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- W2359953987 abstract "Strongly non-linear vibrations of an axially forcing beam under transverse dynamic loads were investigated. The Duffing equation, the equation of strongly non-linear and non-autonomous oscillation system of the beam were set up. The energy-iteration method for strongly non-linear autonomous system was modified to deal with strongly non-linear non-autonomous system, and the modified new method was developed, the analytic expressions of solution of primary resonance and superharmonic and subharmonic resonance by the energy method were obtained, and the higher order analytic expression of solution was gotten by means of Newton iteration idea and least square technique principle.The results show that the modified energy iterative method for strongly non-linear and non-autonomous system is both effective and accurate, and that not only the primary resonance but also the superharmonic and subharmonic resonance must be considered in this sort of strongly non-linear beams." @default.
- W2359953987 created "2016-06-24" @default.
- W2359953987 creator A5087760282 @default.
- W2359953987 date "2005-01-01" @default.
- W2359953987 modified "2023-09-25" @default.
- W2359953987 title "Energy-iterative method for solution of super-harmonic and sub-harmonic resonance of strongly non-linear vibrations with an axially forcing beam" @default.
- W2359953987 hasPublicationYear "2005" @default.
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