Homotopy Perturbation–Based Dynamic Analysis of Structural Systems

Meshki, Hossein; Rezaei, Ahad; Sadeghi, Amir

doi:10.1061/(asce)em.1943-7889.0001860

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2021

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“…In [18,19] HMP was applied to study of the pull-in instability of N/MEMS systems. In [20], HPM-based dynamic analysis was proposed. In [21] the method was extended to solve fractional evolution equation.…”

Section: Introductionmentioning

confidence: 99%

Periodic Property and Instability of a Rotating Pendulum System

Amer

Elnaggar

et al. 2021

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The current paper investigates the dynamical property of a pendulum attached to a rotating rigid frame with a constant angular velocity about the vertical axis passing to the pivot point of the pendulum. He’s homotopy perturbation method is used to obtain the analytic solution of the governing nonlinear differential equation of motion. The fourth-order Runge-Kutta method (RKM) and He’s frequency formulation are used to verify the high accuracy of the obtained solution. The stability condition of the motion is examined and discussed. Some plots of the time histories of the gained solutions are portrayed graphically to reveal the impact of the distinct parameters on the dynamical motion.

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