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A boundary element method in ealstodynamics for geometrically axisymmetric problems

机译:几何动力学对称问题的动力学动力学边界元方法

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摘要

A direct boundary element method (BEM) in elastodynamics is developed for geometrically asymmetric problems subjected to arbitrary eternal loads. Traction and displacement components are expressed in terms of Forier series. Unalike classical BEMs, the kernel functions in he resulting integral governing equations in the present method are expanded as implicit functions of the difference of he polar angles at two field points. The new BEM is therefore capable of solving a wider variety of elastodynamic problems. Two numerical examples in foundation engineering show that the present BEM is also accurate and computationally efficient.
机译:针对承受任意永恒载荷的几何非对称问题,开发了弹性力学的直接边界元方法(BEM)。牵引力和位移分量以Forier级数表示。与经典的边界元法不同,本方法中所得积分控制方程的核函数被扩展为两个场点处极角差的隐函数。因此,新的BEM能够解决各种各样的弹性动力学问题。基础工程中的两个数值示例表明,当前的BEM也是准确且计算效率高的。

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