Vol. 7, No. 4, 2012

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Buckling instabilities of elastically connected Timoshenko beams on an elastic layer subjected to axial forces

Vladimir Stojanović, Predrag Kozić and Goran Janevski

Vol. 7 (2012), No. 4, 363–374

We study the buckling instability of a system of three simply supported elastic Timoshenko beams, joined together by Winkler elastic layers, and each subjected to the same compressive axial load. The model of the Timoshenko beam includes the effects of axial loading, shear deformation, and rotary inertia. Explicit analytical expressions are derived for the critical buckling load of single, double, and triple-beam systems. It can be observed from these expressions that the critical buckling load depends on the Winkler elastic layer stiffness modulus K, and that the instability of the system increases with an increase in the numbers of beams and elastic layers. These results are of considerable practical interest and have wide application in engineering practice.

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Timoshenko beam, Winkler elastic layer, shear deformation, rotary inertia, boundary conditions
Received: 2 November 2011
Revised: 31 January 2012
Accepted: 2 February 2012
Published: 26 July 2012
Vladimir Stojanović
Department of Mechanical Engineering
University of Niš
Univerzitetski trg 2
18000 Niš
Predrag Kozić
Department of Mechanical Engineering
University of Niš
Univerzitetski trg 2
18000 Niš
Goran Janevski
Department of Mechanical Engineering
University of Niš
Univerzitetski trg 2
18000 Niš