A meshfree-based local Galerkin method with condensation of degree of freedom for elastic dynamic analysis
Hu, De-An, Wang, Yi-Gang, Li, Yang-Yang, Han, Xu, & Gu, Yuan-Tong (2014) A meshfree-based local Galerkin method with condensation of degree of freedom for elastic dynamic analysis. Acta Mechanica Sinica, 30(1), pp. 92-99.
Condensation technique of degree of freedom is first proposed to improve the computational efficiency of meshfree method with Galerkin weak form for elastic dynamic analysis. In the present method, scattered nodes without connectivity are divided into several subsets by cells with arbitrary shape. Local discrete equation is established over each cell by using moving Kriging interpolation, in which the nodes that located in the cell are used for approximation. Then local discrete equations can be simplified by condensation of degree of freedom, which transfers equations of inner nodes to equations of boundary nodes based on cells. The global dynamic system equations are obtained by assembling all local discrete equations and are solved by using the standard implicit Newmark’s time integration scheme. In the scheme of present method, the calculation of each cell is carried out by meshfree method, and local search is implemented in interpolation. Numerical examples show that the present method has high computational efficiency and good accuracy in solving elastic dynamic problems.
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|Item Type:||Journal Article|
|Keywords:||Meshfree method, Local Galerkin method, Computational Mechanics|
|Subjects:||Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)|
|Divisions:||Current > Schools > School of Chemistry, Physics & Mechanical Engineering
Current > QUT Faculties and Divisions > Science & Engineering Faculty
|Deposited On:||06 May 2014 22:22|
|Last Modified:||08 May 2014 06:53|
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