## 留言板

 引用本文: 黄黔. 用数值积分的初参数法解波纹管[J]. 应用数学和力学, 1982, 3(1): 101-112.
Hwang Chien. Calculation of Stresses and Deformations of Bellows by Initial parameter Method of Numerical Integration[J]. Applied Mathematics and Mechanics, 1982, 3(1): 101-112.
 Citation: Hwang Chien. Calculation of Stresses and Deformations of Bellows by Initial parameter Method of Numerical Integration[J]. Applied Mathematics and Mechanics, 1982, 3(1): 101-112.

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

• 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.
•  [1] 钱伟长、郑思梁,轴对称圆环壳的复变量方程和轴对称细环壳的一般解,清华大学学报,19(1979).27-9 7. [2] 钱伟长,半圆弧波纹管的计算-一细环壳理论的应用,清华大学学报,19(1979).84-99. [3] 钱伟长、郑思梁,轴对称圆环壳的一般解,应用数学和力学,1,3(1980) [4] 钱伟长、郑思梁,半圆弧波纹管的计算-一环壳一般解的应用,应用数学和力学,2,1(1981). [5] 谢志成、付承诵、郑思梁,有曲率突变的轴对称壳(波纹壳)的有限元解.应用数学和力学,2,1(1981). [6] 陈山林,S型波纹管的轴对称应力和位移,(未发表). [7] Turner.C.E.and Ford,H.,Stress and deflection of pipeline expansion bellows.P.T.I.M.E.,171,(1957),526-552. [8] Новожнлов В.В.,Теория Тонких оболочек,(1951 ),(V.V.Novozelov,Theorg of thin shell.in Russian). [9] 南京大学数学系计算数学专业编,《常微分方程的数值解法》(1979). [10] Gill.S.,A process for step-by-step integration of differential equations in automatic digital computing machine.Proc.Cambridge Phil.Soc.,47.(1951),96-108. [11] 南京大学数学系计算数学专业编,《数值逼近方法》(1978). [12] Clark.R.A.,On the theory of thin elastic toroidal shells.J.of Math.and Phys.,29,(1950),146-178. [13] Osipova.L.N.and Tumakin.S.A.,Tables for the Computation of Toroidal Shells.(in Russian),Moscow(1963). [14] Turner.C.E.,Study of the symmetrical elastic loading of some shells of revolution.With special reference to toroidal elements.J.of Mech.Engg.Sci.1,(1959).113-129. [15] Turner,C.E.,stress and deflection studies of flat-plate and toroidal expansion bellows,subJected to axial.eccentric or internal pressure loading.J.Mech.Engng.Sci.,1,(1959),130-143. [16] Hamada.M.and Takezoho.S.,Strength of U-shaped bellows(lst Report.Case of Axial Loading),Bull.JSME.8.32.(1965),525-531. [17] Hamada,M.and Takezoho,S.,Strength of U-shaped bellows,(3rd Report,Case of Load of Internal Pressure),Bull.JSME.9,35,(1966),513-523. [18] Андреена,Л.Е.,Беседа,А.И.и Силъфоны,ДР.,Расчет и Проектирование,М.Машиностроение,(1975). [19] Reissner,E.,On the theorg of thin elastic shells,Reissner Anniversarg Volume,Contributions to Applied Mechanics,Ann Arbor,Edwards(1949),231-247.

##### 计量
• 文章访问数:  1869
• HTML全文浏览量:  54
• PDF下载量:  619
• 被引次数: 0
##### 出版历程
• 收稿日期:  1981-06-30
• 刊出日期:  1982-02-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