Applications of the Hamilton-Ostrogradskii principle in the vibration theory of dissipative systems
Abstract
A method is proposed of applying Hamilton's principle of least action to the derivation of vibration equations and solutions of vibration problems with allowance for energy dissipation in the material. The potentialities of the method in the solution of problems for vibrations other than quasi-harmonic ones are demonstrated.
- Publication:
-
Problemy Prochnosti
- Pub Date:
- January 1980
- Bibcode:
- 1980PrPro.......95D
- Keywords:
-
- Energy Dissipation;
- Hamiltonian Functions;
- Oscillations;
- Variational Principles;
- Approximation;
- Physics (General)