秋千参数自激振动的数学模型与数值模拟
收稿日期: 2019-03-01
修回日期: 2019-07-03
网络出版日期: 2020-03-02
基金资助
国家自然科学基金项目(51575524)资助
The mathematic model and numerical simulation of swing with parametric self-excited oscillation
Received date: 2019-03-01
Revised date: 2019-07-03
Online published: 2020-03-02
杨百愚, 王翠香, 王斌科, 李春旺, 范 琦, 田昌会 . 秋千参数自激振动的数学模型与数值模拟[J]. 大学物理, 2020 , 39(01) : 53 -56 . DOI: 10.16854 / j.cnki.1000-0712.190080
The swing is regarded as a variable length simple pendulum. Based on the normalized Gauss function，the velocity of pendulum ball relative to pendulum rod is designed. On this basis，the nonlinear dynamic differential equation of swing is established，and the motion of swing is simulated numerically based on this mathematic model，the motion，work and energy transformation mechanism of swing are obtained.
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