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A meshfree-based local Galerkin method with condensation of degree of freedom for elastic dynamic analysis

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Abstract

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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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, 410082, Changsha, China

    De-An Hu, Yi-Gang Wang, Yang-Yang Li & Xu Han

  2. School of Chemistry, Physics and Mechanical Engineering, Queensland University of Technology, GPO Box 2434, Brisbane, QLD 4001, Australia

    De-An Hu & Yuan-Tong Gu

Authors
  1. De-An Hu
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  2. Yi-Gang Wang
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  3. Yang-Yang Li
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  4. Xu Han
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  5. Yuan-Tong Gu
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Corresponding author

Correspondence to Xu Han.

Additional information

The project was supported by the National Natural Science Foundation of China (11272118) and Open Found of State Key Laboratory of Explosion Science and Technology (KFJJ12-5M).

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Hu, DA., Wang, YG., Li, YY. et al. A meshfree-based local Galerkin method with condensation of degree of freedom for elastic dynamic analysis. Acta Mech Sin 30, 92–99 (2014). https://doi.org/10.1007/s10409-013-0090-6

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  • DOI: https://doi.org/10.1007/s10409-013-0090-6

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