A variational principle for non-conservative dynamical systems
Abstract
The purpose of the present paper is to establish a variational principle of the Hamilton type, for purely nonconservative mechanics according to the central Lagrangian equation. The velocity of variation and the variation of velocity are not commutative as in conservative mechanics. The applications on the nonlinear heat transfer in solids are discussed in detail.
- Publication:
-
Zeitschrift Angewandte Mathematik und Mechanik
- Pub Date:
- June 1975
- DOI:
- 10.1002/zamm.19750550605
- Bibcode:
- 1975ZaMM...55..321V
- Keywords:
-
- Euler-Lagrange Equation;
- Hamiltonian Functions;
- Heat Transfer;
- Nonconservative Forces;
- Variational Principles;
- Boundary Value Problems;
- Degrees Of Freedom;
- Differential Equations;
- Dynamic Characteristics;
- Linear Systems;
- Viscosity;
- Physics (General)