Dynamic analysis of rotating pendulum by Hamiltonian approach

DOI10.1155/2013/237370zbMath1391.70012OpenAlexW2121059025WikidataQ58920739 ScholiaQ58920739MaRDI QIDQ463163

Fatima Riaz, Najeeb Alam Khan, Nadeem Alam Khan

Publication date: 16 October 2014

Published in: Chinese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/237370

Mathematics Subject Classification ID

Motion of a rigid body with a fixed point (70E17) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (1)

Periodic oscillation and bifurcation analysis of pendulum with spinning support using a modified continuous piecewise linearization method

Cites Work

• Hamiltonian approach to nonlinear oscillators
• Analytical analysis for large-amplitude oscillation of a rotational pendulum system
• Higher-order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach
• Multiple-parameter Hamiltonian approach for higher accurate approximations of a nonlinear oscillator with discontinuity
• Solutions of the force-free Duffing-van der Pol oscillator equation
• Application of He's frequency-amplitude formulation to the Duffing-harmonic oscillator
• Harmonic balance based averaging: Approximate realizations of an asymptotic technique
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt--Poincaré method
• Nonlinear oscillator with discontinuity by parameter-expansion method
• Variational approach for nonlinear oscillators
• MODIFIED MICKENS PROCEDURE FOR CERTAIN NON-LINEAR OSCILLATORS

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