一、前言近年来,随着航空、航天、原子能、化工、仪器仪表工业的发展,波纹管、振动筒等精密弹性元件在飞机高空氧气调节器,火箭发动机动密封装置、推进剂柔性导管,压力、流量、温度计量及调节器,气动及液动自控制系统、温度补偿……等装置中都得到了广泛的应用。波纹管、振动筒和工业中常见到的细长薄壁圆管形零件往往有一些特殊要求: 1.壁很薄,一般为0.05～0.2毫米;尺寸精度要求较高,如有的壁厚允差为0.005毫 I. Introduction In recent years, with the development of aviation, aerospace, atomic energy, chemical industry and instrumentation industries, the precision elastic components such as bellows and vibrating cylinder have been widely used in aircraft high altitude oxygen regulator, rocket motor seal, propellant flexible conduit, , Flow, temperature measurement and regulator, pneumatic and hydraulic self-control system, temperature compensation ... ... and other devices have been widely used. Bellows, vibrating tube and slender thin-walled circular tubular parts commonly seen in industry often have some special requirements: 1. The wall is very thin, usually 0.05-0.2 mm; the dimension accuracy is higher, if any, the wall thickness tolerance is 0.005 Milli