On Dynamic Behavior of “Self-Stressed” Block Media. Part I. One-Dimensional Mechanico-Mathematical Model

作者: M. V. Kurlenya , V. N. Oparin , E. G. Balmashnova , V. I. Vostrikov

DOI: 10.1023/A:1016792400026

关键词: Block (data storage)CalculusTension (physics)Compression (functional analysis)Nonlinear systemMathematicsStiffnessMathematical analysisSet (abstract data type)Linear equationStatement (computer science)

摘要: A mechanico-mathematical statement of the problem on dynamic behavior "self-stressed" block geomedia within a one-dimensional model is given. The structural elements this are considered to be absolutely solid bodies same dimensions, and displacements between them modeled by means tension compression springs, stiffness which depends their elongation along gravitational force vector. An analytical solution obtained for linear case, its properties examined. As nonlinear statement, method proposed reducing set equations.

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M. V. Kurlenya, V. N. Oparin, Problems of nonlinear geomechanics. Part 1 Journal of Mining Science. ,vol. 35, pp. 216- 230 ,(1999) , 10.1007/BF02550237