Potential energy of unchanged forces and its applications #br# in solving problem in theoretical mechanics

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  • 1. School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200070, China

Received date: 2025-03-11

  Revised date: 2025-04-23

  Online published: 2026-03-20

Abstract

A unchanged force is demonstrated as a potential force with its potential energy to solve problems in theoretical mechanics. In equilibrium problems, the potential energy can be used to establish the equilibrium conditions for a potential system subjected to unchanged forces and the stability is determined via the stationary value of the potential energy. The potential energy generalizes the conservative Lagrangian equation to a potential system with unchanged forces. For Lagrangian functions independt of the time or the generalized coordinates, the generalized energy conservation and generalized momentum conservation are obtained.

Cite this article

CHEN Liqun1, 2 . Potential energy of unchanged forces and its applications #br# in solving problem in theoretical mechanics[J]. College Physics, 2025 , 44(12) : 67 . DOI: 10.16854/j.cnki.1000-0712.250130

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