Contributions to the Theory of Randomly Forced,Nonlinear,Multiple-Degree-of-Freedom,Coupled Mechanical Systems.

摘要

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)