Two-to-one internal resonances in nonlinear two degree of freedom system with parametric and external excitations.

DOI10.1016/S0378-4754(02)00136-2zbMath1116.70336OpenAlexW2057954659MaRDI QIDQ1874209

Yanyan Li

Publication date: 22 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0378-4754(02)00136-2

zbMATH Keywords

ResonanceHomogeneousMultiple scale perturbation technique

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Multiple scale methods for ordinary differential equations (34E13)

Related Items

Nonlinear stability and chaos in electrohydrodynamics

Cites Work

• Parametric excitation of an internally resonant double pendulum
• The response of two-degree-of-freedom systems with quadratic non-linearities to a combination parametric resonance
• Resonant surface waves and chaotic phenomena
• Harmonic, subharmonic, superharmonic, simultaneous sub/super harmonic and combination resonances of self-excited two coupled second order systems to multi-frequency excitation
• PARAMETRICALLY EXCITED NONLINEAR TWO-DEGREE-OF-FREEDOM SYSTEMS WITH NONSEMISIMPLE ONE-TO-ONE RESONANCE
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