Reconsideration of the mathematic model and numerical simulation of swing
with parametric self-excited oscillation

YANG Baiyu, WANG Cuixiang, WANG Binke, LI Chunwang, FAN Qi, TIAN Changhui

doi:10.16854 / j.cnki.1000 0712.200095

College Physics >

2020 , Vol. 39 >Issue 10: 60 - 63

DOI: https://doi.org/10.16854 / j.cnki.1000 0712.200095

Reconsideration of the mathematic model and numerical simulation of swing with parametric self-excited oscillation

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1. Department of Basic Sciences，Air Force Engineering University，Xi'an，Shaanxi，710051，China; 2. Engineering College，Xian International University，Xi'an，Shaanxi，710077，China

Received date: 2020-03-16

Revised date: 2020-05-20

Online published: 2020-10-21

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Abstract

The swing is regarded as a variable length simple pendulum. Based on Gauss function，the velocity

of pendulum ball relative to pendulum rod is designed. When the swing moves with a large angle，it can meet the

requirements of “squatting down on the highest point and standing up on the lowest point”，because its parameters

are independent of swing motion. On this basis，the dynamic differential equation of swing is established，and the

motion of swing is simulated numerically，the motion process，work and energy transformation mechanism of swing

are obtained.

Key words： swing; parametric self-excited oscillation; mathematic model; numerical simulation

Cite this article

YANG Baiyu, WANG Cuixiang, WANG Binke, LI Chunwang, FAN Qi, TIAN Changhui . Reconsideration of the mathematic model and numerical simulation of swing with parametric self-excited oscillation[J]. College Physics, 2020 , 39(10) : 60 -63 . DOI: 10.16854 / j.cnki.1000 0712.200095

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