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
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. G. Gorshkov, É. I. Starovoitov, and A. V. Yarovaya, “Harmonic vibrations of a viscoelastoplastic sandwich cylindrical shell,” Int. Appl. Mech., 37, No. 9, 1196–1203 (2001).
A. G. Gorshkov, É. I. Starovoitov, and A. V. Yarovaya, Mechanics of Laminated Viscoelastoplastic Members [in Russian], Fizmatlit, Moscow (2005).
V. D. Kubenko (ed.), Dynamics of Structural Members, Vol. 9 of the 12-volume series Mechanics of Composite Materials [in Russian], A.S.K., Kiev (1999).
P. Z. Lugovoi, “Dynamics of thin-walled structures under nonstationary loads,” Int. Appl. Mech., 37, No. 5, 602–627 (2001).
É. I. Starovoitov, D. V. Leonenko, and A. V. Yarovaya, “Circular sandwich plates under local impulsive loads,” Int. Appl. Mech., 39, No. 8, 945–952 (2003).
É. I. Starovoitov, D. V. Leonenko, and A. V. Yarovaya, “Vibrations of circular sandwich plates under resonance loads,” Int. Appl. Mech., 39, No. 12, 1458–1463 (2003).
E. I. Starovoitov, A. V. Yarovaya, and D. V. Leonenko, Local and Impulsive Loads on Sandwich Members [in Russian], BelGUT, Gomel (2003).
G. L. Goronin and Yu. V. Nemirovskii, “Transverse vibrations of laminated beams in three-dimensional formulation,” Int. Appl. Mech., 41, No. 6, 631–645 (2005).
V. D. Kubenko and P. S. Koval’chuk, “Influence of initial geometric imperfections on the vibrations and dynamic stability of elastic shells,” Int. Appl. Mech., 40, No. 8, 847–877 (2004).
V. V. Levchenko, “Love waves in a layer on a regularly laminated half-space,” Int. Appl. Mech., 40, No. 9, 1050–1055 (2004).
É. I. Starovoitov, D. V. Leonenko, and A. V. Yarovaya, “Vibrations of a sandwich rod under local and impulsive forces,” Int. Appl. Mech., 41, No. 7, 809–816 (2005).
Author information
Authors and Affiliations
Additional information
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 57–63, May 2006.
Rights and permissions
About this article
Cite this article
Kubenko, V.D., Pleskachevskii, Y.M., Starovoitov, É.I. et al. Natural vibration of a sandwich beam on an elastic foundation. Int Appl Mech 42, 541–547 (2006). https://doi.org/10.1007/s10778-006-0118-8
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10778-006-0118-8