石油化工设计 ›› 2026, Vol. 43 ›› Issue (2): 51-54.

• 工程应用 • 上一篇    下一篇

基于响应面法的冲压成形封头残余应力数值模拟研究

芦娅妮1,2,任金平1,2,康进科1,2,陈兵3,于春柳1,2,张琪1,2   

  1. 1.陇东学院石油化工学院,甘肃 庆阳 7450002.甘肃省陇东油气资源高效利用重点实验室,甘肃 庆阳 7450003.宁夏天利丰能源利用有限公司,宁夏 吴忠 751000
  • 出版日期:2026-05-25 发布日期:2026-05-25
  • 作者简介:芦娅妮,女,2014年6月毕业于辽宁石油化工大学化工过程机械专业,工学硕士,副教授,教务处副处长 ,现从事过程装备与控制工程专业教学及科研工作。联系电话:0934-8658701;E-mail:515790734@qq.com
  • 基金资助:
    基金项目:甘肃省自然科学基金项目(24JRRM001);甘肃省青年科技基金计划项目(22JR5RM214);甘肃省教育科技创新项目(2024A-159,2026B-217);陇东学院横向科研项目(HXZK2625)

Numerical Simulation of Residual Stress of Deep Drawing Forming Head Based on Response Surface Methodology

Lu Yani1,2, Ren Jinping1,2, Kang Jinke1,2, Chen Bing3, Yu Chunliu1,2, Zhang Qi1,2   

  1. 1. College of Petroleum and Chemical Engineering, Longdong University, Qingyang, Gansu, 745000; 2. Gansu Key Laboratory of Efficient Utilization of Oil and Gas Resources in Longdong, Qingyang, Gansu, 745000; 3. Ningxia Tianlifeng Energy Co., Ltd., Wuzhong, Ningxia, 751000
  • Online:2026-05-25 Published:2026-05-25

摘要:

压力容器封头冲压成形的残余应力对其质量至关重要,为预测工艺参数对封头最大残余应力的影响,本研究选取压边力、摩擦系数、凹模圆角半径为变量,通过响应面法设计了数值模拟方案,借助Abaqus软件开展数值模拟计算,获取封头成形后的最大残余应力;运用Design Expert软件分析数值模拟试验数据,拟合出冲压成形封头最大残余应力与3个变量之间的回归方程,即响应面数学模型,根据响应函数绘制各变量之间相互作用、对冲压成形封头最大残余应力影响的三维响应面曲面图。结果表明,回归模型高度显著、响应函数拟合精度与可信度优异,可准确分析和预测封头成形后最大残余应力,为压力容器封头冲压成形过程工艺参数优化和残余应力研究提供理论参考。

关键词: 压力容器, 封头, 冲压成形, 响应面法, 残余应力

Abstract:

 The residual stress generated during the deep drawing forming process of pressure vessel heads seriously affects the quality of the heads. In order to accurately predict the influence of various process parameters on maximum residual stress, this paper selects blank holding force, friction coefficient and die fillet radius as research variables, and designs a numerical simulation scheme according to the response surface methodology. Abaqus software is used for numerical simulation calculation to obtain the maximum residual stress of the deep-drawing forming head. Design Expert software is used to analyze the numerical simulation test data. The regression equation between the maximum residual stress of the deep drawing forming head and the three variables, namely the response surface mathematical model, is obtained by fitting. According to the response function, the three-dimensional response surface diagram for the influence of interaction between the variables on the maximum residual stress of deep drawing forming head is drawn. The results show that the regression model is highly significant, the fitting precision of the response function is good, and the reliability is high. It verifies that the response surface methodology can accurately analyze and predict the maximum residual stress of the deep drawing forming head, and provides a reference for process parameter optimization and residual stress research of the deep drawing forming process of pressure vessel heads.

Key words: pressure vessel, head, deep drawing forming, response surface methodology, residual stress