Singular analysis of bifurcation of nonlinear normal modes for a class of systems with dual internal resonances

DOI10.1007/BF02437660zbMath1050.70013MaRDI QIDQ1397641

Zhiqiang Wu, Xinye Li, Yu-Shu Chen

Publication date: 7 August 2003

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

separation of variablesMaple algebra

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (1)

Nonlinear dynamic singularity analysis of two interconnected synchronous generator system with \(1:3\) internal resonance and parametric principal resonance

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• On the existence and bifurcation of minimal normal modes
• Normal modes and global dynamics of a two-degree-of-freedom non-linear system. I: Low energies
• Normal modes and global dynamics of a two-degree-of-freedom non-linear system. II: High energies
• Nonlinear normal modes of buckled beams: Three-to-one and one-to-one internal resonances
• On the normal modes of non-linear dual-mass systems
• Natural modes of a coupled non-linear system
• On Normal Vibrations of a General Class of Nonlinear Dual-Mode Systems
• Normal Modes for Non-Linear Vibratory Systems

This page was built for publication: Singular analysis of bifurcation of nonlinear normal modes for a class of systems with dual internal resonances