Stability of Discrete Systems
This paper describes the general features of structural stability problems and pays particular attention to eigen-analysis. Both non-linear eigen solutions are presented and linear eigen solutions which arise out of minimum total potential energy formulations such as arise with the finite element method. By examination of the properties of Rayleigh Quotients various summation and bounding theorems can be derived from these linear eigen solutions and are presented towards the end of the paper.
KeywordsCritical Load Discrete System Total Potential Energy Load Path Virtual Displacement
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