Revisiting the Coulomb-Damped Harmonic Oscillator

阻尼谐振子再探讨：Coulomb、Stokes和Newton阻尼情况下能量衰减的新方法

Damped harmonic oscillator revisited: a new approach to energy decay in the case of Coulomb, Stokes, and Newton damping

本文提出了一种新方法，用于描述Coulomb、Stokes和Newton阻尼机制下谐振子的能量衰减，通过直接分析框架和精确解推导，为物理教学提供理论支持。

Expressions for frictional and conservative force combinations within the dissipative Lagrange-Hamilton formalism

Dissipative Lagrangians and Hamiltonians having Coulomb, viscous and quadratic damping,together with gravitational and elastic terms are presented for a formalism that preserves the Hamiltonian as a constant of the motion. Their derivations are also shown. The resulting L's and H's may prove useful in exploring new types of damped quantum systems.

Research on rolling friction's dependence on ball bearings' radius

There are two alternative historical laws of rolling resistance formulated by French scientist Coulomb and Dupuit. It has been decided to verify experimentally again, which of these laws describes freely rolling ball bearings on a hard surface better. An inducement to carrying out the measurements was the idea of the constant thickness of roadbed, which is consistent with Dupuit's theory. Measurements have been done using the damped oscillations in the pendulum bearings. Results have shown better consistency with the Coulomb's theory with small, but measurable deviations. These deviations were…

求解具有弱至中等非线性阻尼的调和振子近似解析解的新方法：第一部分

New approach to approximate analytical solutions of a harmonic oscillator with weak to moderate nonlinear damping: Part I

本文提出了一种新方法，用于求解具有弱至中等非线性阻尼的调和振子的近似解析解，并验证了其在不同阻尼情况下的有效性。