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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Development of a novel meshless Local Kriging (LoKriging) method for structural dynamic analysis
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Development of a novel meshless Local Kriging (LoKriging) method for structural dynamic analysis

机译：新型无网格局部Kriging（LoKriging）方法用于结构动力分析的开发

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This paper presents a novel meshless approach to study the dynamic responses of structures. It is called Local Kriging (LoKriging) method, where the Kriging interpolation is employed to construct the field approximation function and meshless shape functions, and the local weak form of partial differential governing equations is derived by the weighted residual technique. Since the shape functions constructed by this interpolation possess the delta function property even for a set of randomly distributed points, the essential boundary condition can be easily imposed. In implementation of local weak form, the spline function with high continuity is used as the weight function. No mesh is required either for integration of the local weak form, or for construction of the shape functions. Thus the present LoKriging method is a truly meshless method. Several numerical examinations for the free/forced vibrational analysis of structures and the dynamic performance of microelectromechanical systems (MEMS) device are carried out to demonstrate the accuracy and efficiency of the LoKriging method. The numerical results show that the presently developed method is quite easy to implement, very accurate and highly efficient for the problems considered.
机译：本文提出了一种新颖的无网格方法来研究结构的动力响应。这就是所谓的局部克里格法（LoKriging），其中采用克里格插值法构造场逼近函数和无网格形状函数，并通过加权残差技术推导偏微分控制方程的局部弱形式。由于通过该插值构造的形状函数即使对于一组随机分布的点也具有增量函数特性，因此可以容易地施加基本边界条件。在实现局部弱形式时，将具有高连续性的样条函数用作权重函数。集成局部弱形式或构建形状函数不需要网格。因此，当前的LoKriging方法是一种真正的无网格方法。对结构的自由/强制振动分析和微机电系统（MEMS）装置的动态性能进行了几次数值检验，以证明LoKriging方法的准确性和效率。数值结果表明，当前开发的方法易于实现，对于所考虑的问题非常准确且高效。

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