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ARTICLE

Boundary Integral Computation of Elastic Water Resisting Key Strata under the Condition of Discontinuous Load

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Computer Modeling in Engineering & Sciences 2012, 83(6), 561-574. https://doi.org/10.3970/cmes.2012.083.561

Abstract

Water resisting key strata (WRKS) is one of the most important structures in green coal mining engineering, which has the functions of water-preserved mining and disaster prevention of water inrush, while elastic WRKS is treated as one of the problems for elastic plates in this paper. The existing literatures on elastic plates have largely restricted to different engineering but minority in coal mining engineering. Based on the mechanical models of clamped circular plate with sub-uniform load and simply supported by a concentrated force for elastic WRKS, using the boundary integral equations which is obtained by the natural boundary reduction, this paper obtains the WRKS's Airy stress functions of the clamped circular plate with sub-uniform load and simply supported by a concentrated force respectively, as well as the analytical and numerical solutions to each stress field functions. We also analyze the rules of different distributions for the two stress fields varying with radius by comparison. The results of numerical calculation show that, with the increasing of the radius, the stability of the WRKS is improved.

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