Premium
A Variational Principle for Non‐Conservative Dynamical Systems
Author(s) -
Vujanovic B.
Publication year - 1975
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19750550605
Subject(s) - variational principle , hamilton's principle , luke's variational principle , classical mechanics , nonlinear system , lagrangian , mathematics , variation (astronomy) , calculus of variations , mathematical analysis , physics , equations of motion , quantum mechanics , astrophysics
The purpose of the present paper is to establish a variational principle of Hamilton's type, for purely nonconservative mechanics according to 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.