有曲率突变的轴对称壳(波纹壳)的有限元解

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Finite Element Method of Axial Symmetrical Shell with Abrupt Change of Curvature (Corrugated Tubes)

摘要: 本文指出了在一般用直线单元的轴对称壳的有限元法中,由于忽视了曲率对斜度变形的影响,并不能用以处理曲率突变的轴对称壳问题.本文提出了考虑曲率影响的、以壳的斜度变形为连续参数的直线单元有限元法,并用以处理C型波纹壳的计算.和Turner-Ford的实验结果比较,以及和钱伟长教授的解析解比较,都证明这个理论是正确的.

Abstract: It is shown in this paper that due to the neglecting of curvature effect in the calculation of deformation of slope, the ordinary straight line finite elements are not suitable for the calculation of axile symmetrical shells with abrupt change of curvature.A new straight line finite element is proposed by considering the curvature effect on the deformation of slope, and regarding the deformation of slope as a continuously varied parameter. This new straight-line element is used for the calculation of semi-circular arc type corrugated tubes. The computed results are compared with Turner-Ford Experiments and also with computed results by analytical solution of slender ring theory given by Prof, Chien Wei-zang (1979).

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