Functions and mappings

Rayleigh dissipation function

In physics, the Rayleigh dissipation function, named after Lord Rayleigh, is a function used to handle the effects of velocity-proportional frictional forces in Lagrangian mechanics. If the frictional force on a particle with velocity can be written as , the Rayleigh dissipation function can be defined for a system of particles as The force of friction is negative the velocity gradient of the dissipation function, . The function is half the rate at which energy is being dissipated by the system through friction. As friction is not conservative, it is included in the Qj term of Lagrange's equations. (Wikipedia).

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Related pages

Lagrangian mechanics