Nonlinear vibration analysis by an extended averaged equation approach

DOI10.1007/s11071-006-9070-8zbMath1180.70040OpenAlexW2024491032MaRDI QIDQ842059

Ninh Quang Hai, Nguyen Dong Anh, Werner O. Schiehlen

Publication date: 22 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-9070-8

zbMATH Keywords

free oscillationsubharmonic resonancemain resonanceself-excited oscillationsuper harmonic resonance

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Free motions for nonlinear problems in mechanics (70K25) Nonlinear resonances for nonlinear problems in mechanics (70K30) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Cites Work

• Theory of functional differential equations. 2nd ed
• An approach to the problem of closure in nonlinear stochastic mechanics
• Averaging method for strongly nonlinear oscillators with periodic excitations
• On the cumulant-neglect closure method in stochastic dynamics
• Non-linear Vibrations
• Averaging methods in nonlinear dynamical systems
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