Abstract

An iterative method for nonlinear vibrations, previously discussed by Brock, is treated from a primarily analytic point of view. In this light, it is a modification of a Picard-like process for two-point boundary conditions mentioned by Gwoh-Fan Djang. It is generalized from previous treatments to systems with more than one degree of freedom and to dissipative systems. Despite its quite different rationale, the results are only slight modifications of those obtained by the application of Duffing’s method, indicating that the two are facets of the same fundamental process.

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