Static and Stochastic Stability of an Elastically Connected Beam System on an Elastic Foundation

  • Vladimir StojanovićEmail author
  • Predrag Kozić
Part of the Springer Tracts in Mechanical Engineering book series (STME)


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.


Lyapunov Exponent Elastic Foundation Timoshenko Beam Critical Force Stochastic Stability 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Faculty of Mechanical Engineering University of NišNišSerbia

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