Abstract
The problem of the bending of a rectangular slab lying on an elastic Winkler bed with allowance for longitudinal forces applied in the median plane under an arbitrary loading is discussed. A method for solution of problems involving the design of structures on a deformed bed, which consists in the fact that the structure's equilibrium equation assigned to a finite region is extended over the entire region using generalized functions, is used. This makes it possible to use integral equations with simple kernels for its solution.
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References
B. G. Korenev and E. I. Chernigovskaya, Design of Slabs on Elastic Beds: Designer's Manual [in Russian], Gosstroiizdat, Moscow (1962).
V. I. Travush, “Tensile (cornpressive) bending of an isotropic semi-infinite slab on a common type of linearly deformable bed,” Stroit. Mekh. Raschet Sooruzh., No. 3, 22–28 (1970).
B. G. Korenev, Some Elastic-Theory and Heat-Conduction Problems Solved in Bessel Functions [in Russian], Fizmatgiz, Moscow (1960).
V. I. Travush, “A method of generalized solutions in problems of the bending of slabs on a linearly deformable bed,” Stroit. Mekh. Raschet. Sooruzh., No. 1, 24–28 (1982).
L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Gosstroiizdat, Moscow-Leningrad (1952).
Additional information
Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 3, pp. 10–13, May–June, 1996.
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Turganbaev, A.T. Bending of a rectangular plate supported on an elastic winkler bed with allowance for longitudinal forces. Soil Mech Found Eng 33, 94–98 (1996). https://doi.org/10.1007/BF02361018
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DOI: https://doi.org/10.1007/BF02361018