在蒙皮拉形工艺中,由于诸多不确定因素的存在,传统最优工艺条件下的成形质量存在较大波动。针对该问题,将有限元分析和稳健设计有效结合,提出基于方差传递模型的飞机蒙皮拉形工艺稳健设计方法。分析蒙皮拉形中的主要质量缺陷及关键设计参数,考虑成形过程中设计参数的波动和噪声因子;基于有限元分析和响应面法给出蒙皮拉形工艺的质量缺陷指标(响应)与设计参数及噪声因子的函数关系式;依据设计参数的方差、噪声因子的方差与响应方差的传递关系,获得响应均值与方差的估计;以最小化均方误差为稳健优化准则,结合理想点法进行多目标优化,实现参数的稳健设计。以某蒙皮零件的拉形工艺为例对提出的方法进行验证。结果表明,与传统的优化设计相比,该方法可以有效减少蒙皮拉形工艺的质量波动,提高工艺稳健性。
Conventional optimization design in skin stretch forming process rarely considers the uncertain factors existing in materials,process conditions and parameters such as modulus,thickness and residual strain,thus causing great fluctuation in forming quality.Aiming at this problem,a robust design approach for aircraft skin stretch forming based on transmitted variance model is proposed,which combines robust design with finite element method.The main quality defects and key design parameters in skin stretch forming process are analyzed,and the fluctuation of design parameters and noise factors are considered.Based on the transitive relationship among the variances of design parameters,noise factors and response,the estimations of response mean and variance are obtained on the basis of the transitive relationship among response variance,design parameter variance and noise factor variance.Robust design of parameters is realized by taking the minimized mean square error as the criterion of robust optimization and by combining with ideal point to carry out multi-objective optimization.The stretch forming process of a certain skin part is taken as an example to verify the proposed method.The result shows that in comparison with the traditional optimization design,this method can effectively reduce the quality fluctuation and improve the robustness of skin stretch forming process.