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

September 11, 2001

On the fateful morning of 9/11, I watched the TV news coverage of the World Trade Center attack. My mind could scarcely comprehend the unfolding tragedy as I watched each tower collapse. I later wrote an article The World Trade Center Disaster: A Shock Vibration… Read more