Welcome to Vibrationdata Matlab Page

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

Shock Analysis Matlab Scripts
SRS Matlab Script (Kelly-Richman & Smallwood)	srs.m
SRS via convolution	srs_conv.m
Time history response of a single-degree-of-freedom system to an arbitrary acceleration base input.	arbit.m
Response of a Single-degree-of-freedom System Subjected to a Half-sine Base Excitation	halfsine.m time_calc.m SDOF_base_animation_function.m
Tripartite Shock Response Spectra Plots	srs_tripartite.m
Mean filter method for removing saturation with optimization.	mean_filter_saturation.m
SRS plotting function	SRS_plot.m
SDOF response to a wavelet base input.	sdof wavelet.m

Signal Processing Matlab Scripts
Time History, PSD, SRS & SPL Statistics & Plotting	signal_stats.m coordinates_ss.m octaves.m PSD_octave.m
Multi-function signal processing script for time histories	signal_functions.m signal_function_extract.m signal_functon_stats.m
Calculate the standard deviation time history from an instantaneous time history	std_dev_th.m
Power Spectral Density	PSD.m FFT_core.m
Conversion of a power spectral density to various octave formats	PSDoct.m octaves.m
Fourier transform	fourier.m progressbar.m
Inverse Fourier transform	invfourier.m
One-sided, Full-amplitude FFT. Includes spectrogram.	full_FFT.m
Inverse FFT	inverseFFT.m
Waterfall FFT	waterfall_FFT.m
Zoom FFT of a time series.	zoomFFT.m zoomFFT_plot.m
Generation of time history signals: 1. sine 2. damped sine 3. sine sweep 4. white noise	generate.m sweep.m white.m
Butterworth Sixth Order Filter, Transfer Function	BH.m
Bessel Filter, Transfer Function	Bessel_H.htm
Butterworth Sixth Order Filter	Butterworth_filter.m filter_coefficients.m apply_filter.m
Bessel Filter via Fourier transform	fourier_filter_Bessel.m Bessel_Transfer.m
Butterworth Sixth Order Filter via Fourier transform	fourier_filter.m Butterworth_Transfer.m
Determine the natural frequency and damping of a transient waveform using time history synthesis	sinefdam.m sf_engine.m
Determine the natural frequency of a sinusoidal waveform using time history synthesis	sinefind.m sfa_engine.m
Extract Time History Segment	extract.m

Random Vibration Matlab Scripts
Miles Equation	Miles.m
Vibration Response Spectra Matlab Script	VRS.m Functions: calculate_PSD_slopes.m interpolate_PSD.m vrs_engine.m AVRS_plot.m
Determine the response of a particular SDOF system to a power spectral density base input	sdof_ran.m sdof_ran_engine.m interpolate_PSD.m calculate_PSD_slopes.m
Overall Level of a Power Spectral Density Function	psd_integ.m Functions: calculate_PSD_slopes.m APSD_VPSD.m APSD_DPSD.m
PSD plotting function with full grid	PSD_plot.m calculate_PSD_slopes.m
SRS plotting function	SRS_plot.m
Synthesis of a Time History to Satisfy a Power Spectral Density	psd_syn.m psd_syn_data_entry.m progressbar.m
Multiply or divide one frequency response function by another.	real_div.m real_mult.m real_mult_intlog.m

Linear Algebra and Eigenvalues
Modified Gram-Schmidt Orthogonalization	modified_Gram_Schmidt.m
Simulateous iteration example for the generalized eigenvalue problem.	simultaneous_iteration.m
Subspace Iteration	subspace_iteration.m
Triangular Decomposition (LU)	triangular_decomp.m pivot.m
Cholesky Decomposition (LLT )	Cholesky.m
Spectral Decomposition (LDLT)	spectral_decomp.m
Sturm Sequence for the Generalized Eigenvalue Problem	sturm_sequence.m LDLT.m

