Resonance of a nonlinear forced system with two-frequency parametric and self-excitations

DOI10.1016/J.MATCOM.2004.03.002zbMath1070.34061OpenAlexW2007925367MaRDI QIDQ596308

Hassan Abdelhafez

Publication date: 10 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.matcom.2004.03.002

zbMATH Keywords

vibrationresonanceself-excitation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Parametric resonances for nonlinear problems in mechanics (70K28) Multiple scale methods for ordinary differential equations (34E13)

Related Items (1)

Internal resonance of an axially transporting beam with a two-frequency parametric excitation

Cites Work

• Unnamed Item
• Resonance of multiple frequency excitated systems with quadratic, cubic and quartic nonlinearity
• The response of a single-degree-of-freedom system with quadratic and cubic non-linearities to a fundamental parametric resonance
• The response of a single-degree-of-freedom system with quadratic and cubic non-linearities to a principal parametric resonance
• The subharmonic bifurcation solution of nonlinear Mathieu's equation and Euler dynamic buckling problems
• Non-linear Vibrations
• Analytic research on dynamic phenomena of parametrically and self-exited mechanical systems
• Prediction of bifurcations for external and parametric excited one-degree-of-freedom system with quadratic, cubic and quartic nonlinearities

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