| 瞬变弹性动力问题的一个边界元法 |
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| 引用本文： | 王靖涛
,肖春喜.瞬变弹性动力问题的一个边界元法[J].岩土力学,1986,7(1):47-51. |
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| 作者姓名： | 王靖涛 肖春喜 |
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| 摘 要： | 本文给出了瞬变弹性动力问题的一个边界元法。该法是利用威尔逊——θ法的差分公式,把运动方程化为椭圆型微分方程。根据贝蒂定理和动力点荷载的特解,可获得动力问题的边界积分方程。这个解法是在真实时间域内逐步求解的,不需要使用拉氏变换。一个应力波传播的数值算例证实了该方法使用方便,且解答精度较高。
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| 关 键 词： | 动力问题 贝蒂定理 瞬变 应力波传播 拉氏变换 边界积分方程 椭圆型 边界元法 Rayleigh 剪切波 |
Elasto-dynamic Problem |
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| Wang Jingtao,Xiao Chunxi.Elasto-dynamic Problem[J].Rock and Soil Mechanics,1986,7(1):47-51. |
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| Authors: | Wang Jingtao Xiao Chunxi |
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| Abstract: | A boundary element method formulation in the real time domain in the transient elastodynamic problems is presented. The equation motion of the linear isotropic elastiic bodare transformed into the elliptic partial differential eqnations by means of the differential formulations of the Wilson-θ method. By utilizing the particular solution corresponding to a dynamic point force in an infinite medium and the Betti’s theorem the bundary integral equations may be obtain. As this approach formulates and solves the problem in real time domain in conjunction with a time-stepping algorithm, it does not require a nimerical inversion.Which transformes the results from the Laplace or Fourier ransformed domain to the time domain. A numerical example was shown in order to demonstrate the applicability of the present method to the practical problems. |
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