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本文将用于简单管状接头应力分析的变分解法推广运用于结构形式较为复杂的 K 型和 TY 型搭接接头,完成了对复杂的空间交贯线的处理。根据本文提供的计算机程序,只需输入管接头的主要几何参数,便可迅速求得整个管接头区内的应力场及各点的主座力,从而获得接头的应力集中系数及热点坐标。为了验证计算的可靠性,本文对管接头模型进行了光弹性应力分析,将计算结果与试验结果作了比较,同时还参考了国外发表的有关试验报告。结果表明,本文的计算是可靠的,变分解法对复杂管接头应力分析的运用是可行的。为了研究在支管受轴向载荷作用条件下搭接接头的性能,本文还将搭接 K 型接头与普通 K 型接头作了计算比较,证明,在一定的搭接范围内,搭接接头的应力集中系数远比普通 K 型接头低。最后,本文还就搭接形式的优化问题进行了一系列数值计算,对搭接接头的设计提出了一些参考意见。
In this paper, the variational solution method used in the stress analysis of simple tubular joints is widely applied to the K-type and TY-type lap joints with complex structure, and the complex space intersection lines are completed. According to the computer program provided in this paper, the main geometric parameters of the pipe joint can be input to quickly calculate the stress field and the main seat force of each pipe joint, so as to obtain the stress concentration factor and hot spot coordinates of the joint. In order to verify the reliability of the calculation, this paper conducts the photoelastic stress analysis of the pipe joint model, compares the calculation results with the test results, and also refers to the relevant test reports published abroad. The results show that the calculation in this paper is reliable. Variational method is feasible for stress analysis of complex pipe joints. In order to study the performance of lap joint under the axial load of branch pipe, the calculation and comparison of lapped K-type joint and common K-type joint are also done in this paper. It is proved that the lap joint stress Concentration coefficient is far lower than ordinary K-type connector. Finally, a series of numerical calculations are made on the optimization of lapped joints. Some suggestions are given for the design of lap joints.