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An interpolating element-free Galerkin scaled boundary method applied to structural dynamic analysis

机译:无插值Galerkin比例边界法在结构动力分析中的应用

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An efficient semi-analytical method, namely the interpolating element-free Galerkin scaled boundary method (IEFG-SBM) is developed for structural dynamic analysis in this paper, which is based on boundary scattered nodes with no need of element connectivity. Since the shape functions of the improved interpolating moving least-squares (IIMLS) method satisfy the delta function property, the essential boundary conditions, as a result, can be enforced accurately without any additional efforts. Based on the improved continued fraction, the dynamic properties of a bounded domain are expressed by the high order static stiffness and mass matrices. This continued fraction solution is computationally more robust and the transient response can be obtained directly in the time domain using standard procedures in structural dynamics. It is testified from the computational results that the present method for structural dynamic analysis is quite easy to be implemented with high accuracy. (C) 2019 Elsevier Inc. All rights reserved.
机译:本文提出了一种高效的半解析方法,即无边界插值Galerkin尺度边界方法(IEFG-SBM),用于结构动力分析,该方法基于边界离散节点,不需要元素连通性。由于改进的插值移动最小二乘(IIMLS)方法的形状函数满足delta函数属性,因此,无需任何额外努力就可以准确地执行基本边界条件。基于改进的连续分数,有界域的动态特性由高阶静态刚度和质量矩阵表示。这种连续分数解决方案在计算上更强大,并且可以使用结构动力学中的标准程序在时域中直接获得瞬态响应。从计算结果证明,本发明的结构动力分析方法相当容易以高精度实现。 (C)2019 Elsevier Inc.保留所有权利。

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