2014/09/30 by E. Minguzzi · 63 citations
Engineering · Mathematics · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #Classical mechanics #Dissipation #Dynamics and Control of Mechanical Systems #Energy (signal processing) #Expression (computer science) #Function (biology) #Kinetic energy #Mathematical analysis #Mathematics #Mechanics #Mechanics and Biomechanics Studies #Physics #Quantum mechanics #Rayleigh scattering #Thermodynamics #Work (physics) #physics.class-ph
paper · pdf · doi:10.1088/0143-0807/36/3/035014
published in European Journal of Physics 36(3), 035014 (IOP Publishing) · 5 pages, Revtex4. v2: added two remarks and some references
arxiv created 2015/02/28 · openalex publication_date 2015/03/19 · arxiv updated 2015/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.