Buckling of Glass Reinforced Plastic Rods of Variable Rigidity

Abstract:

The loss of vertical structures stability is always a very dangerous phenomenon. It is almost impossible to predict it, because it develops very quickly, avalanche-like. One solution to this problem is to increase the cross section of the compressible elements. However, this solution leads to a significant increase in weight and load on the underlying structures. It is necessary to be able to accurately determine the critical force of F_cr for various forms of compressible elements and schemes of fastening. The article presents the solution of the problem of fiberglass rods stability by the energy method in the form of Tymoshenko-Ritz, which is reduced to the problem of determining eigenvalues in the algebraic theory of matrices. In the MatLab software complex, the value of the critical load F_cr is obtained by numerical method with different stiffness and pinning schemes.

• Periodical: Materials Science Forum (Volume 931)
• Pages: 133-138
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.931.133
• Online since: September 2018
• Authors: Stepan V. Litvinov*, Serdar B. Yazyev, Iwan I. Rudchenko, Georgi S. Molotkov
• Keywords: Buckling, Critical Force, Energy, Generalized Secular Equation, Mass, Rod, Stability, Stiffness Function, Volume, Work

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