Nonlinear Resonances in a Column Subjected to a Constant End Force

[+] Author and Article Information
M. R. M. Crespo da Silva

Department of Engineering Science, University of Cincinnati, Cincinnati, Ohio 45221

J. Appl. Mech 47(2), 409-414 (Jun 01, 1980) (6 pages) doi:10.1115/1.3153678 History: Received October 01, 1979; Online July 21, 2009


A canonical perturbation method based on Hamilton-Jacobi theory, used together with Galerkin’s method, is employed to analyze the nonlinearly coupled transverse free oscillations of columns subjected to a constant end force. Integrals of motion, readily obtained from this type of analysis, are used to allow the analytical determination of the main characteristics of the resonant motion and of the region of resonance of the system.

Copyright © 1980 by ASME
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