Escape dynamics of a forced-damped classical particle in an infinite-range potential well,ZAMM - Journal of Applied Mathematics and Mechanics

当前位置： X-MOL 学术 › ZAMM › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Escape dynamics of a forced-damped classical particle in an infinite-range potential well
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2019-02-06 , DOI: 10.1002/zamm.201800298
D. Naiger ₁ , O. V. Gendelman ₁

Affiliation

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.

中文翻译：

无限范围势阱中受迫阻尼经典粒子的逃逸动力学

本文致力于分析周期性受迫阻尼粒子从一维势阱中的逃逸。粒子最初处于静止状态，并在特定时间实例打开强制。目前的工作是先前在哈密顿设置中获得的结果的扩展，用于更现实的粘性阻尼情况。假设初级 1:1 共振，可以从平均瞬态动力学的角度考虑问题。事实证明，与无阻尼情况类似，可以根据谐振流形上特殊轨迹的拓扑结构可靠地描述逃逸过程。提供了逃逸所需的最小力的理论预测，作为各种阻尼系数的激励频率的函数。在探索的频率范围内，除了小于 0.3 的小频率外，数值模拟与理论预测完全定性和合理的定量一致。这些差异与所考虑模型的准静态渐近极限有关。

更新日期：2019-02-06

点击分享查看原文

点击收藏

阅读更多本刊最新论文