176 Vibration Fundamentals Figure 15.36 Angular sheave misalignment.. Such a vibration signature, referred to as frequency-domain data, is used in signature analysis to evaluate the dyna
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Figure 15.33 Bends that do not change shaft length generate radial forces only
Figures 15.32 and 15.33 illustrate the normal types of bent shafts and the force profiles that result
V-Belts
V-belt drives generate a series of dynamic forces, and vibrations result from these forces Frequency components of such a drive can be attributed to sheaves and belts The elastic nature of belts can either amplify or damp vibrations that are generated by the attached machine-train components
Sheaves
Even new sheaves are not perfect and may be the source of abnormal forces and vibration The primary sources of induced vibration due to sheaves are eccentricity, imbalance, misalignment, and wear
Eccentricity
Vibration caused by sheave eccentricity manifests itself as changes in load and rotational speed As an eccentric drive (Figure 15.34) sheave passes through its normal rotation, variations in the pitch diameter cause variations in the linear belt speed An eccentric driven sheave causes variations in load to the drive The rate at which such variations occur helps to determine which is eccentric An eccentric sheave also may
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Figure 15.34 Eccentric sheaves
Figure 15.35 Light and heavy spots on an unbalanced sheave
appear to be unbalanced However, performing a balancing operation will not correct the eccentricity
Imbalance
Sheave imbalance may be caused by several factors, one of which may be that it was never balanced to begin with The easiest problem to detect is an actual imbalance of the sheave itself A less obvious cause of imbalance is damage that has resulted in loss
of sheave material Imbalance due to material loss can be determined easily by visual inspection, either by removing the equipment from service or using a strobe light while the equipment is running Figure 15.35 illustrates light and heavy spots that result in sheave imbalance
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Figure 15.36 Angular sheave misalignment
Figure 15.37 Parallel sheave misalignment
Misalignment
Sheave misalignment most often produces axial vibration at the shaft rotational frequency (1×) and radial vibration at one and two times the shaft rotational frequency (1× and 2×) This vibration profile is similar to coupling misalignment Figure 15.36 illustrates angular sheave misalignment and Figure 15.37 illustrates parallel misalignment
Wear
Worn sheaves also may increase vibration at certain rotational frequencies However, sheave wear is more often indicated by increased slippage and drive wear Figure 15.38 illustrates both normal and worn sheave grooves
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Figure 15.38 Normal and worn sheave grooves
Belts
V-belt drives typically consist of multiple belts mated with sheaves to form a means of transmitting motive power Individual belts, or an entire set of belts, can generate abnormal dynamic forces and vibration The dominant sources of belt-induced vibrations are defects, imbalance, resonance, tension, and wear
Defects
Belt defects appear in the vibration signature as subsynchronous peaks, often with harmonics Figure 15.39 shows a typical spectral plot (i.e., vibration profile) for a defective belt
Imbalance
An imbalanced belt produces vibration at its rotational frequency If a belt’s performance is initially acceptable and later develops an imbalance, the belt has most likely lost material and must be replaced If imbalance occurs with a new belt, it is defective and also must be replaced Figure 15.40 shows a spectral plot of shaft rotational and belt defect (i.e., imbalance) frequencies
Resonance
Belt resonance occurs primarily when the natural frequency of some length of the belt
is excited by a frequency generated by the drive Occasionally, a sheave also may be excited by some drive frequency Figure 15.41 shows a spectral plot of resonance excited by belt-defect frequency
Belt resonance can be controlled by adjusting the span length, belt thickness, and belt tension Altering any of these parameters changes the resonance characteristics In most applications, it is not practical to alter the shaft rotational speeds, which also are possible sources of the excitation frequency
Resonant belts are readily observable visually as excessive deflection, or belt whip It can occur in any resonant mode so inflection points may or may not be observed
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Figure 15.39 Typical spectral plot (i.e., vibration profile) of a defective belt
Figure 15.40 Spectral plot of shaft rotational and belt defect (i.e., imbalance) frequencies
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Figure 15.41 Spectral plot of resonance excited by belt-defect frequency
Figure 15.42 Examples of mode resonance in a belt span
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along the span Figure 15.42 illustrates first-, second-, and third-mode resonance in a belt span
Tension
Loose belts can increase the vibration of the drive, often in the axial plane
In the case of multiple V-belt drives, mismatched belts also aggravate this condition Improper sheave alignment can also compromise tension in multiple-belt drives
Wear
Worn belts slip and the primary indication is speed change If the speed of the driver increases and the speed of the driven unit decreases, then slippage is probably occurring This condition may be accompanied by noise and smoke, causing belts to overheat and be glazed in appearance It is important to replace worn belts
