Hybrid reliability analysis and robust optimum process design as applied to hot stamping of steel sheets
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ORIGINAL ARTICLE
Hybrid reliability analysis and robust optimum process design as applied to hot stamping of steel sheets Yuantao Sun 1
&
Kaige Chen 1 & Qing Zhang 1 & Xianrong Qin 1 & Zengzeng Zhang 1
Received: 5 November 2019 / Accepted: 3 August 2020 / Published online: 15 August 2020 # Springer-Verlag London Ltd., part of Springer Nature 2020
Abstract In the process of hot stamping of steel sheet, there may appear crack and wrinkling defects. Therefore, in the early stage of die design, it is necessary to evaluate the reliability of its quality and optimize the original design. Considering that there are both random and fuzzy factors in the stamping process, the entropy invariance principle is used to transform the fuzzy factors to the random ones, and the equivalent hybrid reliability model of anti-defect is established. Then, the reliability index is taken as constraints in robust optimization. Finally, the stamping process of bulge formed joint is taken as an example, the maximum thinning rate is taken as objective, and the reliability of anti-crack and anti-wrinkle is taken as constraints in reliability-based robust optimization (RRDO). The results show that the standard deviation obtained by robust optimization is 77.5% less than the standard deviation obtained by deterministic optimization and the reliability obtained by RRDO is higher. Compared with the experiment result, the result obtained by RRDO is more in line with engineering practice. Keywords Hot stampingof steel sheet . Entropy invariance principle . Hybrid reliability . Robust optimization . Bulge formed joint
1 Introduction In recent years, technology of hot stamping of steel sheets has been greatly promoted in the fields of automobile, ship, and aerospace due to its advantages of high manufacturing efficiency and high utilization rate of materials [1]. In the hot stamping process, if the selection of geometric parameters, process parameters, or materials is unreasonable, crack, wrinkling, and springback defects will occur [2–4]. Therefore, optimization design of hot stamping process of steel sheets has become a research hotspot [5–7]. When optimizing, one important factor affecting the stamping quality is that there are many uncertainties in the stamping process. Sun et al. [8] considered the uncertainties of material properties and stamping process of thin-walled structure and proposed a reliability-based design optimization (RBDO) method. Ledoux et al. [9] considered the uncertain design parameters as random distribution and proposed a RBDO method for the stamping process of U-shaped parts,
* Yuantao Sun [email protected] 1
School of Mechanical Engineering, Tongji University, Shanghai 201804, China
which obtained satisfied results. Strano [10–12] considered the uncertainty in sheet metal forming and optimized the design variables of stamping process. Those researches show that the results of the optimization scheme considering uncertainty can better reflect the actual situation. Aharon et al. [13] pointed out that in order to reduce t
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