Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (8): 773-783.

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A HYBRID/MIXED MODEL FINITE ELEMENT ANALYSIS FOR EIGENVALUE PROBLEM OF MODERATELY THICK PLATES

Qian Yuan-yao   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
  • Received:1985-06-30 Online:1987-08-18 Published:1987-08-18

Abstract: The buckling and free vibration problems of moderately thick plate are considered in this paper by using the hybrid/mixed finite element model. A modified Reissner principle which only requires C0 continuity is derived. No lockling phenomenon is observed. Linear interpolation is used for all independent unknown function. Finally a displacement generalized eigenvalue equation is obtained, in which the stiffness matrix is symmetric and positively definite. The calculated results show that the method proposed is simple, reliable and satisfactory.

Key words: inverse problem, fouling layer, pipe system, conjugate gradient method

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