Abstract
The problem of torsional oscillations of a stamp that is linked with an elastic stratum which contains a cylindrical cavity is considered. The problem is formulated in the form of conjugate integral equations that are related to the integral Weber transforms. The conjugate equations are reduced to an equivalent Fredholm equation of the second kind.
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I. I. Vorovich and V. A. Babeshko, Dynamical Mixed Problems of Elasticity Theory for Nonclassical Domains [in Russian], Nauka, Moscow (1979).
P. Ya. Malits, “On the decomposition of an arbitrary function into an integral with respect to cylindrical functions and its application to elasticity theory,” Stability and Strength of Elements of Constructions, Dnepropetrovsk University, Dnepropetrovsk (1973), pp. 93–99.
R. Mitra and S. Li, Analytic Methods of Waveguide Theory [in Russian], Mir, Moscow (1974).
E. Ch. Titchmarsh, Eigenfunction Expansions Associated with Second-Order Differential Equations, Claredon Press, Vol. 1–2, Oxford (1962).
W. D. Collins, “The forced torsional oscillations of an elastic half-space and an elastic stratum,” Proc. Lond. Math. Soc.,12, No. 46, 226–244 (1962).
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Translated from Dinamicheskie Sistemy, No. 9, pp. 54–59, 1990.
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Malits, P.Y., Snitser, A.R. Torsional oscillations of a circular stamp on an elastic layer with a cylindrical cavity. J Math Sci 70, 1991–1995 (1994). https://doi.org/10.1007/BF02110826
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DOI: https://doi.org/10.1007/BF02110826