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Kirchhoff Plate Analysis by Using Hermite Reproducing Kernel Particle Method  

석병호 (한양대학교 기계기술연구소)
송태한 (대덕대학 컴퓨터응용계열 컴퓨터응용설계전공)
Publication Information
Transactions of the Korean Society of Machine Tool Engineers / v.12, no.5, 2003 , pp. 67-72 More about this Journal
Abstract
For the analysis of Kirchhoff plate bending problems, a new meshless method is implemented. For the satisfaction of the $C^1$ continuity condition in which the first derivative is treated an another primary variable, Hermite interpolation is enforced on standard reproducing kernel particle method. In order to impose essential boundary conditions on solving $C^1$ continuity problems, shape function modifications are adopted. Through numerical tests, the characteristics and accuracy of the HRKPM are investigated and compared with the finite element analysis. By this implementatioa it is shown that high accuracy is achieved by using HRKPM for solving Kirchhoff plate bending problems.
Keywords
Meshless Method; Reproducing Kernel Particle Method(RKPM); Hermite Interpolation; Hermite Reproducing Kernel Particle Method(HRKPM); $C^1$ Continuity; Kirchhoff Plate;
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Times Cited By KSCI : 1  (Citation Analysis)
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