

handle TEDS support

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ZonicBook/618E Hardware Features

Expandable up to 56 analog inputs via WBK18 options

Other hardware options DBK34A battery/DC UPS

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Caption Data Limited Introduction to Vibration Analysis

eZ-AnalystReal Time Vibration Analysis

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eZ-Analyst

Real-Time Vibration Measurement and Analysis

Two Applications Impact

measurement and structure analysis

Continuous data recording and transient analysis

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eZ-Analyst – Impact Applications

Impact measurements 5 averaging methods Multiple reference

channels Interactive displays Cross-channel

analysis, FRF, transfer functions

Export data to Excel or modal analysis software

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eZ-Analyst – Impact Applications

Measurements for Modal Analysis Effect of mass, stiffness, and damping Operating deflection shapes

Automatically save after averaging Automatically increase

modal locations

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eZ-Analyst – Continuous Data Recording Applications

Record “gap-free” data to PC disk

Stripchart data analysis and reduction

Harmonic, SideBand, and FreeForm Cursors

Export data to Excel or eZ-Rotate

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Caption Data Limited Introduction to Vibration Analysis

Rotating Machinery Analysis Order Normalization Order tracking

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Caption Data Limited Introduction to Vibration Analysis

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Caption Data Limited Introduction to Vibration Analysis

eZ-NDTNon Destructive Testing for

Production

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Caption Data Limited Introduction to Vibration Analysis

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Caption Data Limited Introduction to Vibration Analysis

Assumptions If test articles are produced in the same

manner, and have like properties, then they will have the same natural or resonant frequencies.

If the test articles have a change in mass, stiffness or damping, then the resonant or natural frequencies will change.

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Caption Data Limited Introduction to Vibration Analysis

What causes the changes? Changes in mass may be caused by void or

missing operation in the test article Changes in stiffness may be caused by a

material or process variation. Changes in damping can be caused by a

material or process variation or a crack in the test article.

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Caption Data Limited Introduction to Vibration Analysis

The measurement process The test data is converted into the frequency

domain by the analysis software. Key resonant peaks are identified and their frequencies are noted

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Caption Data Limited Introduction to Vibration Analysis

The measurement process Known good and defective test articles are

tested and compared for shifts in fundamental resonant frequencies.

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Caption Data Limited Introduction to Vibration Analysis

The measurement process Each resonant frequency of a known good part is examined

and bands are placed around the peak. If the frequency of a tested part is outside of these bands, then the test article fails.

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Caption Data Limited eZ-TOMAS – Applications and Machinery

eZ-TOMAS On line condition monitoring and

analysis

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Caption Data Limited eZ-TOMAS – Applications and Machinery

Petrochemical, Power Utility, Paper and Steel Mill, Pharmaceutical, etc…

Turbines, Compressors, Gearboxes, Pumps, Motors, Generators, etc…

Typically, 1 to 3 machines per system.

10 to 100,000 RPM range

Temporary or Continuous Monitoring

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Vibration Analysis & Monitoring eZ-TOMAS – Gauge Window

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Vibration Analysis & MonitoringeZ-TOMAS – Gauge Window

Current Values & Status

Vertical Amplitude

Circular Phase Limit Checking /

Log Events FIFO Storage High Water

Marks Relay Outputs

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Vibration Analysis & MonitoringeZ-TOMAS - Configuration Setup

Acquisition Fmax: up to 20 KHz Lines: up to 25,600 Hanning / Flat Top FFT Scale Pref: RMS, PK, P-

P Input Channels

D: DC Cplg, +/- 25V A: ICP, AC Cplg, +/- 5V Gap & Runout Ref. Orbit / Tach Pairs

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Vibration Analysis & MonitoringeZ-TOMAS - Configuration Setup

FIFO Storage Up to

200,000 Records/Channel/File

RPM Range Change in

RPM, Time, Vibration

Alarm Condition

User Snapshot

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Vibration Analysis & Monitoring eZ-TOMAS - Configuration Setup

Spectral Bands OAll, Vdc, 1xA &

1xP 6 User Defined Overall, Peak,

Phase Fault Toolkit

Spectral Limits 2 High / 2 Low Delay Text Message www.captiondata.com

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Vibration Analysis & Monitoring Rotating Machinery Analysis

Orbit, Time Waveform w/ or w/o

Filtered N Revolutions

Bode w/ or w/o

Runout OAll, 1x, nX

Waterfall Order Tracks RPM Annotation

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Vibration Analysis & Monitoring Rotating Machinery Analysis

Polar Runout, Limits Annotation

Spectrum Harmonic,

Sideband Peak Cursors

Shaft Center Line Trend

OAll, 1x, nX Cursor to History

Location www.captiondata.com

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Vibration Analysis & Monitoring Rotating Machinery Analysis

Automatic Tach Analog

Inputs Dynamically

adjust trigger levels

Trigger Direction

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Vibration Analysis & Monitoring Learning Limits

Statistical Report Steady State

Condition Min, Avg, Max,

Dev Calculate

Limits based on Normal Operation

Before / After Shutdown comparisons

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Vibration Analysis & Monitoring Configuration Setup – Storage

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Vibration Analysis & Monitoring Edit - Spectral Bands

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Vibration Analysis & Monitoring Edit – Spectral Limits

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Vibration Analysis & Monitoring Gauge Window – Monitor Vibration Levels

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Vibration Analysis & MonitoringGauge Window – Monitor Vibration Levels

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Vibration Analysis & Monitoring Plot Windows – Data Source

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Vibration Analysis & Monitoring Plot Windows – Time Waveform

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Vibration Analysis & Monitoring Plot Windows – Spectrum

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Vibration Analysis & Monitoring Plot Windows – Orbit

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Vibration Analysis & Monitoring Plot Windows – Waterfall

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Vibration Analysis & Monitoring Plot Windows – Bode

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Vibration Analysis & Monitoring Plot Windows – Polar

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