Summary
Fourier transform is used to obtain the analytical solution of a slab on a viscoelastic foundation subjected to impulse and harmonic ring loads. The solution is given as a convolution of the Green's function of the plate. Poles of the integrand are identified for different cases with respect to load frequency and foundation damping. Both impulse response function and frequency response function (FRF) are obtained. Theorem of residue is utilized to evaluate the FRF analytically. A closed-form solution in terms of Bessel and Hankel function is obtained, which enables one to construct algorithms for parameter identification of the inverse problem involved in pavement nondestructive test. The result is partly verified by comparing the static solution of a point load derived from this paper to a well-known result.
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Sun, L. Time-frequency analysis of thin slabs subjected to dynamic ring loads. Acta Mechanica 153, 217–229 (2002). https://doi.org/10.1007/BF01177453
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DOI: https://doi.org/10.1007/BF01177453