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滑动摩擦力所做的功

Work Done by Sliding Friction

J. David Brown

arXiv 2608.11157首次发表:更新:

AI 中文总结

本研究通过含两个柔性微凸体的数值模型探究滑动摩擦力做功,区分功与赝功,分析受迫、自由滑动两类过程,明确摩擦力对物体内能及平动动能的影响。

AI 中文摘要

当两个相互接触的物体发生相对滑动时,摩擦力会做功。本研究采用一个由两个柔性微凸体(每个物体各对应一个)构成的简单数值模型来探究该过程,将摩擦力建模为可吸引或可排斥的保守电场力。在整个分析过程中,赝功的概念发挥着重要作用,功与赝功的差值等于内能的变化量。由于微凸体并非刚体,典型相互作用中所做的功大于赝功,进而导致内能增加,这正是真实物理系统中热能的来源。所讨论的过程分为两类:受迫滑动与自由滑动。受迫滑动中,外力使物体保持匀速运动;自由滑动中,物体运动方向上仅受摩擦力作用。对于自由滑动,摩擦力不仅会增加内能,还会使物体的平动动能减少或增加,平动动能的变化由摩擦力所做的赝功决定。

英文摘要

Friction does work when two objects in contact slide past one another. This process is studied using a simple numerical model consisting of two flexible asperites, one for each object. The force of friction is modeled as a conservative electric force that can be either attractive or repulsive. Because the asperites are flexible, not rigid, the conservative friction force generates thermal energy and can decrease or increase the objects' translational kinetic energies. The concept of pseudowork plays an important role throughout the analysis. The difference between work and pseudowork is equal to the change in internal energy. The numerical model is used to illuminate the reasons why work is typically greater than pseudowork. For a real physical system, this is the source of thermal energy. The processes discussed here fall into two categories: forced sliding and free sliding. With forced sliding, applied forces keep the objects moving with constant velocities. With free sliding, the only force on one of the objects (in the direction of motion) is friction.

CommentsVersion 1 was rushed out too quickly (my fault). Version 2 is significantly improved. 25 pages, 11 figures

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