Solution of cubic-quintic duffing oscillators using harmonic balance method
In this study, Harmonic Balance Method (HBM) is applied to determine approximate analytic solutions of strongly nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. Mainly, a set of nonlinear algebraic equations is solved in this method. The new method avoids the necessity...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia
2016
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/52243/7/52243.pdf http://irep.iium.edu.my/52243/8/52243-Solution%20of%20cubic-quintic%20duffing%20oscillators%20using%20harmonic%20balance%20method_SCOPUS.pdf http://irep.iium.edu.my/52243/ http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb/No16.pdf |
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| Summary: | In this study, Harmonic Balance Method (HBM) is applied to determine
approximate analytic solutions of strongly nonlinear Duffing oscillators
with cubic-quintic nonlinear restoring force. Mainly, a set of nonlinear
algebraic equations is solved in this method. The new method avoids
the necessity of numerically solving sets of algebraic equations with very
complex nonlinearities. Numerical comparisons between the HBM and
the exact solutions reveal that the HBM is a promising tool for strongly
nonlinear oscillator’s problems |
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