圆环式伸缩接头以梁式模型的变形分析

About the beam model of the ring type expansion joints

对圆环式伸缩接头,建立固定端的静不定梁式模型,列出弹塑性变形下的典型方程;根据假设波纹管两端固结的边界条件和循环疲劳的工作环境及材料折线硬化的实际情况,利用计算机对典型方程进行逐次积分求得符合精度要求的逼近解。得出与简化为轴对称薄壳模型计算结果结果极为接近的结论,即无量纲关系u軈(ε軈)对薄壳的几何参数和壳两端固定的位移的比率几乎相差无几,而且理论计算结果与实验数据非常接近。

A statically indeterminate beam model of the fixed end was established to the ring type expansion joints and the typical equation under elastic deflection or plastic deformation was also listed. According to the assumed boundary conditions of the bellows both ends ,the working environment of cyclic fatigue and the actual situations of the materials of its broken line hardening,approximating solution could be obtained by successive integral solution to the mentioned typical equation in line with requirement of the accuracy through the computer. The conclusion was closed to the result of the axis symmetrical shell model. That was non-dimensional relationship u（ ε ） was almost the same to the geometric parameters of the shell and the ratio of fixed displacement of its both ends and the theoretical calculation results were very closed to the experimental data.