Development of a novel meshless Local Kriging (LoKriging) method for structural dynamic analysis

Article

Li, Hua, Wang, Q. X. and Lam, K. Y.. 2004. "Development of a novel meshless Local Kriging (LoKriging) method for structural dynamic analysis." Computer Methods in Applied Mechanics and Engineering. 193 (23-26), pp. 2599-2619. https://doi.org/10.1016/j.cma.2004.01.010
Article Title

Development of a novel meshless Local Kriging (LoKriging) method for structural dynamic analysis

ERA Journal ID4173
Article CategoryArticle
AuthorsLi, Hua (Author), Wang, Q. X. (Author) and Lam, K. Y. (Author)
Journal TitleComputer Methods in Applied Mechanics and Engineering
Journal Citation193 (23-26), pp. 2599-2619
Number of Pages21
Year2004
Place of PublicationNetherlands
ISSN0045-7825
Digital Object Identifier (DOI)https://doi.org/10.1016/j.cma.2004.01.010
Web Address (URL)https://www.sciencedirect.com/science/article/pii/S0045782504001276
Abstract

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.

KeywordsDynamic response; Free/forced vibration; Kriging interpolation; MEMS; Meshless method
ANZSRC Field of Research 2020490302. Numerical analysis
401706. Numerical modelling and mechanical characterisation
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Byline AffiliationsInstitute of High Performance Computing, Singapore
Institution of OriginUniversity of Southern Queensland
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