Mechanical analysis of fibers with a hypotrochoidal cross section by means of conformal mapping function

被引:0
|
作者
Kyungwoo Lee
机构
[1] Dong-A University,Department of Textile Industry
来源
Fibers and Polymers | 2010年 / 11卷
关键词
Torsional constant; Cross section; Hypotrochoid; Complex variable technique; Conformal mapping function; Method of successive approximation;
D O I
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中图分类号
学科分类号
摘要
Closed form formula of torsional constant for fibers whose cross section is a hypotrochoid was obtained. Complex variable techniques were used to determine the torsion property and a conformal mapping function of power series form was derived by using the method of successive approximation. Closed form formulas for bending moment of inertia were also obtained. The formulas derived here for torsional and bending behavior should have wide application in the optimal design of fiber cross section.
引用
收藏
页码:638 / 641
页数:3
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