Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606272 | Differential Geometry and its Applications | 2011 | 18 Pages |
Abstract
We discuss two generalizations of the inverse problem of the calculus of variations, one in which a given mechanical system can be brought into the form of Lagrangian equations with non-conservative forces of a generalized Rayleigh dissipation type, the other leading to Lagrangian equations with so-called gyroscopic forces. Our approach focusses primarily on obtaining coordinate-free conditions for the existence of a suitable non-singular multiplier matrix, which will lead to an equivalent representation of a given system of second-order equations as one of these Lagrangian systems with non-conservative forces.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
T. Mestdag, W. Sarlet, M. Crampin,