Rayleigh had attempted to incorporate a limitations of Lagrangian mechanics but he unable to solve the system with presence of gyroscopic forces.......
For rotating machine, it is possible to linearize the kinetic energy term to obtain antisymmetric gyroscopic damping matrix.
Could you be a bit more precise about what you have in mind? It certainly sounds interesting, but I cannot quite make out what you want to know.
Hi
can you give us more informations on the system of equations you want solve. is it for ridid body systems ?
What is the physical problem you want to solve?
Pephaps the following article can give you more informations :
A Methodology for Finding Invariants of Motion for Asymmetric Systems with Gauge-Transformed Umbra Lagrangian Generated by Bond Graphs
by Amalendu Mukherjee
A Review on Extension of Lagrangian- Hamiltonian Mechanics
http://sim.sagepub.com/content/82/4/207.short
http://www.scielo.br/pdf/jbsmse/v33n1/04.pdf
hiii
i think Umbra Lagrangian is one of the novel approach to solve non holonomic constraints and velocity-dependent potentials in presence of gyroscopic coupling.
so I m grateful to Prof. Amelendu Mukherjee and Pro. Vikas Rastogi to generate this approach.
i also thankful to Pascal Galon to suggest me for this approach.
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