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Most failures of rotating and reciprocating machinery exhibit characteristic vibration profiles that are associated with specific failure modes This phenomenon is due to the forcing function, caused by a developing defect, having a unique characteristic signature None of the filtered bandwidth monitoring methods provides the means to detect and evaluate these unique profiles Signature analysis provides this capability and its use is required in a comprehensive predictive maintenance program
C HARACTERISTIC V IBRATION S IGNATURES
A vibration signature provides a clear, accurate snapshot of the unique frequency components generated by, or acting on, a machine-train Such a signature is obtained
by converting time-domain data into its unique frequency components using a fast Fourier transform (FFT) Such a vibration signature, referred to as frequency-domain data, is used in signature analysis to evaluate the dynamics of the machine
Frequency-domain vibration signatures form the basis for any predictive maintenance program designed to detect, isolate, and verify incipient problems within a machine-train These signatures are the basic tools used for in-depth analysis methods such as fail-ure-mode, root-cause, and operating dynamics analyses Operating dynamics analysisTM, which is beyond the scope of this module, uses vibration data and other process parameters, such as flow rate, pressure, and temperature, to determine the actual operating condition of critical plant systems
T YPES OF S IGNATURE A NALYSIS
In general, new or immature predictive maintenance programs are limited to comparative analysis or waterfall trending Although these comparative techniques provide
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the ability to detect severe problems, they cannot be used to isolate and identify the forcing functions or failure modes These methods also are limited in their ability to provide early detection of incipient problems
As the predictive maintenance program matures, root-cause analysis and operating dynamics analysisTM methods can be used With the addition of these more advanced diagnostic tools, vibration signatures become an even more valuable process performance improvement tool
Automatic Trending Analysis
A predictive maintenance program utilizing a microprocessor-based vibration analyzer and a properly configured database automatically trends vibration data on each machine-train In addition, it compares the data to established baselines and generates trend, time-to-failure, and alert/alarm status reports
The use of just these standard capabilities greatly reduces unscheduled failures However, these automated functions do not identify the root causes behind premature machine-train component failures In most cases, more in-depth analysis allows the predictive analyst to identify the reason for pending failure and to recommend corrective actions to prevent a recurrence of the problem Again, the specific microproces-sor-based system used determines how much manual effort is required for more in-depth analysis
More In-Depth Trending Analysis
More in-depth analysis is called for when the automatic trending analysis described in the previous section indicates that a machine-train is exhibiting excessive vibration Obviously, machine-trains that are operating within acceptable boundaries do not require further investigation Care should be taken, however, to ensure that the automated functions of the predictive maintenance system report abnormal growth trends
as well as machine-trains that are actually in alarm
Comparative Analysis (Waterfall Trending)
FFT signatures that are collected on a regular schedule provide a means of trending that can help the analyst identify changes in machine condition Changes in the operating parameters, such as load, will directly affect the signatures generated by a machine
Unlike trending analysis, which is based on broadband and narrowband data, comparative analysis is a visual comparison of the relative change of the machine-train’s full vibration signature and its discrete frequency components over a period of time Because vibration signatures are acquired at regular intervals in a predictive maintenance program, this form of trending is very effective in identifying changes in machine condition
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Figure 16.1 Illustration of a waterfall plot
Displaying the signatures in a waterfall or multiple-spectra display (sequentially by data-acquisition time) allows the analyst to easily see the relationship of each frequency component generated by the machine (see Figure 16.1) Any significant change in the amplitude of any discrete frequency is clearly evident in this type of display, which is used in many of the figures in subsequent sections
Although comparative analysis can be used to help the analyst identify specific changes that are generated by process changes, each signature must be normalized for process variations Therefore, as part of the acquired data set, the analyst must record the specific process conditions for each data set With this information and the waterfall display of vibration signatures, the analyst can quantify the changes that result from variations of these parameters
Developing problems within a machine-train can be identified by comparing the FFT signature to the following: (1) a baseline or reference signature, (2) previous signatures, or (3) industrial standards This method determines if a potential problem exists and can be used to isolate within the machine-train the probable source of developing problems
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Figure 16.2 Comparison to baseline reference
Baseline or Reference Signatures
A series of baseline or reference data sets should be taken for each machine-train included in a predictive maintenance program (Figure 16.2) These data sets are necessary to compare with trends, time traces, and FFT signatures that are collected over time Therefore, baseline data sets must be representative of the normal operating condition of each machine-train in order to have value as a reference
