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Finite-difference Method for Thin Plate Bending
XIE Wenhao, QU Xiaogang
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 2009, 26 (
1
): 135-140.
Abstract
(
294
)
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(221KB)(
755
)
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According to the principle of minimum potential energy, finite difference schemes for small deflection bending of thin elastic plates with edge beams are obtained with FDM based on the principle of variation.The schemes depend only on mesh points in plates .They avoid problems with fictitious mesh points.Difference equations are programed with MATLAB and numerical simulations are shown.
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THE FINITE DIFFERENCE METHOD OF THE BENDING PROBLEM OF PLATES THEIR EDGES THRENGTHENED BY BEAMS
Qu Xiaogang
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1997, 14 (
S1
): 558-560.
Abstract
(
243
)
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(131KB)(
751
)
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Starting from the principle of minimum potential energy, a difference scheme is constituted for solving the bending problem of plates with their edges threngthened by beams,numerical results are presented, and the law of interaction between the plates and the boundary beams is investigated qantitatively.
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THE FINITE DIFFERENCE METHOD OF THE BENDING PROBLEM OF SMALL DEFLECTION OF THIN ELASTIC PLATES OF NON-HOMOGENITY AND VARIABLE THICKNESS ON NON-HOMOGENEOUS ELASTIC FOUNDATIONS
Qu Xiaogang, Pan Dingkun, Feng Shoudai
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1992, 9 (
3
): 303-312.
Abstract
(
245
)
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(507KB)(
647
)
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Starting from the principle of the minimum potential energy, the governing differential equation and the boundary constraint conditions for the bending problem are differenced unitedly and the difference schemes which depend only on the mesh points in plate area are obtained. A method to solve the difference equations by means of combining the direct manner with Gauss-Seidel iteration method is proposed. And a numerical example is given in the paper.
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