用数值积分的初参数法解波纹管

黄黔

用数值积分的初参数法解波纹管

黄黔

北京清华大学

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出版历程
- 收稿日期: 1981-06-30
- 刊出日期: 1982-02-15

Calculation of Stresses and Deformations of Bellows by Initial parameter Method of Numerical Integration

Hwang Chien

Qing Hua University, Beijing

摘要

摘要: 本文把波纹管的边值问题化为初值问题,根据B.B.Новожилов的环壳方程^[8].用S.Gill方法^[10],求出半圆弧波纹管的数值解.计算了在轴向力和内压作用下的变形和应力分布,其结果和钱伟长教授的一般解完全一致.本文提出的外推公式可以显著地提高离散化方法的计算精度.文后附有WANG 2200VS计算机上BASIC语言的源程序.

Abstract: By reducing the boundary value problem in stress analysis of bellows into initial value problem, this paper presents a numerical solution of stress distribution in semi-circular arc type bellows based upon the toroidal shell equation of V. V. Novozelov^[8]. Throughout the computation, S. Gill's method^[10] of extrapolation is used. The stresses and deformations of bellows under axial load and internal pressure are c-alculated, the results of which agree completely with those derived from the general solution of Prof. Chien Wei-zang^[1-4]. The extrapolation formula presented in this paper greatly promotes the accuracy of discrete calculation.The computer program in BASIC language of Wang 2200 VS computer is included in the appendix.

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参考文献(19)

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