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Structural Engineering and Mechanics
  Volume 8, Number 4, October 1999, pages 343-360
DOI: http://dx.doi.org/10.12989/sem.1999.8.4.343
 


Fourier series expansion method for plated-structures
Deng JG, Cheng FP

 
Abstract
    This work applies a structural analysis method based on an analytical solution from the Fourier series which transforms a half-range cosine expansion into a static solution involving plated structures. Two sub-matrices of in-plane and plate-bending problems are also formulated and coupled with the prescribed boundary conditions for these variables, thereby providing a convenient basis for a numerical solution. In addition, the plate connection are introduced by describing the connection between common boundary continuity and equilibrium. Moreover, a simple computation scheme is proposed. Numerical results are then compared with finite element results, demonstrating the numerical scheme\'s versatility and accuracy.
 
Key Words
    Fourier series, half-range cosine expansion, in-plane stress, plate-bending stress, plated structures
 
Address
Deng JG, Natl Chiao Tung Univ, Dept Civil Engn, 1001 Ta Hseuh Rd, Hsinchu, Taiwan
Natl Chiao Tung Univ, Dept Civil Engn, Hsinchu, Taiwan
 

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