A method of finding the principal modes of nonlinear vibration systems and their stabilities

DOI10.1007/BF02017401zbMath0631.70022OpenAlexW2062694328MaRDI QIDQ1094901

Kelei Huang, Quanzhong Huo, Liansheng Liu

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf02017401

zbMATH Keywords

numerical methodsnonlinear vibrationstability of principal vibrations

Mathematics Subject Classification ID

Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (1)

Invariant submanifolds and modes of nonlinear autonomous systems

Cites Work

• The resonant vibration of homogeneous non-linear systems
• Normal Modes of Nonlinear Dual-Mode Systems
• Normal modes, uncoupling, and stability for a class of nonlinear oscillators
• On Steady-State Harmonic Vibrations of Nonlinear Systems With Many Degrees of Freedom
• On the existence of periodic solutions and normal mode vibrations of nonlinear systems

This page was built for publication: A method of finding the principal modes of nonlinear vibration systems and their stabilities