Approximate super- and sub-harmonic response of a multi-DOFs system with local cubic nonlinearities under resonance

DOI10.1155/2012/531480zbMath1263.93095OpenAlexW2166244793WikidataQ58906088 ScholiaQ58906088MaRDI QIDQ1952883

Yang Caijin

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/531480

zbMATH Keywords

reduced modellocal nonlinearitiesdiscrete mass-spring-damper nonlinear vibration systemfrequency response relationmulti-degree-of-freedoms (DOFs) dynamical system

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Linearizations (93B18) System structure simplification (93B11)

Related Items (1)

Natural frequency analysis of two nonlinear panels coupled with a cavity using the approximate elliptic integral solution and the method of harmonic residual minimization

Cites Work

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• Analytical and numerical solutions of a nonlinear ship rolling motion.
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• Dynamic Analysis of Vibrating Systems with Nonlinearities
• Harmonic, subharmonic, superharmonic, simultaneous sub/super harmonic and combination resonances of self-excited two coupled second order systems to multi-frequency excitation
• Verification, Model Checking, and Abstract Interpretation

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