Simulation of oscillation of simple pendulum by symplectic algorithm

doi:10.7523/j.issn.2095-6134.2012.6.001

Abstract

Abstract:

Simple pendulum is a classical model in both physics and mathematics and its large-angle oscillation is a difficult problem in research. We use symplectic algorithm to solve this problem from the viewpoint of Hamiltonian system instead of Newtonian system. The second- and fourth-order symplectic schemes are constructed, and the solutions are stable and accurate in long time simulation. Furthermore, based on good properties of symplectic scheme, we give an approximate-extreme point method to estimate oscillation period.

Key words: symplectic, simulation, simple pendulum, large angle, Hamiltonian

CLC Number:

LIU Cheng-Bao, CHEN Yu-Fu. Simulation of oscillation of simple pendulum by symplectic algorithm[J]. , 2012, (6): 721-730.

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