Closed-form criterion for convergence and stability of pseudo-force method for nonlinear dynamic analysis

DOI10.1007/S11071-016-2944-5zbMath1349.34121OpenAlexW2475755127MaRDI QIDQ345925

Keguan Zou, Satish Nagarajaiah

Publication date: 2 December 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-2944-5

zbMATH Keywords

analytical solutionLindstedt-Poincaré methodbase isolationnegative stiffnesspseudo-force method

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Cites Work

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• The solution structure of the Düffing oscillator's transient response and general solution
• A perturbation method for evaluating nonlinear normal modes of a piecewise linear two-degrees-of-freedom system
• Study of a piecewise linear dynamic system with negative and positive stiffness
• A perturbation method for certain nonlinear oscillators
• A modified Lindstedt-Poincaré method for certain strongly non-linear oscillators
• An elliptic Lindstedt-Poincaré method for certain strongly nonlinear oscillators

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