Vibration Analysis

Order analysis, time-synchronous averaging, envelope spectra, modal analysis, rainflow counting

Signal Processing Toolbox™ provides functions that let you study and characterize vibrations in mechanical systems. Use order analysis to analyze and visualize spectral content occurring in rotating machinery. Track and extract orders and their time-domain waveforms. Estimate the average spectrum of a signal as a function of order. Perform experimental modal analysis by estimating frequency-response functions, natural frequencies, damping ratios, and mode shapes. Plot stabilization diagrams. Remove noise coherently with time-synchronous averaging and analyze wear using envelope spectra. Generate high-cycle rainflow counts for fatigue analysis.

Functions

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Rotating Machinery

`envspectrum`	Envelope spectrum for machinery diagnosis
`orderspectrum`	Average spectrum versus order for vibration signal
`ordertrack`	Track and extract order magnitudes from vibration signal
`orderwaveform`	Extract time-domain order waveforms from vibration signal
`rpmfreqmap`	Frequency-RPM map for order analysis
`rpmordermap`	Order-RPM map for order analysis
`rpmtrack`	Track and extract RPM profile from vibration signal
`tachorpm`	Extract RPM signal from tachometer pulses
`tsa`	Time-synchronous signal average

Modal Analysis

`modalfit`	Modal parameters from frequency-response functions
`modalfrf`	Frequency-response functions for modal analysis
`modalsd`	Generate stabilization diagram for modal analysis

Fatigue Analysis

rainflow Rainflow counts for fatigue analysis

Topics

Order Analysis of a Vibration Signal
Analyze vibrations in rotating machinery using order analysis.
Rolling Element Bearing Fault Diagnosis (Predictive Maintenance Toolbox)
Perform fault diagnosis of a rolling element bearing based on acceleration signals.
Modal Analysis of Identified Models
Identify a state-space model of a system and use the model to compute frequency-response functions and modal parameters.
Modal Analysis of a Flexible Flying Wing Aircraft (System Identification Toolbox)
This example shows computation of bending modes of a flexible wing aircraft.

Featured Examples

Modal Analysis of a Simulated System and a Wind Turbine Blade

Estimate frequency-response functions and modal parameters from experimental data.

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Compute and Display Order-RPM Map

Display an order-RPM map as a waterfall plot and using built-in functionality.

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Machine Learning and Deep Learning Classification Using Signal Feature Extraction Objects

Use signal feature extraction objects and AI-based classification to identify faulty bearing signals in mechanical systems.

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Vibration Analysis of Rotating Machinery

Analyze vibration signals from a gearbox using time-synchronous averaging and envelope spectra.

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Practical Introduction to Fatigue Analysis Using Rainflow Counting

Use rainflow counting to perform fatigue analysis and find the total damage on a mechanical component due to cyclic stress.

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Practical Introduction to Shock Waveform and Shock Response Spectrum

Compute shock response spectra of synthetic and measured transient acceleration signals.

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Frequency-Response Analysis of MIMO System

Estimate the multi-input/multi-output (MIMO) transfer function for a two-body oscillator. This example starts by computing the system inputs and outputs in the time domain, emulating measurements. After applying the definition of the Z-transform to calculate the frequency-domain transfer function of the system, the example uses the functions tfestimate, modalfrf, and modalfit to estimate the transfer function from the simulated measurement data. The comparison between the outputs of these functions shows how you can retrieve the transfer function from system input/output data.

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