上海交通大学学报（英文版） ›› 2013, Vol. 18 ›› Issue (2): 159-165.doi: 10.1007/s12204-012-1240-x

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Application of Conservative Surrogate to Reliability Based Vehicle Design for Crashworthiness

PAN Feng1 (潘锋), ZHU Ping1,2* (朱平), CHEN Wei3 (陈卫), LI Chen-zhao1 (李忱钊)   

  1. (1. State Key Laboratory of Digital Autobody Engineering, Shanghai Jiaotong University, Shanghai 200240, China; 2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University, Shanghai 200240, China; 3. Department of Mechanical Engineering, Northwestern University, Evanston, Illinois 60208-3111, USA)
  • 出版日期:2013-04-30 发布日期:2013-05-10
  • 通讯作者: ZHU Ping(朱平) E-mail:pzhu@sjtu.edu.cn

Application of Conservative Surrogate to Reliability Based Vehicle Design for Crashworthiness

PAN Feng1 (潘锋), ZHU Ping1,2* (朱平), CHEN Wei3 (陈卫), LI Chen-zhao1 (李忱钊)   

  1. (1. State Key Laboratory of Digital Autobody Engineering, Shanghai Jiaotong University, Shanghai 200240, China; 2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University, Shanghai 200240, China; 3. Department of Mechanical Engineering, Northwestern University, Evanston, Illinois 60208-3111, USA)
  • Online:2013-04-30 Published:2013-05-10
  • Contact: ZHU Ping(朱平) E-mail:pzhu@sjtu.edu.cn

摘要： Surrogate models are commonly used for approximation of large computationally expensive vehicle crash simulation to facilitate rapid design space exploration and optimization. Unfortunately, the optimum design based on surrogates may turn out to be infeasible after running finite element crash simulation due to the surrogate errors. To meet this challenge, conservative strategy of surrogate modeling through compensating fitting errors was used for reliability based design optimization of vehicle structures for crashworthiness and weight reduction. The critical crash responses were constructed by unbiased kriging models, and conservative surrogates were obtained via adding safety margin to estimate the crash responses conservatively. The benefits of using conservative surrogates for reliability based design optimization were investigated in the context of constraint feasibility of the optimum designs through a mathematical example and a case study on vehicle crashworthiness design. The results demonstrate that optimization based on conservative surrogate helps to achieve the feasible optimum design, showing more attractive for reliability based design optimization in engineering applications.

关键词: crashworthiness design, reliability based design optimization, conservative surrogate, kriging model, weight reduction

Abstract: Surrogate models are commonly used for approximation of large computationally expensive vehicle crash simulation to facilitate rapid design space exploration and optimization. Unfortunately, the optimum design based on surrogates may turn out to be infeasible after running finite element crash simulation due to the surrogate errors. To meet this challenge, conservative strategy of surrogate modeling through compensating fitting errors was used for reliability based design optimization of vehicle structures for crashworthiness and weight reduction. The critical crash responses were constructed by unbiased kriging models, and conservative surrogates were obtained via adding safety margin to estimate the crash responses conservatively. The benefits of using conservative surrogates for reliability based design optimization were investigated in the context of constraint feasibility of the optimum designs through a mathematical example and a case study on vehicle crashworthiness design. The results demonstrate that optimization based on conservative surrogate helps to achieve the feasible optimum design, showing more attractive for reliability based design optimization in engineering applications.

Key words: crashworthiness design, reliability based design optimization, conservative surrogate, kriging model, weight reduction

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