Petrochemical Design ›› 2026, Vol. 43 ›› Issue (2): 51-54.

• ENGINEERING AND APPLICATION • Previous Articles     Next Articles

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

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