期刊
EUROPEAN JOURNAL OF PHYSICS
卷 36, 期 3, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/0143-0807/36/3/035014
关键词
friction; Lagrangian mechanics; covariance
资金
- GNFM of INDAM
It is shown that Rayleigh's dissipation function can be successfully applied in the solution of mechanical problems involving friction non-linear in the velocities. Through the study of surfaces at contact we arrive at a simple integral expression which gives directly the Rayleigh dissipation function in terms of generalized coordinates. In this way the solutions of Lagrangian problems with friction are reduced to often elementary calculations of the kinetic energy, the potential energy, and the Rayleigh dissipation function. Some examples of pedagogical interest are given.
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