Analytical analysis for large-amplitude oscillation of a rotational pendulum system

DOI10.1016/J.AMC.2010.12.089zbMath1215.34044OpenAlexW2060142107MaRDI QIDQ632829

Juan-Miguel Gracia

Publication date: 28 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.089

zbMATH Keywords

Chebyshev polynomialscubic-quintic Duffing equationMac Laurin seriesrotational pendulum system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (5)

Dynamic analysis of rotating pendulum by Hamiltonian approach ⋮ Control of plant-wide systems using dynamic supply rates ⋮ Nonlinear vibrations of blade with varying rotating speed ⋮ Periodic oscillation and bifurcation analysis of pendulum with spinning support using a modified continuous piecewise linearization method ⋮ An improved piecewise variational iteration method for solving strongly nonlinear oscillators

Cites Work

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• MODIFIED MICKENS PROCEDURE FOR CERTAIN NON-LINEAR OSCILLATORS
• Linearization of conservative nonlinear oscillators
• An Approximate Equivalent Linearization Technique for Nonlinear Oscillations
• Determination of the Period of Nonlinear Oscillations by Means of Chebyshev Polynomials

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