PROBLEMS OF U-SHAPED BELLOWS WITH NONLINEAR DEFORM TION OF LARGE AXISYMMETRICAL DEFLECTION(Ⅰ)—COUNTING NONLINEAR DEFORMATIONS OF RING SHELLS AND COMPRESSED ANGLE OF BELLOWS

This paper follows the work of [1,2]. There are some progress in dealing with moderately small rotations (the squares of rotation angles are the order of magnitude of strains) of middle surface normals of inside and outside ring shells and compressed angle of bellows. Calculation results agree with experiments well. To bellow design, the method given in this paper is of practical value and the discussion of the influence of compressed angle on characteristic relation is helpful.

U型波纹管大挠度变形的积分方程描述及其迭代算法

采用格林函数法，导出了U型波纹管圆环壳部分和截头扁锥壳部分的非线性积分方程，其中的四个未知参数由圆环壳和截头扁锥壳的连接条件确定。联合应用梯度法和积分方程迭代法建立了U型波纹管大挠度分析的迭代算法，开发了相应的程序系统。数值结果表明，本文方法具有较高的精度，压缩角对峰值应力和刚度影响十分显著，应作为波纹管设计的重要参数。