Reciprocal References

I have never formally published any of my papers in a refereed journal or even in an engineering magazine, but others who have done so have referenced my tutorial papers. I am enclosing samples, which include conference papers, etc. – Tom Irvine * * *… Read more

Rayleigh Distribution

Consider a lightly damped, single-degree-of-freedom system subjected to broadband random base excitation. The system will tend to behave as a bandpass filter. The bandpass filter center frequency will occur at or near the system’s natural frequency. The system response will thus tend to be narrowband… Read more

Tire Imbalance Frequency

Image courtesy of Discount Tire Static Imbalance (left image) Occurs when there is a heavy or light spot in the tire that prevents the tire from rolling evenly and causing the tire and wheel to undergo an up-and-down motion. Dynamic Imbalance (right image) Occurs when… Read more

Cylindrical Shell Enclosed by Shear Diaphragms

The following Matlab script calculates the natural frequencies of a cylindrical shell which is enclosed at each end by a “shear diaphragm.” SD_SD_cylinder.m * * * Reference: Leissa, Vibration of Shells, NASA SP-288 See also: Vibrationdata Rings, Cylinders, Shells & Cones Page – Tom Irvine

Fortran tips

I am relearning Fortran, including the features which have been added since I last used it some twenty years ago.Here is a method for compling a sample Fortran program NAME.F.  This method checks for memory leaks.gfortran -fbounds-check -o NAME NAME.F ./NAMETom’s Fortran programs & related… Read more

Cepstrum Analysis

The cepstrum function was originally developed for characterizing the seismic echoes resulting from earthquake and bomb explosions. It has also been used to determine the fundamental frequency of human speech, to analyze radar signal returns, and to evaluate machinery vibration. A cepstrum of time history… Read more

Autocorrelation & Cross-correlation

Cross-correlation is a measure of similarity of two waveforms as a function of a time-lag applied to one of them. Autocorrelation is the cross-correlation of a signal with itself. It is a time domain analysis useful for determining the periodicity or repeating patterns of a… Read more

Cross Power Spectral Density

The scripts in:  cross_psd.zip calculate the cross power spectral density of two signals. These scripts have an option to sub-divide the data into segments and then take an ensemble average.  This tends to smooth the resulting magnitude and phase curves, but the spectral frequency resolution… Read more