Analytic Solution for Nonlinear Multimode Beam Vibration Using a Modified Harmonic Balance Approach and Vieta’s SubstitutionReportar como inadecuado




Analytic Solution for Nonlinear Multimode Beam Vibration Using a Modified Harmonic Balance Approach and Vieta’s Substitution - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Shock and Vibration - Volume 2016 2016, Article ID 3462643, 6 pages -

Research ArticleDepartment of Architecture and Civil Engineering, City University of Hong Kong, Kowloon Tong, Kowloon, Hong Kong

Received 29 June 2015; Accepted 7 October 2015

Academic Editor: Dumitru I. Caruntu

Copyright © 2016 Y. Y. Lee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper presents a modified harmonic balance solution method incorporated with Vieta’s substitution technique for nonlinear multimode damped beam vibration. The aim of the modification in the solution procedures is to develop the analytic formulations, which are used to calculate the vibration amplitudes of a nonlinear multimode damped beam without the need of nonlinear equation solver for the nonlinear algebraic equations generated in the harmonic balance processes. The result obtained from the proposed method shows reasonable agreement with that from a previous numerical integration method. In general, the results can show the convergence and prove the accuracy of the proposed method.





Autor: Y. Y. Lee

Fuente: https://www.hindawi.com/



DESCARGAR PDF




Documentos relacionados