Response of Nonlinear Beam to Random Excitation

by Henry R. Busby, Jr., Design Specialist; Holmes and Narver, Inc., Anaheim, CA,
Victor I. Weingarten, (M.ASCE), Prof. of Civ. Engrg.; Univ. of Southern California, Los Angeles, CA,

Serial Information: Journal of the Engineering Mechanics Division, 1973, Vol. 99, Issue 1, Pg. 55-68

Document Type: Journal Paper


The technique of equivalent linearization is used, in conjunction with the finite element method, to investigate the effect of the membrane force on the mean-squared displacement of a simply supported and clamped beam undergoing moderately larger random vibrations. Cases for white and nonwhite excitation are presented. Computations show that for sufficiently large deflections the effect of higher modes must be considered when computing the mean-squared displacement of the fundamental mode.

Subject Headings: Displacement (mechanics) | Nonlinear response | Finite element method | Linear functions | Membranes | Beams | Vibration | Excitation (physics)

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