基于统一强度理论的自紧身管残余应力分析  

Analysis of Residual Stress of Auto-fretted Barrel Based on Unified Strength Theory

作　　者：佟海生 樊江涛 李强[2] TONG Haisheng;FAN Jiangtao;LI Qiang(Inner Mongolia North Heavy Industries Group Corp.Ltd.,Baotou 014033,Inner Mongolia,China;School of Mechanical and Electrical Engineering,North University of China,Taiyuan 030051,Shanxi,China)

机构地区：[1]内蒙古北方重工业集团有限公司,内蒙古包头014033 [2]中北大学机电工程学院,山西太原030051

出　　处：《火炮发射与控制学报》2024年第2期97-104,111,共9页Journal of Gun Launch & Control

摘　　要：基于统一强度理论,考虑材料拉压异性和鲍辛格效应的影响,采用双线性强化材料模型对身管进行自紧分析,推导了身管加载应力、卸载应力、残余应力及工作应力的解析解,得到了弹塑性交界面半径、反向屈服半径的计算公式,提出了最佳自紧度和自紧压力的计算方法,通过与实验数据进行对比,验证了本文理论解的正确性,分析了材料拉压强度比、中间应力系数等参数对身管残余应力、弹塑性交界面半径、反向屈服半径和最佳自紧压力的影响。结果表明,反向屈服半径、弹塑性交界面半径、弹塑性交界面处残余应力与材料拉压强度比成正比,与中间应力系数成反比;最佳自紧压力与材料拉压强度比成反比,与中间应力系数成正比。Based on the unified strength theory,considering the influence of material tension-compression anisotropy and Bauschinger effect,a bilinear strengthening material model was used to analyze the auto-fretted barrel,and analytical solutions of loading stress,unloading stress,residual stress and working stress of the barrel were derived.The calculation formulas of the elastic-plastic interface radius and reverse yield radius were obtained,and the calculation methods of the optimum autofrettage degree and autofrettage pressure were proposed.The correctness of the theoretical solutions was verified by comparison with the experimental data,and the influences of material tensile strength ratio,intermedia-te stress coefficient and other parameters on the residual stress,elastic-plastic interface radius,reverse yield radius and optimum autofrettage pressure of the barrel were analyzed.The results show that the reverse yield radius,elastic-plastic interface radius and residual stress at the elastic-plastic interface are proportional to the material tensile strength ratio and inversely proportional to the intermediate stress coefficient;the optimum autofrettage pressure is inversely proportional to the material tensile strength ratio and proportional to the intermediate stress coefficient.

关 键 词：残余应力 统一强度理论 鲍辛格效应 双线性强化模型 反向屈服 

分 类 号：TJ304[兵器科学与技术—火炮、自动武器与弹药工程]