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PENG Yi-jiang, JIN Ming. FINITE ELEMENT METHOD FOR ARBITRARY MESHES BASED ON COMPLEMENTARY ENERGY PRINCIPLE USING BASE FORCES[J]. Engineering Mechanics, 2007, 24(10): 41-045,.
Citation: PENG Yi-jiang, JIN Ming. FINITE ELEMENT METHOD FOR ARBITRARY MESHES BASED ON COMPLEMENTARY ENERGY PRINCIPLE USING BASE FORCES[J]. Engineering Mechanics, 2007, 24(10): 41-045,.
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FINITE ELEMENT METHOD FOR ARBITRARY MESHES BASED ON COMPLEMENTARY ENERGY PRINCIPLE USING BASE FORCES

  • (1. Department of Structure Engineering, Beijing University of Technology, Beijing 100022, China; 2. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China)

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  • Received Date: December 31, 1899
  • Revised Date: December 31, 1899
    Graphical Abstract
    • Abstract
  • An explicit expression of element compliance matrix of the finite element method for arbitrary meshes is derived using the base forces. The governing equations expressed by the base forces are obtained using Lagrangian multiplier method, and the displacements formulation of nodes is given. A program of the finite element method is developed. The method is used to solve several problems of arbitrary polygonal meshes and aberrant meshes, and the numerical results are compared with those of the theoretical solutions and traditional finite element method solutions. The results show that the method proposed is efficient to employ the arbitrary meshes and is free from mesh aberrant.
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