Resonance of multiple frequency excitated systems with quadratic, cubic and quartic nonlinearity

DOI10.1016/S0378-4754(02)00142-8zbMath1030.70010MaRDI QIDQ1861523

Hassan Abdelhafez

Publication date: 9 March 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

cubic nonlinearitymultiple frequenciesquartic nonlinearitymultiple scale methodsinusoidal excitationprimary oscillationquadratic nonlineritysteady-state amplitudesub-harmonic oscillationsuper-harmonic oscillation

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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Cites Work

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• Three-to-one internal resonances in hinged-clamped beams
• On the discretization of distributed-parameter systems with quadratic and cubic nonlinearities
• Three-to-one internal resonances in parametrically excited hinged-clamped beams
• Combination tones in the response of single degree of freedom systems with quadratic and cubic non-linearities
• THE RESPONSE OF A NONLINEAR SYSTEM WITH A NONSEMISIMPLE ONE-TO-ONE RESONANCE TO A COMBINATION PARAMETRIC RESONANCE
• SUBHARMONICS IN A NON-LINEAR SYSTEM WITH UNSYMMETRICAL RESTORING FORCE

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