›› 2010, Vol. 31 ›› Issue (5): 1675-1680.

• Numerical Analysis • Previous Articles    

Preliminary study of composite element method for dynamic analysis

QIANG Sheng 1, 2, ZHANG Yang3   

  1. 1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China; 2. College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China; 3. College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou Jiangsu, 225009, China
  • Received:2008-10-17 Online:2010-05-10 Published:2010-05-24

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Abstract:

Composite element method (CEM) is a numerical method suitable for discontinuous media structure. The main advantages of CEM are that the discontinuities can be ignored when creating grid, but the discontinuities can be explicitly simulated when calculating. Based on composite element model for static analysis, the composite element model for dynamic analysis is implemented. The formulas of mass matrix and damping matrix for dynamic analysis of CEM are presented. According to mass matrix, stiffness matrix and damping matrix, the inertial forces and the damping forces in composite element are converted to the generalized nodes. The control equations for dynamic system of CEM subjected to the inertia forces, the damping forces, the dynamic loads and the elastic forces are formulated. A seismic example of a concrete gravity dam on a rock base with two faults is computed by the CEM dynamic analysis program. The results meet well with the solution of finite element method (FEM). It shows the validity and effectiveness of the new method.

Key words: discontinuous structure, composite element method, dynamic analysis

CLC Number: 

  • TV 312
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