Solution Bounds for Transient Vibration Problems

[+] Author and Article Information
T. J. McDaniel, F. J. Testa, P. V. Thangam Babu

Department of Aerospace Engineering, Iowa State University, Ames, Iowa

J. Appl. Mech 44(1), 159-164 (Mar 01, 1977) (6 pages) doi:10.1115/1.3423983 History: Received July 01, 1975; Revised June 01, 1976; Online July 12, 2010


The theory of differential inequalities is applied to systems of nonlinear differential equations of the initial value type. Established bounding theorems are used to construct bounds on the solution of these equations and to develop an iterative procedure for improving these bounds. The methods are illustrated by constructing upper and lower solution bounds for one and two-degree-of-freedom dynamic systems.

Copyright © 1977 by ASME
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