同时受弱线性和非线性阻尼力作用的谐振振子幅值衰减
经典物理
2025-05-15 v2
摘要
我们推导了在同时作用于谐振振子三种不同阻尼力的情况下的幅值衰减近似表达式：势力恒定、线性阻尼力和二次阻尼力。我们的推导基于对无阻尼谐振振子基本理解，以及能量耗散率与总阻尼力功率之间的联系。通过将我们的近似解析解与相应的数值解进行比较，我们发现这些解在阻尼常数在实验相关范围内的弱阻尼组合下，能够良好地描述振子动力学。我们所采用的方法和数学技术适合于本科生物理教学。
引用
@article{arxiv.2502.07458,
title = {The amplitude decay of a harmonic oscillator damped simultaneously by weak linear and nonlinear damping forces},
author = {Karlo Lelas and Robert Pezer},
journal= {arXiv preprint arXiv:2502.07458},
year = {2025}
}
备注
The main change compared to the previous version is the addition of the Section 5 where we comment on limitations of the presented approach. The paper has been accepted for publication in the European Journal of Physics