A modified harmonic balance method for solving forced vibration problems with strong nonlinearity
M W Ullah, M S Rahman, M A Uddin
Journal of Low Frequency Noise, Vibration and Active Control · 2021
doi:10.1177/1461348420923433 (opens in a new tab)
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Abstract
In this paper, a modified harmonic balance method is presented to solve nonlinear forced vibration problems. A set of nonlinear algebraic equations appears among the unknown coefficients of harmonic terms and the frequency of the forcing term. Usually a numerical method is used to solve them. In this article, a set of linear algebraic equations is solved together with a nonlinear one. The solution obtained by the proposed method has been compared to those obtained by variational and numerical methods. The results show good agreement with the results obtained by both methods mentioned above.
Abstract licence: CC BY-NC
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