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An equivalent boundary integral formulation for bending problems of thin plates

โœ Scribed by Wen-Jun He

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
130 KB
Volume
74
Category
Article
ISSN
0045-7949

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โœฆ Synopsis

For the bending problems of simply supported thin plates, the governing bi-harmonic equation can be decomposed into two independent Poisson equations based upon Kirchho theory. The conventional boundary integral formulations based on this decomposition technique have been proved to yield non-equivalent solutions compared with the boundary value problem. In this paper, a boundary integral formulation called an equivalent boundary integral equation has been deduced from Poisson equations, and it is also numerically shown that the problem of solution non-equivalence of the conventional boundary integral equation does not exist in the equivalent boundary integral equation.

๐Ÿ“œ SIMILAR VOLUMES

Evaluation of boundary integrals for pla
Evaluation of boundary integrals for plate bending
โœ Ahmed Abdel-Akher; Gilbert A. Hartley ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 725 KB

The alternative to quadrature, as a procedure for dealing with the integrations required in the direct boundary element method (DBEM), is to carry out the integration analytically and code the results directly. The potential benefits are efficicnt computer programs; the avoidance of numerical instab