Abstract
A method is developed for studying the dynamic deformation of structurally inhomogeneous beams consisting of homogeneous isotropic layers with different mechanical characteristics. The method is based on the virtual-displacement principle. The equation of motion is derived in vector and scalar forms for arbitrary loads, boundary conditions, and cross-sections with one and two axes of symmetry. The efficiency of the method is demonstrated by solving, as an example, the dynamic deformation problem for a hinged layered beam with a rectangular cross-section under harmonic loading. Mechanical effects are revealed, which describe the influence of the beam structure and the mechanical properties of beam components on the dynamic compliance in comparison with the relevant homogeneous beam with the same geometry
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 11, pp. 90–98, November 2007.
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Kayuk, Y.F., Shekera, M.K. On one dynamic problem for structurally inhomogeneous beams. Int Appl Mech 43, 1256–1263 (2007). https://doi.org/10.1007/s10778-007-0129-0
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DOI: https://doi.org/10.1007/s10778-007-0129-0