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Dynamic analysis of rotating pendulum by Hamiltonian approach. (English) Zbl 1391.70012

Summary: 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.

MSC:

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