An Iterative Numerical Method for Nonlinear Vibrations
- 1 March 1951
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 18 (1) , 1-11
- https://doi.org/10.1115/1.4010214
Abstract
A simple iterative procedure employing numerical integrations is presented for the analysis of free and forced vibrations of undamped systems having nonlinear elasticity. If the elasticity is symmetrical, it is always possible to make an excellent initial approximation, but the method may also be used in cases of unsymmetrical elasticity. Other applications, such as to systems having parameters which vary with time, are discussed.Keywords
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