Resonant dynamics of an autoparametric system: A study using higher-order averaging

DOI10.1016/0020-7462(95)00041-0zbMath0878.70017OpenAlexW1969370504MaRDI QIDQ2564400

Patricia Davies, Bappaditya Banerjee, Anil K. Bajaj

Publication date: 11 January 1998

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(95)00041-0

zbMATH Keywords

stabilitysmall parameterpendulumbifurcation analysisperiodic and chaotic solutions1:2 internal resonancespring-mass-damperautoparametric vibration absorbersystems with quadratic nonlinearities

Mathematics Subject Classification ID

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

Related Items (8)

Characterization in bi-parameter space of a non-ideal oscillator ⋮ Dynamics of a nonlinear microresonator based on resonantly interacting flexural-torsional modes ⋮ Energy extraction from vortex-induced vibrations using period-1 rotation of an autoparametric pendulum ⋮ Amplitude modulated chaos in two-degree-of-freedom systems with quadratic nonlinearities ⋮ Using the delayed feedback control and saturation control to suppress the vibration of the dynamical system ⋮ Non-Stationary Responses in Externally Excited Two-Degrees-of-Freedom Nonlinear Systems with 1: 2 Internal Resonance ⋮ Nonlinear normal modes and their bifurcations for an inertially coupled nonlinear conservative system ⋮ HIGHER-ORDER AVERAGING FOR PERIODICALLY FORCED WEAKLY NONLINEAR SYSTEMS

Uses Software

• AUTO-86
• DSTool

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