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Study with the Chebyshev series method of a strip on an elastic nonlinear Winkler-Pasternak-type foundation

机译:弹性非线性Winkler-Pasternak型地基上条带的Chebyshev级数法研究

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摘要

This paper describes the procedure and results of theoretical investigations into the beam-soil foundation interaction. Actual pressure versus soil settlement response is represented by a nonlinear Winkler-Pasternak relation. The resulting nonlinear governing differential equation is solved using Chebyshev polynomials. The iterative numerical procedure adopted to solve the resultant system of simultaneous equations is presented. The numerical results are plotted in the form of a chart and, for a range of values of non-dimensional parameters γ, Z and V, and load Q, they are compared with the available F.D.M. results and are found to be in good agreement.
机译:本文描述了对梁-土基础相互作用的理论研究的过程和结果。实际压力与土壤沉降响应的关系由非线性Winkler-Pasternak关系表示。使用Chebyshev多项式求解所得的非线性控制微分方程。提出了用来求解联立方程组的迭代数值程序。数值结果以图表形式绘制,并且针对一系列无量纲参数γ,Z和V以及载荷Q的值,将其与可用的F.D.M.进行比较。结果,并且发现吻合良好。

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