The MLP method for subharmonic and ultra-harmonic resonance solutions of strongly nonlinear systems

DOI10.1007/BF02458993zbMath0983.70503MaRDI QIDQ1841496

Jia-Shi Tang

Publication date: 21 April 2002

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

strongly nonlinear systemDuffing equationvan der Pol-Mathieu equationparameter transformationmodified Lindstedt-Poincaré methodsubharmonic resonance solutionultra-harmonic resonance solution

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (1)

An analysis of nonlinear normal contact microvibrations excited by a harmonic force

Cites Work

• Unnamed Item
• A modified Lindstedt-Poincaré method for certain strongly non-linear oscillators
• Remarks on the perturbation process for certain conservative systems
• A MODIFIED LINDSTEDT–POINCARE METHOD FOR A STRONGLY NON-LINEAR TWO DEGREE-OF-FREEDOM SYSTEM

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