A refined theory of torsional deformation of a circular shaft
A refined theory of torsional deformation of a circular shaft
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DOI：
10.1007/s00707-008-0105-8
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发表时间：
2009-09
期刊：
影响因子：
2.7
通讯作者：
B. Zhao;Yang Gao;Xiu-E Wu
中科院分区：
文献类型：
--
作者：
B. Zhao;Yang Gao;Xiu-E Wu
在经典弹性理论的基础上，提出了圆轴扭转变形的精化理论。改进后的理论提供了圆轴扭转变形的解，而没有特别的假设。得到了齐次边界条件下圆轴问题的精确解，包括圣维南解部分和超越解部分，给出并证明了分解定理。通过去掉高阶项，导出了圆轴在反向表面载荷作用下的近似解。为了说明开发的理论的应用，两个例子进行了检查。
The refined theory of torsional deformation of a circular shaft is proposed on the basis of the classical elasticity theory. The refined theory provides the solutions of torsional deformation of a circular shaft without ad hoc assumptions. Exact solutions, including a Saint-Venant’s solution part and a transcendental part, are obtained for a circular shaft with homogeneous boundary conditions, and the decomposed theorem is given and proved. The approximate solutions are derived for a circular shaft under reverse direction surface loading by dropping terms of high order. To illustrate the application of the theory developed, two examples are examined.