In integrated process plants where most machines are subject to variable operating conditions, this exercise requires more than one reference data set for each machine-train To be of benefit, a series of baselines must be acquired from each machine-train, each of which should accurately represent a specific operating variable (i.e., product, machine setup, load, etc.) It is important that all data sets (whether baseline data or current operating data) be clearly identified in order to be useful Current operations data must be compared to a reference data set having the same operating conditions (Figure 16.2)
Note that baseline references must be updated each time a machine-train is overhauled, replaced, or when a new process setup is established A current set of valid reference data is essential when performing comparative analysis
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Table 16.1 Vibration Severity Standards*
Good operating condition
Alert limit
Alarm limit
Absolute-fault limit
I 0.028 0.010 0.156 0.260
II 0.042 0.156 0.396 0.400
III 0.100 0.255 0.396 0.620
IV 0.156 0.396 0.622 1.000
* Applicable to a machine with running speed between 600 to 12,000 rpm Narrowband setting: 0.3× to 3.0× running speed
Machine Class Descriptions:
Class I Small machine-trains or individual components integrally connected with the
complete machine in its normal operating condition (i.e., drivers up to 20 hp) Class II Medium-sized machines (i.e., 20- to 100-hp drivers and 400-hp drivers on spe
cial foundations)
Class III Large prime movers (i.e., drivers greater than 100 hp) mounted on heavy, rigid
foundations
Class IV Large prime movers (i.e., drivers greater than 100 hp) mounted on relatively
soft, lightweight structures
Source: Derived by Integrated Systems, Inc., from ISO Standard 2372
Nonbaseline Signatures
Visual comparison of two signatures can enable the analyst to determine if a problem
is developing As with the case of filtered energy data, all signatures must be normalized for process variables such as speed, load, etc., in order for comparisons to be valid Direct comparison is useful only when both data sets reflect the same operating conditions or parameters
Common-shaft analysis is used to identify the strongest vibration by visually comparing the signatures of all measurement points on a common shaft It is a useful technique for isolating the source of abnormal vibrations Although this method does not absolutely identify the problem, it reduces the number of machine components that must be inspected or evaluated to correct the problem
Industrial Standards
One form of comparative analysis is direct comparison of the acquired data to industrial standards or reference values The vibration severity standards presented in Table 16.1 were established by the International Standards Organization (ISO) These data are applicable for comparison with filtered narrowband data taken from machine-trains with true running speeds between 600 and 12,000 rpm The values from the table include all vibration energy between a lower limit of 0.3× true running speed
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and an upper limit of 3.0× For example, an 1800-rpm machine would have a filtered narrowband between 540 (1800 × 0.3) and 5400 rpm (1800 × 3.0) A 3600-rpm machine would have a filtered narrowband between 1080 (3600 × 0.3) and 10,800 rpm (3600 × 3.0)
Microprocessor Comparisons
Many of the microprocessor-based predictive maintenance systems also allow direct comparisons of the relative strengths of each frequency component Such microprocessor comparisons do not require knowledge of the machine-train or vibration analysis techniques, but both data sets must be acquired under the same operating conditions Increases in relative strength indicate more vibration and a developing problem in the machine-train
Cross-machine comparison is an extremely beneficial tool to the novice analyst Most vibration monitoring systems permit direct comparison of vibration data, both filtered window energy and complete signatures, acquired from two machines This capability permits the analyst to directly compare a machine that is known to be in good operating condition with one that is perceived to have a problem There are several ways that cross-machine comparisons can be made using microprocessor-based systems: multiple plots, ratio, and difference
Multiple Plots
Two or more signatures can be shown on a single display This method permits the analyst to directly compare the actual signatures generated at each measurement point on both the suspect and a reference machine-train This multiple-signature display permits direct comparison of each frequency component within the signatures (Figure 16.3)
Ratio Analysis
With this technique, the signature from the suspect machine is divided by the signature of the reference machine, frequency by frequency The resultant display shows the relative amplitude, both positive and negative, of each frequency component in the suspect machine-train (Figure 16.4) As an example, the display may indicate that the gear-mesh energy in the suspect machine is 40% higher than that in the reference machine (i.e., ratio = 1.4) With this information, the analyst can isolate specific machine components that are potential problems
Difference Analysis
With the difference analysis technique, the signature of the reference machine is subtracted from that of the suspect machine, frequency by frequency The resultant plot displays the difference value, positive and negative, of each frequency component within the two (see Figure 16.5)
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Figure 16.3 Multiple-signature display
Figure 16.4 Ratio of two signatures
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Figure 16.5 Difference of two signatures