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首页> 外文期刊>Mathematical Problems in Engineering >Robust Die Compensation in Sheet Metal Design through the Integration of Dual Response Surface and Shape Function Optimization
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Robust Die Compensation in Sheet Metal Design through the Integration of Dual Response Surface and Shape Function Optimization

机译：钣金设计中​​的鲁棒模具补偿通过双响应表面和形状函数优化的整合

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摘要

In sheet metal forming, springback represents a major drawback increasing die set-up problems, especially for ultra-high strength steels. Finite Element Analysis is a well-established method to simulate the process during design, and multicriteria optimizations, for example, via surrogate models, are investigated in order to develop integrated design. Since to take into account also springback compensation die design may involve a large number of geometric variables, this paper presents a robust design formulation, based on the adoption of the shape function optimization, to describe springback in terms of weights directly associated to global shape variations of the die shape. Doing so, multicriteria optimization, which involves also die compensation, can be set up in a more intuitive approach, as requested in the preliminary steps of die design. After the introduction of the industrial problem, the mathematical formulation of the shape function optimization is presented together with its novel extension to Robust Design, which is based on the Dual Response Surface. Through a test case derived from the head part of a B-pillar, stamped from a Dual Phase sheet 1.5mm thick, this novel extension investigates the effect of 6% variation from nominal values of initial yield stress and thickness. Results demonstrate the feasibility of the procedure, underlying that an optimal compensation may not be optimal in terms of process robustness.
机译：在金属板成形中，回弹代表了增加模具设置问题的主要缺点，特别是对于超高强度钢。有限元分析是模拟设计过程中的过程的良好方法，并且研究了多标准优化，例如通过代理模型，以便开发集成设计。由于考虑到回弹补偿模具设计可以涉及大量的几何变量，本文提出了一种坚固的设计配方，基于采用形状函数优化，以便在与全局形状变化直接相关的重量方面描述回弹模具形状。如此，可以以更直观的方法设置涉及模具补偿的多轨道优化，如模具设计的初步步骤所要求的更直观的方法。在引入工业问题之后，形状函数优化的数学制剂与其新颖的延伸到鲁棒设计的新颖延伸，这是基于双响应表面。通过从B柱的头部衍生的测试案例，从双相片厚加注1.5mm厚，这一新颖延伸研究了初始屈服应力和厚度标称值的6％变化的影响。结果表明，在过程稳健性方面，最佳补偿可能不是最佳的程序的可行性。

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  • 来源
    《Mathematical Problems in Engineering》 |2019年第12期|7357135.1-7357135.12|共12页
  • 作者

    Bici Michele; Campana Francesca; Cimolin Flavio; Rizzo Leopoldo;

  • 作者单位

    Univ Roma La Sapienza Dipartimento Ingn Meccan & Aerospaziale Via Eudossiana 18 I-00184 Rome Italy;

    Univ Roma La Sapienza Dipartimento Ingn Meccan & Aerospaziale Via Eudossiana 18 I-00184 Rome Italy;

    AMET Italy SRL Via Livorno 60 I-10144 Turin Italy;

    Ctr Sviluppo Mat SpA Via Castel Romano 100 I-00128 Rome Italy;

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