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	Meshless local natural neighbour interpolation method applied to structural dynamic analysis
	Liu, H. ; Chen, S.S. ; Li, J. ; Cen, Z.Z.
	2010-10-12 ; 2010-10-12
关键词	Practical Theoretical or Mathematical/ interpolation mesh generation partial differential equations structural engineering vibrations/ meshless local natural neighbour interpolation method structural dynamic analysis meshless spatial approximation meshless local Petrov-Galerkin method weighted residual method dynamic partial differential equation Delaunay triangles forced vibration analyses free vibration analysis/ E2110 Mechanical structures E0210L Numerical analysis E2180D Vibrations and shock waves (mechanical engineering)
中文摘要	A novel meshless method for structural dynamic analysis is presented and discussed in this paper. It is called meshless local natural neighbour interpolation (MLNNI) method, which uses a meshless spatial approximation based only on nodes. The MLNNI is derived from the generalized meshless local Petrov-Galerkin (MLPG) method as a special case. Local weak forms are developed using weighted residual method locally from the dynamic partial differential equation. In the construction of trial functions, the natural neighbour interpolation (NNI) is employed to simplify the treatment of the essential boundary conditions. The domain integration is evaluated over included Delaunay triangles in each polygonal subdomain. The validity and strength of the proposed method for free and forced vibration analyses are demonstrated throughout different numerical applications. It is proven from the results that the proposed method is quite easy to implement, very accurate and highly efficient for both free vibration analysis and forced vibration analysis.
语种	英语
出版者	Tech Science Press ; USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/79127]
专题	清华大学
推荐引用方式 GB/T 7714	Liu, H.,Chen, S.S.,Li, J.,et al. Meshless local natural neighbour interpolation method applied to structural dynamic analysis[J],2010, 2010.
APA	Liu, H.,Chen, S.S.,Li, J.,&Cen, Z.Z..(2010).Meshless local natural neighbour interpolation method applied to structural dynamic analysis..
MLA	Liu, H.,et al."Meshless local natural neighbour interpolation method applied to structural dynamic analysis".(2010).

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