Structural Dynamics
Free vibration of a single-degree-of-freedom system, exact method.	free.m
Free vibration of a single-degree-of-freedom system, ode45 numerical method.	free_ode45.m free_function.m
Free Vibration of a Single-degree-of-freedom System with Nonlinear Stiffness.	nonlin.pdf sdof_stiff2_ode45.m sdof_stiff2_free_function.m
Free vibration of a pendulum, ode45 numerical method. This program solves the nonlinear equation of motion such that large angular displacements are allowed.	pendulum_free_ode45.m pendulum_free_function.m
Vibration of a single-degree-of-freedom system subjected to sinusoidal base excitation, ode45 numerical method.	sinebase_ode45.m sinebase_function.m bode_transfer_function.m
Vibration of a single-degree-of-freedom system subjected to sinusoidal force excitation, ode45 numerical method.	sineforce_ode45.m sineforce_function.m bode_transfer_function.m
Natural frequenices, mode shapes, participation factors and effective modal mass values of a two-degree-of-freedom system.	two_dof.m
Natural frequenices and mode shapes of a three-degree-of-freedom system.	three_dof.m
The Steady-State Frequency Response Function of a Multi-degree-of-freedom System Subjected to Harmonic Base Excitation	two_dof_frf.m
The Steady-State Frequency Response Function of a Multi-degree-of-freedom System Subjected to Harmonic Force Excitation	two_dof_force_frf.m
Natural Frequencies and Mode Shapes of a Beam via the Finite Element Method. This program also calculates the participation factors and effective modal mass values. It allows for the addition of a point mass.	beam.m Functions: beam_data_entry.m local_stiffness.m local_mass.m assembly.m plot_modes.m mass_condense.m
Natural Frequencies and Mode Shapes of a Rocket Vehicle. The user must input a mass density file and an stiffness file. The stiffness file must be in terms of EI. A future version of this program will allow for joint compliance and a branch for a payload.	rocket_bending.m Functions: rocket_bending_data_entry.m rocket_local_stiffness.m rocket_local_mass.m assembly.m plot_modes.m
Natural Frequency of a Single-degree-of-freedom System ( GUI )	SDOF_freq.m SDOF_freq.fig
Vibration Analysis of an Isolated Mass with Six-degrees-of-freedom	six_dof_iso.m
Roots of characteristic equations for structural dynamics	vibration_roots.m

Acoustics
Franken method for a cylindrical structure subjected to a sound pressure field	Franken.m
Liftoff acoustics of a rocket vehicle	liftoff_matlab.zip
Overall dB level from SPL or similar function	dB_rms.m
Transmission loss through a single partition	single_partition.m
Driving Point Impedance	dp_impedance.m dp_plot.m
Vibration Response of a Thin Cylindrical Shell to External Acoustic Pressure via Statistical Energy Analysis	SEA_cylinder.m SEA_plot.m progressbar.m SEA_cylindrical_shell.pdf
Fill factor for a payload fairing	fill_factor.m octaves.m

Animation
Animation of a single-degree-of-freedom system (spring mass system) subjected to sinusoidal base excitation with time history display.	SDOF_base_animation.m
Animation of a single-degree-of-freedom system (spring mass system) subjected to sinusoidal base excitation. (old)	SDOF_sine.m
Animation of seven SDOF systems subjected to common sinusoidal base excitation.	SDOF_sine7.m

Utilities
Digitize SRS and PSD plots from image files, such as .bmp files.	loglog_digitize.m
Another digitization program.	digitize_plot.m
This progam sets up a coordinate table interactively for a PSD or SRS.	coordinates.m
Convert Matlab data to ASCII text. These programs use syntax similar to C/C++.	data_convert.m  data_convert_21.m
Convert time in seconds to hours, min, sec format.	hrminsec.m
Interpolate or extrapolate given two reference coordinates. Linear, Semilog and log options are included.	interpolate_coordinates.m
Logarithmic interpolation of a function.	intlog.m
Plot a large time history by taking only the max and min within successive intervals.	small_plot.m
Calculate the arc length of a half-sine wave. These scripts demonstrate the use of the quad function with variable coefficients.	arclength_sine.m arc_function.m

Recommended Books

Other Vibrationdata Pages:    Home | Tutorials