Analytic Solution for Nonlinear Multimode Beam Vibration Using a Modified Harmonic Balance Approach and Vieta’s Substitution
Author
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-06
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Lee, Y. Y.. 2016. Analytic Solution for Nonlinear Multimode Beam Vibration Using a Modified Harmonic Balance Approach and Vieta’s Substitution. Shock and Vibration،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1119005
Modern Language Association (MLA)
Lee, Y. Y.. Analytic Solution for Nonlinear Multimode Beam Vibration Using a Modified Harmonic Balance Approach and Vieta’s Substitution. Shock and Vibration No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1119005
American Medical Association (AMA)
Lee, Y. Y.. Analytic Solution for Nonlinear Multimode Beam Vibration Using a Modified Harmonic Balance Approach and Vieta’s Substitution. Shock and Vibration. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1119005
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119005