Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures

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	Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures
	Wang, DD ; Lin, ZT ; Wang DD(王东东)
刊名	http://dx.doi.org/10.1007/s00466-011-0580-y
	2011-07
关键词	ELEMENT METHOD NODAL INTEGRATION PARTICLE METHODS SEMI-DISCRETIZATIONS VIBRATION ANALYSIS LARGE-DEFORMATION DYNAMIC FRACTURE MESHLESS METHODS SHELL STRUCTURES 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]; A dispersion analysis is carried out to study the dynamic behavior of the Hermite reproducing kernel (HRK) Galerkin meshfree formulation for thin beam and plate problems. The HRK approximation utilizes both the nodal deflectional and rotational variables to construct the meshfree approximation of the deflection field within the reproducing kernel framework. The discrete Galerkin formulation is fulfilled with the method of sub-domain stabilized conforming integration. In the dispersion analysis following the HRK Galerkin meshfree semi-discretization, both the deflectional and rotational nodal variables are expressed by harmonic functions and then substituted into the semi-discretized equation to yield the characteristic equation. Subsequently the numerical frequency and phase speed can be obtained. The transient analysis with full-discretization is performed by using the central difference time integration scheme. The results of dispersion analysis of thin beams and plates show that compared to the conventional Gauss integration-based meshfree formulation, the proposed method has more favorable dispersion performance. Thereafter the superior performance of the present method is also further demonstrated by several transient analysis examples.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/64810]
专题	建筑土木－已发表论文
推荐引用方式 GB/T 7714	Wang, DD,Lin, ZT,Wang DD. Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures[J]. http://dx.doi.org/10.1007/s00466-011-0580-y,2011.
APA	Wang, DD,Lin, ZT,&王东东.(2011).Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures.http://dx.doi.org/10.1007/s00466-011-0580-y.
MLA	Wang, DD,et al."Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures".http://dx.doi.org/10.1007/s00466-011-0580-y (2011).