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Approximate Solutions of Primary Resonance for Forced Duffing Equation by Means of the Homotopy Analysis Method |
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| Authors: | YUAN Peixin LI Yongqiang School of Mechanical Engineering & Automation Northeastern University Shenyang China School of Science China |
| Affiliation: | YUAN Peixin 1,and LI Yongqiang 2 1 School of Mechanical Engineering & Automation,Northeastern University,Shenyang 110004,China 2 School of Science,China |
| Abstract: | Nonlinear dynamic equation is a common engineering model.There is not precise analytical solution for most of nonlinear differential equations.These nonlinear differential equations should be solved by using approximate methods.Classical perturbation methods such as LP method,KBM method,multi-scale method and the averaging method on weakly nonlinear vibration system is effective,while the strongly nonlinear system is difficult to apply.Approximate solutions of primary resonance for forced Duffing equation i... |
| Keywords: | homotopy analysis method(HAM) series solution forced Duffing equation numerical solution |
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