Matlab Random Vibration Page

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Tutorials

Power Spectral Density Calculation via Matlab: psd_mat.pdf
Guest tutorial submitted by Bob Light.

Additional tutorials are given at: Random Vibration

Signal Processing Matlab Scripts

Time History, PSD, SRS & SPL Statistics & Plotting signal_stats.m

coordinates_ss.m

coordinates_ss_scale.m

octaves.m

PSD_octave.m

Multi-function signal processing script for time histories signal_functions.m

signal_function_extract.m

signal_function_stats.m

Signal Generation	Matlab Scripts
Generation of time history signals: 1=sine 2=cosine 3=damped sine 4=sine sweep 5=white noise 6=terminal sawtooth pulse 7=half-sine pulse 8=versed sine pulse 9=wavelet	generate.m Supporting functions: plot_histogram.m sweep.m white.m Butterworth_LP_filter_function.m filter_coefficients.m apply_filter.m
Generate a white noise time history where the user specifies the standard deviation and kurtosis. The skewness is approximately zero.	white_kurtosis.m progressbar.m
Generate a white noise time history where the user specifies the standard deviation, skewness and kurtosis.	white_kurtosis_skewed.m progressbar.m
Generate a time history with kurtosis > 3. The corresponding histogram has a shape similar to a witch hat.	witch.m

Power Spectral Density	Matlab Scripts
Overall Level of a Power Spectral Density Function	psd_integ.m Functions: calculate_PSD_slopes.m APSD_VPSD.m APSD_DPSD.m psdinteg.pdf
PSD plotting function with full grid	PSD_plot.m calculate_PSD_slopes.m
Synthesis of a Time History to Satisfy a Power Spectral Density The script also has an option for superimposing sine tones, to create a sine-on-random signal.	psd_syn_alt.m Supporting Functions: add_sine_tones.m interpolate_PSD_spec.m plot_histogram.m find_max.m plot_time_history.m accel_PSD_plot.m accel_PSD_syn_plot.m psd_syn_output_plots.m PSD_advise.m PSD_syn_white_noise.m PSD_syn_FFT_core.m PSD_syn_scale_time_history.m PSD_syn_verify.m PSD_syn_velox_correction.m integrate_function.m differentiate_function.m fix_size.m psd_syn_data_entry.m psd_syn_white.m velox_correction.m FFT_core.m progressbar.m
Synthesis of a Time History to Satisfy a Power Spectral Density	Alternate method: psd_syn_sine.m Supporting functions: plot_histogram.m psd_syn_data_entry.m Alternate method for displacement PSD: disp_psd_syn_sine.m dpsd_syn_data_entry.m
Power Spectral Density of a time history	PSD.m Supporting Functions: fix_size.m find_max.m PSD_advise.m PSD_amplitude_metric.m plot_PSD.m plot_PSD_two.m enter_time_history.m enter_PSD.m FFT_core.m psd.pdf spectral.pdf Shock_and_Vibration_Signal_Analysis.pdf
Conversion of a power spectral density to various octave formats	PSDoct.m octaves.m
P95/50 Envelope for a set of PSD measurements	P9550.m P9550_values.m calculate_PSD_slopes.m
Normal tolerance intervals, upper limits	k_factor.m

Random Vibration Matlab Scripts

Miles Equation for Base Excitation Miles.m

Miles Equation for Applied force Miles_force.m

Vibration Response Spectra Matlab Script
VRS.m

Functions:

PSD_library.m
calculate_PSD_slopes.m interpolate_PSD.m
vrs_engine.m
AVRS_plot.m
vrs.pdf

Determine the response of a particular SDOF system to a power spectral density base input sdof_ran.m

Functions:
PSD_library.m

fix_size.m
plot_PSD.m
plot_PSD_two_sdof_ran.m

sdof_ran_engine.m
interpolate_PSD.m
calculate_PSD_slopes.m

Multiply or divide one frequency response function by another. real_div.m

real_mult.m

real_mult_intlog.m

calculate_PSD_slopes.m

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