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Stationary Dynamic Displacement Solutions for a Rectangular Load Applied within a 3D Viscoelastic Isotropic Full Space—Part Ⅱ:Implementation, Validation, and Numerical Results

机译:在3D粘弹性各向同性全空间内施加矩形载荷的平稳动位移解决方案-第二部分:实现,验证和数值结果

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摘要

In part I of the present article the formulation for a dynamic stationary semianalytical solution for a spatially constant load applied over a rectangular surface within a viscoelastic isotropic full-space has been presented. The solution is obtained within the frame of a double Fourier integral transform. These inverse integral transforms must be evaluated numerically. In the present paper, the technique to evaluate numerically the inverse double Fourier integrals is described. The procedure is validated, and a number of original displacement results for the stationary loading case are reported.
机译:在本文的第一部分中,提出了一种动态静态半解析解决方案的公式,该解决方案用于在粘弹性各向同性全空间内施加在矩形表面上的空间恒定载荷。该解决方案是在双重傅立叶积分变换的框架内获得的。这些逆积分变换必须进行数值评估。在本文中,描述了对逆双傅立叶积分进行数值计算的技术。验证了该程序,并报告了固定载荷情况下的许多原始位移结果。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第2期|p.553-568|共16页
  • 作者单位

    Department of Computational Mechanics (DMC), School of Mechanical Engineering (FEM),University of Campinas (UN1CAMP), Rita Mendeleyev 200, Cidade Universitiiria 'Zeferino Vaz',13083-860 Campinas, SP, Brazil;

    Department of Computational Mechanics (DMC), School of Mechanical Engineering (FEM),University of Campinas (UN1CAMP), Rita Mendeleyev 200, Cidade Universitiiria 'Zeferino Vaz',13083-860 Campinas, SP, Brazil;

    Department of Computational Mechanics (DMC), School of Mechanical Engineering (FEM),University of Campinas (UN1CAMP), Rita Mendeleyev 200, Cidade Universitiiria 'Zeferino Vaz',13083-860 Campinas, SP, Brazil;

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