Open Access

ARTICLE

Analysis of Circular Torsion Bar with Circular Holes Using Null-field Approach

Jeng-Tzong Chen¹, Wen-Cheng Shen², Po-Yuan Chen²

1 Distinguished Professor, Department of Harbor and River Engineering, National Taiwan Ocean University, Keeling, Taiwan. Email: jtchen@mail.ntou.edu.tw
2 Graduate student, Department of Harbor and River Engineering, National Taiwan Ocean University, Keeling, Taiwan.

Computer Modeling in Engineering & Sciences 2006, 12(2), 109-119. https://doi.org/10.3970/cmes.2006.012.109

Abstract

In this paper, we derive the null-field integral equation for a circular bar weakened by circular cavities with arbitrary radii and positions under torque. To fully capture the circular geometries, separate forms of fundamental solution in the polar coordinate and Fourier series for boundary densities are adopted. The solution is formulated in a manner of a semi-analytical form since error purely attributes to the truncation of Fourier series. Torsion problems are revisited to demonstrate the validity of our method. Torsional rigidities for different number of holes are also discussed.

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Keywords

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