• Title/Summary/Keyword: half-range cosine expansion

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Fourier series expansion method for plated-structures

  • Deng, Jiann-Gang;Cheng, Fu-Ping
    • Structural Engineering and Mechanics
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    • v.8 no.4
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    • pp.343-360
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    • 1999
  • 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.