Natural vibration of a sandwich beam on an elastic foundation |
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| Authors: | V D Kubenko Yu M Pleskachevskii É I Starovoitov D V Leonenko |
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| Affiliation: | (1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev;(2) State Committee for Science and Technologies, Belarus State University of Transport, Gomel, Belarus |
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| Abstract: | The natural vibration of an elastic sandwich beam on an elastic foundation is studied. Bernoulli’s hypotheses are used to
describe the kinematics of the face layers. The core layer is assumed to be stiff and compressible. The foundation reaction
is described by Winkler’s model. The system of equilibrium equations is derived, and its exact solution for displacements
is found. Numerical results are presented for a sandwich beam on an elastic foundation of low, medium, or high stiffness
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 57–63, May 2006. |
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| Keywords: | free vibration elastic sandwich beam Winkler foundation exact solution numerical analysis |
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