当前位置: X-MOL 学术ZAMM › 论文详情
Escape dynamics of a forced‐damped classical particle in an infinite‐range potential well
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 1.103 ) Pub Date : 2019-02-06 , DOI: 10.1002/zamm.201800298
D. Naiger; O. V. Gendelman

The paper is devoted to analysis of the escape of periodically forced and damped particle from one‐dimensional potential well. The particle is initially at rest, and the forcing is switched on at a certain time instance. The present work is an extension of previous results, obtained in Hamiltonian setting, for much more realistic case with viscous damping. Assuming primary 1:1 resonance, one can consider the problem in terms of averaged transient dynamics. It turns out that, similar to the undamped case, the escape process can be reliably described in terms of topology of special trajectories on the resonant manifold. A theoretical prediction to the minimal force required for the escape as function of the excitation frequency for various damping coefficients is provided. In the explored frequency range, numeric simulations are in complete qualitative and reasonable quantitative agreement with the theoretical predictions except for small frequencies under 0.3. These discrepancies are related to quasistatic asymptotic limit of the considered model.
更新日期:2020-04-18

 

全部期刊列表>>
材料学研究精选
Springer Nature Live 产业与创新线上学术论坛
胸腔和胸部成像专题
自然科研论文编辑服务
ACS ES&T Engineering
ACS ES&T Water
屿渡论文,编辑服务
杨超勇
周一歌
华东师范大学
段炼
清华大学
中科大
唐勇
跟Nature、Science文章学绘图
隐藏1h前已浏览文章
中洪博元
课题组网站
新版X-MOL期刊搜索和高级搜索功能介绍
ACS材料视界
x-mol收录
福州大学
南京大学
王杰
左智伟
电子显微学
何凤
洛杉矶分校
吴杰
赵延川
试剂库存
天合科研
down
wechat
bug