Dynamic Analysis of Rotating Pendulum by Hamiltonian Approach | Zendy

Najeeb Alam Khan | Zendy; Nadeem Alam Khan | Zendy; Fatima Riaz | Zendy

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Dynamic Analysis of Rotating Pendulum by Hamiltonian Approach

Author(s) -

Najeeb Alam Khan,

Nadeem Alam Khan,

Fatima Riaz

Publication year - 2013

Publication title -

chinese journal of mathematics

Language(s) - English

Resource type - Journals

ISSN - 2314-8071

DOI - 10.1155/2013/237370

Subject(s) - hamiltonian (control theory) , nonlinear system , hamiltonian system , amplitude , mathematics , pendulum , mathematical analysis , double pendulum , oscillation (cell signaling) , natural frequency , invariant (physics) , classical mechanics , control theory (sociology) , physics , inverted pendulum , mathematical physics , vibration , computer science , mathematical optimization , control (management) , quantum mechanics , artificial intelligence , biology , genetics

A conservative system always admits Hamiltonian invariant, which is kept unchanged during oscillation. This property is used to obtain the approximate frequency-amplitude relationship of the governing equation with sinusoidal nonlinearity. Here, we applied Hamiltonian approach to obtain natural frequency of the nonlinear rotating pendulum. The problem has been solved without series approximation and other restrictive assumptions. Numerical simulations are then conducted to prove the efficiency of the suggested technique

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