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Solution of cubic-quintic duffing oscillators using harmonic balance method
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نویسنده
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hosen m.a. ,chowdhury m.s.h.
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منبع
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malaysian journal of mathematical sciences - 2016 - دوره : 10 - شماره : S - صفحه:181 -192
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چکیده
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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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کلیدواژه
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Analytical solutions; Approximate frequency; Cubicquintic Duffing oscillator; Harmonic balance method
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آدرس
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department of mathematics,rajshahi university of engineering and technology,rajshahi,bangladesh,department of science in engineering,kulliyyah of engineering,gombak,kuala lumpur, Malaysia, department of science in engineering,kulliyyah of engineering,gombak,kuala lumpur,malaysia,international islamic university malaysia, Malaysia
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Authors
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