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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24487

Title: A Semi-Analytical Approach for Stress Concentration of Cantilever Beams with Holes Under Bending
Authors: J.-T. Chen;P.-Y. Chen
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: Null-field integral equation;Degenerate kernel;Fourier series;Circular holes;Cantilever beam;Stress concentration
Date: 2007-09
Issue Date: 2011-10-20T08:12:29Z
Publisher: Journal of Mechanics
Abstract: abstract:In the paper, the degenerate kernels and Fourier series expansions are adopted in the null-field integral equation to solve bending problems of a circular beam with circular holes. The main gain of using degenerate kernels in integral equations is free of calculating the principal values for singular integrals. An adaptive observer system is addressed to fully employ the property of degenerate kernels for circular boundaries in the polar coordinate. After moving the null-field point to the boundary and matching the boundary conditions, a linear algebraic system is obtained without boundary discretization. The unknown coefficients in the algebraic system can be easily determined. The present method is treated as a “semi-analytical” solution since error only attributes to the truncation of Fourier series. Stress concentration is also our concern. Finally, several examples, including two holes and four holes, are given to demonstrate the validity of the proposed method. The results are compared with those of Naghdi and Bird and Steele. Also, the position where the maximum concentration factor occurs is examined. The present formulation can be extended to handle beam problems with arbitrary number and various positions of circular holes by using the developed general-purpose program.
Relation: 23(3), pp.211-221
URI: http://ntour.ntou.edu.tw/handle/987654321/24487
Appears in Collections:[河海工程學系] 期刊論文

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