Browsing by Author "Deng, JG"

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Fourier series expansion method for plated-structures
(1999-10-01)
Deng, JG
;
Cheng, FP
;
土木工程學系
;
Department of Civil Engineering
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.
Fourier series method for plane elastic problems of polygonal domain
(2001)
Deng, JG
;
Cheng, FP
;
土木工程學系
;
Department of Civil Engineering
This study employs the Fourier series method based on the edge function approach to solve the plane elastic problem of polygonal domain described by Navier equations. The analytical solutions serve as a set of fundamental solutions for each edge. Superposing the solution function and matching the prescribed boundary conditions in each edge allows the solving of the unknown variables and the analysis of the problem. An extra corner function and regularization technique is utilized to enhance convergence rate. Only one element is required to analyze which polygon domain is convex, however, by dividing a non-convex shape into several convex shapes, the proposed method can be extended to irregular geometrical shape. Numerical examples demonstrate the merits of the developed scheme, as well as its efficiency and accuracy. (C) 2001 Elsevier Science B.V. All rights reserved.