A COMPARATIVE STUDY ON THE DISPERSION PROPERTIES OF HRK AND RK MESHFREE APPROXIMATIONS FOR KIRCHHOFF PLATE PROBLEM

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	A COMPARATIVE STUDY ON THE DISPERSION PROPERTIES OF HRK AND RK MESHFREE APPROXIMATIONS FOR KIRCHHOFF PLATE PROBLEM
	Wang, Dongdong ; Lin, Zhenting ; Wang DD(王东东)
刊名	http://dx.doi.org/10.1142/S0219876212400154
	2012-03
关键词	STABILIZED CONFORMING INTEGRATION KERNEL PARTICLE METHODS FREE-VIBRATION ANALYSES THIN PLATES ELEMENT METHOD FORMULATION
英文摘要	National Natural Science Foundation of China [10972188]; Fundamental Research Funds for the Central Universities of China [2010121073]; China Education Ministry [NCET-09-0678]; Dispersion analysis provides a rational way to examine the dynamic properties of numerical methods through comparing the numerical and continuum frequencies. In this paper a detailed comparative investigation is presented on the dispersion features of the Hermite reproducing kernel (HRK) and the conventional reproducing kernel (RK) meshfree methods for Kirchhoff plate problem with particular reference to the spatial discretizations. In the analysis the nodal variables of the semi-discretized meshfree Kirchhoff plate equations are assumed as harmonic wave functions to extract the numerical frequency. For the RK approximation, only the deflectional nodal variables are expressed by the harmonic wave functions, while unlike RK approximation, both deflectional and rotational nodal variables should be expressed by the harmonic wave functions for the HRK approximation. The dispersion analysis results uniformly evince that the HRK meshfree discretization has much smaller dispersion errors and performs superiorly compared to the conventional RK meshfree discretization for Kirchhoff plate problem.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/64838]
专题	建筑土木－已发表论文
推荐引用方式 GB/T 7714	Wang, Dongdong,Lin, Zhenting,Wang DD. A COMPARATIVE STUDY ON THE DISPERSION PROPERTIES OF HRK AND RK MESHFREE APPROXIMATIONS FOR KIRCHHOFF PLATE PROBLEM[J]. http://dx.doi.org/10.1142/S0219876212400154,2012.
APA	Wang, Dongdong,Lin, Zhenting,&王东东.(2012).A COMPARATIVE STUDY ON THE DISPERSION PROPERTIES OF HRK AND RK MESHFREE APPROXIMATIONS FOR KIRCHHOFF PLATE PROBLEM.http://dx.doi.org/10.1142/S0219876212400154.
MLA	Wang, Dongdong,et al."A COMPARATIVE STUDY ON THE DISPERSION PROPERTIES OF HRK AND RK MESHFREE APPROXIMATIONS FOR KIRCHHOFF PLATE PROBLEM".http://dx.doi.org/10.1142/S0219876212400154 (2012).