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首页> 外文期刊>Earthquake Engineering & Structural Dynamics >Transient analysis of wave propagation in non-homogeneous elastic unbounded domains by using the scaled boundary finite-element method
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Transient analysis of wave propagation in non-homogeneous elastic unbounded domains by using the scaled boundary finite-element method

机译：尺度边界有限元法在非均匀弹性无界域中波传播的瞬态分析

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The scaled boundary finite-element method has been developed for the dynamic analysis of unbounded domains. In this method only the boundary is discretized resulting in a reduction of the spatial dimension by one. Like the finite-element method no fundamental solution is required. This paper extends the scaled boundary finite-element method to simulate the transient response of non-homogeneous unbounded domains with the elasticity modulus and mass density varying as power functions of spatial coordinates. To reduce the number of degrees of freedom and the computational cost, the technique of reduced set of base functions is applied. The scaled boundary finite-element equation for an unbounded domain is reformulated in generalized coordinates. The resulting acceleration unit-impulse response matrix is obtained and assembled with the equation of motion of standard finite elements. Numerical examples of non-homogeneous isotropic and transversely isotropic unbounded domains demonstrate the accuracy of the scaled boundary finite-element method.
机译：缩放边界有限元方法已经被开发用于无界域的动态分析。在这种方法中，仅边界被离散化，导致空间尺寸减小了一个。像有限元方法一样，不需要基本解决方案。本文扩展了比例边界有限元方法，以模拟弹性模量和质量密度随空间坐标幂函数变化的非均匀无界域的瞬态响应。为了减少自由度的数量和计算成本，应用了减少基本函数集的技术。无界域的缩放边界有限元方程在广义坐标中重新制定。获得所得的加速度单位-脉冲响应矩阵，并将其与标准有限元的运动方程组合。非均匀各向同性和横向各向同性无界域的数值示例证明了标度边界有限元方法的准确性。

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