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

Liu Zhu-bai; Qi Zue-yu

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(5): 419-424

Liu Zhu-bai, Qi Zue-yu. A Solution of Cosine Pressures on a Hollow Cylinder and the Limit When k→0[J]. Applied Mathematics and Mechanics, 1993, 14(5): 419-424.

Citation:

Liu Zhu-bai, Qi Zue-yu. A Solution of Cosine Pressures on a Hollow Cylinder and the Limit When k→0[J]. Applied Mathematics and Mechanics, 1993, 14(5): 419-424.

Citation:

Liu Zhu-bai, Qi Zue-yu. A Solution of Cosine Pressures on a Hollow Cylinder and the Limit When k→0[J]. Applied Mathematics and Mechanics, 1993, 14(5): 419-424.

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

Liu Zhu-bai¹,
Qi Zue-yu²

1.
Northeast Heavy Machinery Institute Qiqihaer;
2.
Shanghai Heavy Machinery Plant, Shanghai

Received Date: 1990-09-21
Publish Date: 1993-05-15

Abstract

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

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References(3)

References

[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).