包含—受扭迴转轴的半空间的性质<sup>*</sup>

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包含—受扭迴转轴的半空间的性质^*

基金项目: * 国家自然科学基金

Department of Mathematics and Mechanics, South China Institute of Technology, Guangzhou

摘要: 本文研究包含有一根部份嵌入的迴转轴的半空间的性质.不用知道一给定的嵌入的轴的扭转问题的精确解,这些性质能指出此半空间的位移或应力场的某些特点并且有时可以用来检查数值解.文中给出嵌入半空间的受扭的刚性圆柱的轴的表面上的正确的应力分布的检查的例子.

Abstract: The properties of an elastic half space including a partly embedded twisting shaft of revolution are studied. Without knowing the exact solution of the torsion problem of a given embedded shaft, these properties can indicate some features of the displacement or stress field of the half space and can sometimes be used for checking a numerical solution. An example for checking the correct stress distribution on surfaces of twisted rigid cylindrical shaft embedded in a half space is given.

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[4]	云天铨.嵌在弹性半空间的刚性变直径圆轴的扭转,应用数学和力学,9,5(1988).