Green Quasifunction Method for Bending Problem of Clamped Orthotropic Thin Plates with Trapezoidal Boundary Shape

Abstract:

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The Green quasifunction method(GQM) is employed to solve the bending problem of clamped orthotropic thin plates with trapezoidal boundary shape. Firstly the governing differential equation of the problem is reduced to the boundary value problem of the biharmonic operator, and then it is reduced to the Fredholm integral equation of the second kind by Green’s formula. A Green quasifunction is established by using the fundamental solution and the boundary equation of the problem. This function satisfies the homogeneous boundary condition of the problem. The irregularity of the kernel of the integral equation is overcome by choosing a suitable form of the normalized boundary equation. A numerical example demonstrates the feasibility and efficiency of the proposed method, and it is a novel mathematical method.

Info:

Periodical:

Edited by:

Huixuan Zhang, Ye Han, Fuxiao Chen and Jiuba Wen

Pages:

456-459

DOI:

10.4028/www.scientific.net/AMM.117-119.456

Citation:

S. Q. Li and H. Yuan, "Green Quasifunction Method for Bending Problem of Clamped Orthotropic Thin Plates with Trapezoidal Boundary Shape", Applied Mechanics and Materials, Vols. 117-119, pp. 456-459, 2012

Online since:

October 2011

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$35.00

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