Contributions to the Theory of Randomly Forced, Nonlinear, Multiple-Degree-of-Freedom, Coupled Mechanical Systems.
Technical rept. 5 Jan 70-4 Feb 71,
BOLT BERANEK AND NEWMAN INC CAMBRIDGE MASS
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Several alternative methods are developed for calculating probability functions and spectra of the response of randomly forced, nonlinear, multiple-degree-of-freedom, coupled mechanical systems. Calculations are made with one of the methods using the assumptions that the force spectrum is white and that all degrees-of-freedom are equally forced and have the same damping factor. The results for a hinged beam show that with increasing mean energy the frequency of maximum spectral density of displacement increases, the apparent bandwidth increases, and the mean square response decreases. These are verified by a computer simulation. Author