Iterative harmonic balance for period-one rotating solution of parametric pendulum

DOI10.1007/s11071-012-0631-8zbMath1268.70006OpenAlexW1977023077MaRDI QIDQ354778

Tian-Wei Ma, Hui Zhang

Publication date: 22 July 2013

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

Full work available at URL: https://doi.org/10.1007/s11071-012-0631-8

zbMATH Keywords

iterationnonlinear systemsparametric pendulumharmonic balancerotating orbits

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Perturbation methods for rigid body dynamics (70E20) Motion of a rigid body with a fixed point (70E17)

Related Items (1)

Sound and vibration analysis of a nonlinear panel absorber mounted on an enclosure panel using the multi-level residue harmonic balance method

Uses Software

• Matlab
• ode45

Cites Work

• The simplest resonance capture problem, using harmonic balance based averaging
• Bifurcation and route-to-chaos analyses for Mathieu-Duffing oscillator by the incremental harmonic balance method
• Hysteresis models of dynamic mode atomic force microscopes: Analysis and identification via harmonic balance
• Approximate analytical solutions for oscillatory and rotational motion of a parametric pendulum
• Experiments on periodic and chaotic motions of a parametrically forced pendulum
• Subharmonic and homoclinic bifurcations in a parametrically forced pendulum
• Harmonic balance based averaging: Approximate realizations of an asymptotic technique
• Rotating orbits of a parametrically-excited pendulum
• Rotating periodic orbits of the parametrically excited pendulum
• Rotating solutions of the parametrically excited pendulum

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