Geodesic
Influence of rotatory inertia and shear on the dynamic instability of beams subjected to random excitations
Theoretical and applied mechanics, Tome 19 (1993) no. 1, p. 107 .

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Using the direct Liapunov method, the almost certain asimptotic instability of the Tymoshenko beam is investigated in the work. The beam is compressed by a time-varying stochastic axial force. As a difference from the classical theory, the influence of the torsional inertia of the cross-section and shear deformation were taken into account. Functional von Liapunov was constructed here according to the Parks - Pritchard method and the obtained results represent a generalization in relation to the results obtained according to the classical beam theory. 
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     author = {Ratko Pavlovi\'c and Predrag Kozi\'c},
     title = {Influence of rotatory inertia and shear on the dynamic instability of beams subjected to random excitations},
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     year = {1993},
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     url = {http://geodesic.mathdoc.fr/item/TAM_1993_19_1_a9/}
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Ratko Pavlović; Predrag Kozić. Influence of rotatory inertia and shear on the dynamic instability of beams subjected to random excitations. Theoretical and applied mechanics, Tome 19 (1993) no. 1, p. 107 . http://geodesic.mathdoc.fr/item/TAM_1993_19_1_a9/