Stability of Discrete Systems

作者: H. R. Milner

DOI: 10.1007/978-3-7091-2912-8_2

关键词: Mathematical analysisMathematicsCritical loadPotential energyFinite element methodBounding overwatchStability (probability)Structural stabilityVirtual displacementDiscrete system

摘要: This paper describes the general features of structural stability problems and pays particular attention to eigen-analysis. Both non-linear eigen solutions are presented linear which arise out minimum total potential energy formulations such as with finite element method. By examination properties Rayleigh Quotients various summation bounding theorems can be derived from these towards end paper.

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