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Some studies on dual reciprocity BEM for elastodynamic analysis

机译:弹动力分析中双互易边界元法研究

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The accuracy of the dual reciprocity boundary element method for two-dimensional elastodynamic interior problems is investigated. A general analytical method is described for the closed form determination of the displacement and traction tensor corresponding to radial basis functions and explicit expressions of these tensors are provided for a number of specific basis functions. For all these basis functions the accuracy of the dual reciprocity boundary element method is numerically assessed for three interior plane stress elastodynamic problems. The influence of internal points on the accuracy of the solution is also considered. Useful results concerning the suitability of the various basis functions for solving plane elastodynamic problems are obtained.
机译:研究了二维弹动力内部问题的双互易边界元方法的精度。描述了一种通用的解析方法,用于确定对应于径向基函数的位移和牵引张量的闭合形式,并为许多特定的基函数提供了这些张量的显式表达式。对于所有这些基函数,对三个内平面应力弹动力学问题的对偶互易边界元方法的精度进行了数值评估。还考虑了内部点对解决方案精度的影响。得到了关于各种基函数在求解平面弹性动力学问题的适用性的有用结果。

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