Random Number Generator

Here is a C++ program which generates random numbers for a user-selected distribution. monte_carlo_random.cpp monte_carlo_random.exe The distribution options are: 1. Uniform 2. Normal 3. Rayleigh 4. Weibull 5. Gumbel 6. Binomial The random numbers can then be used in a Monte Carlo analysis. * *… Read more

Aliasing References

The Nyquist frequency is equal to one-half the sampling rate. Shannon’s sampling theorem states that a sampled time signal must not contain components at frequencies above the Nyquist frequency. Otherwise, an aliasing error will occur. * * * Here are some papers: Notes on sample… Read more

Bessel Functions in Vibration Analysis

Bessel Function Table: Bessel_functions.pdf * * * Tutorials Referencing Bessel Functions Newton-Raphson Method Applied to Vibration Problems: Newrap.pdf Longitudinal Vibration of a Tapered Rod: taper_long.pdf Natural Frequencies of Circular Plate Bending Modes: circular.pdf An Introduction to Slosh: slosh_intro.pdf – Tom Irvine

Data Curve-Fitting

Here is a good website for curve-fitting:  zunzun From the website… Here you can curve fit and surface fit your 2D and 3D data online with a rich set of error histograms, error plots, curve plots, surface plots, contour plots, VRML, auto-generated source code, and… Read more

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