圆筒受余弦分布压力之解及其k→0的极限

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A Solution of Cosine Pressures on a Hollow Cylinder and the Limit When k→0

摘要: 本文得到一个新的应力函数。用此解答了圆筒受余弦分布压力的问题,并为解决圆筒在轴向受任意分布荷载作用的空间轴对称问题打下了基础。根据求出的解答,取压力沿轴向不变化时的极限,就导出了厚壁圆筒的Lamè公式。
- 圆筒 /
- 余弦压力 /
- 分析解
Abstract: A new stress function is found in this paper and then the problems of cosine pressures on a hollow cylinder are solved with the new stress function, which provides the basis for the solution of the problems of space symmetrical deformation of a hollow cylinder. When the pressures do not vary in the axial direction, that is, when k→0 the lame formulae can be deduced.
- hollow cylinder /
- cosine pressure /
- analytic solution

[1]	Timoshenko,S.and J.N.Goodier,Theory of Elasticity, 3rd ed,McGraw-Hill Book Co.,New York (1970),39.
[2]	吴家龙,《弹性力学》(第1版)同济大学出版社,上海(1987), 332.
[3]	齐作玉,冷轧辊残余应力的研究,东北重型机械学院硕士学位论文(1988).