Static and Stochastic Stability of an Elastically Connected Beam System on an Elastic Foundation
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Chapter 4 considers the static and stochastic stability of the elastically connected three beams on an elastic foundation. It is derived a new set of partial differential equations for static analysis of deflections and critical buckling force of the complex mechanical system and it is presented comparison study of the static stability between mechanical systems with one, two and three beams on an elastic foundation. It is analytically determined critical buckling force for each system individually. It is concluded that the system is the most stable in the case of the one beam on elastic foundation.
KeywordsLyapunov Exponent Elastic Foundation Timoshenko Beam Critical Force Stochastic Stability
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