Nonlinear oscillations with parametric excitation solved by homotopy analysis method

DOI10.1007/s10409-008-0143-4zbMath1257.70028OpenAlexW1978009060MaRDI QIDQ1939154

Jianmin Wen, Zhengcai Cao

Publication date: 26 February 2013

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-008-0143-4

zbMATH Keywords

parametric excitationnonlinear oscillationseries solutionshomotopy analysis method

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (6)

Extended homotopy analysis method for multi-degree-of-freedom non-autonomous nonlinear dynamical systems and its application ⋮ Improving convergence of incremental harmonic balance method using homotopy analysis method ⋮ The influence of thermal radiation on MHD station-point flow past a stretching sheet with heat generation ⋮ Homotopy analysis method for homoclinic orbit of a buckled thin plate system ⋮ Periodic solutions of multi-degree-of-freedom strongly nonlinear coupled van der Pol oscillators by homotopy analysis method ⋮ Accurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis method

Cites Work

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• On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder
• The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
• Exponentially decaying boundary layers as limiting cases of families of algebraically decaying ones
• Series Solutions of Unsteady Boundary‐Layer Flows over a Stretching Flat Plate
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