Nonlinear Dynamics of Flexible L-Shaped Beam Based on Exact Modes Truncation

DOI10.1142/S0218127417500353zbMath1360.74106MaRDI QIDQ2985991

Tian-Jun Yu, Wei Zhang, Xiao-Dong Yang

Publication date: 11 May 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

nonlinear dynamicsglobal bifurcationsmodal analysischaotic motionsautoparametric systemflexible multibeam

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Free motions for nonlinear problems in mechanics (70K25) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Plates (74K20) Finite volume methods applied to problems in solid mechanics (74S10)

Related Items (1)

Nonlinear modal coupling in a T-shaped piezoelectric resonator induced by stiffness hardening effect

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear normal modes in multi-mode models of an inertially coupled elastic structure
• Dynamic buckling of simple two-bar frames using catastrophe theory
• The extended Melnikov method for non-autonomous nonlinear dynamical systems and application to multi-pulse chaotic dynamics of a buckled thin plate
• Global bifurcations and chaos. Analytical methods
• Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation
• A Melnikov method for homoclinic orbits with many pulses
• A reduced-order analytical model for the nonlinear dynamics of a class of flexible multi-beam structures
• Amplitude modulated chaos in two-degree-of-freedom systems with quadratic nonlinearities
• Chaos near resonance
• Homoclinic orbits in the dynamics of resonantly driven coupled pendula
• Multi-pulse chaotic dynamics of an unbalanced Jeffcott rotor with gravity effect
• Component mode synthesis using nonlinear normal modes
• The resonances of structures with quadratic inertial non-linearity under direct and parametric harmonic excitation
• Dynamics and control of large space structures
• THE RESPONSE OF A NONLINEAR SYSTEM WITH A NONSEMISIMPLE ONE-TO-ONE RESONANCE TO A COMBINATION PARAMETRIC RESONANCE
• Linear and Nonlinear Structural Mechanics
• Coupling of substructures for dynamic analyses.

This page was built for publication: Nonlinear Dynamics of Flexible L-Shaped Beam Based on Exact Modes Truncation