Fluctuations of sandwich beam on an Pasternak's foundation
UDC
539.3DOI:
https://doi.org/10.31429/vestnik-15-3-32-38Abstract
The free and forced vibrations of elastic three-layer beam on an elastic foundation under the dynamic action of the loads are considered. Reaction of foundation was described on the foundation of Pasternak’s model. To describe the kinematics of a package asymmetric in thickness, the hypotheses of a broken line are accepted: the Bernoulli hypotheses are valid in thin bearing layers; in a compressible in the thickness of the filler, Tymoshenko's hypothesis is fulfilled. The work of the filler in the tangential direction is taken into account. In a rigid compressible filler, the exact relations of the theory of elasticity with a linear approximation of the displacements of its points from the transverse coordinate are valid.Conditions for the continuity of displacements are used on the boundaries of the layers. Deformations are small. Analytical deciding a problem are received and their numeric analysis are conducted.
Keywords:
vibrations, foundation of Pasternak, three-layered bar, eigenfrequencyFunding information
Работа выполнена при поддержке Белорусского республиканского фонда фундаментальных исследований (Т18Р-090).
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Dates
Submitted
June 18, 2018
Accepted
July 14, 2018
Published
September 29, 2018
How to Cite
[1]
Leonenko, D.V., Fluctuations of sandwich beam on an Pasternak’s foundation. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2018, т. 15, № 3, pp. 32–38. DOI: 10.31429/vestnik-15-3-32-38
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Copyright (c) 2018 Леоненко Д.В.
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