ON THE ENERGY CONCEPTS IN THE THEORY OF ELASTIC STABILITY.
Abstract
The problem of local stability of structural systems subjected to conservative and nonconservative external forces is examined. It is shown that, contrary to the usual assumption and in contrast to the case of conservative loading, if linearized analysis is used for local stability investigation of nonconservative systems, then the existence of simple harmonic vibrations of constant amplitudes does not necessarily imply stability. In this case, the local stability of the equilibrium can only be decided upon by a nonlinear analysis. Moreover, it is shown that, for such systems, the linearized analysis yields the true 'critical' force only if all the dissipative forces are included directly in the analysis. Finally, certain thermodynamic implications of these observations are pointed out. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1966
- Accession Number
- AD0643087
Entities
People
- J. Roorda
- S. Nemat-nasser
Organizations
- University of California, San Diego