Semilinear Random Vibrations in Discrete Systems

[+] Author and Article Information
E. T. Foster

U. S. Army, Force Planning Analysis Directorate, Office of the Assistant Vice Chief of Staff, Pentagon Building, Washington, D. C.

J. Appl. Mech 35(3), 560-564 (Sep 01, 1968) (5 pages) doi:10.1115/1.3601251 History: Received December 22, 1967; Online September 14, 2011


Random vibration problems are discussed for weakly nonlinear, multidegree-of-freedom discrete systems subjected to zero-mean, stationary random excitation. The semilinear solution technique developed involves substituting an optimum linear set of equations of motion for the actual nonlinear equations of motion. Parameters of this optimum linear system are selected on the basis of the system output so that a cyclic solution occurs. The cycles require parameter selection and response analysis until a convergence occurs in the sense that the answers from cycle to cycle are similar.

Copyright © 1968 by ASME
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