增强S形波纹管内压稳定性分析方法  

Buckling of the reinforced S-shaped bellows under internal pressure

作　　者：霍世慧 许红卫 朱卫平[2] 袁喆 HUO Shihui;XU Hongwei;ZHU Weiping;YUAN Zhe(Science and Technology on Liquid Rocket Engine Laboratory,Xi'an 710100,China;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China;Xi'an Aeronautical University,Xi'an 710077,China)

机构地区：[1]液体火箭发动机技术重点实验室,陕西西安710100 [2]上海大学上海市应用数学和力学研究所,上海200072 [3]西安航空学院,陕西西安710077

出　　处：《火箭推进》2022年第4期66-71,共6页Journal of Rocket Propulsion

基　　金：国家自然科学基金(52005385);陕西省自然科学基础研究计划(2021JQ-848)。

摘　　要：针对增强S形波纹管,结合理论分析与数值仿真分析方法,给出内压稳定性的分析方法。首先基于数值分析方法获得波纹管轴向刚度,由最小轴向刚度确定结构弯曲刚度。然后,基于内压作用下薄壁圆柱壳轴线控制方程和弯曲过程波纹管结构几何关系,获得摇摆过程边界影响系数的选取方法。最后,基于Euler公式并参考EJMA规范,给出增强S形波纹管稳定性临界内压分析方法,方法综合考虑材料弹塑性、内压和边界影响系数等因素,较真实反映波纹管实际情况,能够较好地应用于增强S形波纹管结构稳定性分析。In the present study,the analysis method of critical pressure of reinforced s-shaped bellows was carried out based on the theoretical and numerical simulation analysis.Firstly,the axial stiffness of reinforced s-shaped bellows was obtained based on the finite element method.The bending stiffness of bellows was obtained according to the minimal axial stiffness.Then,boundary influence coefficient of bellows was analyzed based on axial control equation of thin walled cylinder under the inner pressure.At last,the analysis method of critical load of reinforced S-shaped bellows was put forward based on Euler equation and EJMA,which takes plasticity,inner pressure and boundary condition into account and actually reflects the bellows condition.It can be well used in the buckling analysis of reinforced S-shaped bellows.

关 键 词：增强S形波纹管 稳定性 柱失稳 临界内压 边界影响系数 

分 类 号：V475[航空宇航科学与技术—飞行器设计]