Optimal fixture configuration is critical to minimise the machining distortion of the workpiece. This study presented an approach for optimisation of fixturing configuration in flexible machining fixtures. Herein, a flexible fixture system composed of adaptive clamping unit, locating unit, and auxiliary locating unit was investigated. Response surface methodology (RSM) was employed to describe the relationship between fixturing parameters (distance between two zero-point fixtures m ₁, the clamping force of float fixture m ₂, and quantity of float fixture m ₃) and machining distortion. Furthermore, sensitivity analysis was implemented to evaluate the effects of fixturing parameters on machining distortion. Adaptive penalty function (APF) was constructed to search optimal settings of fixturing parameters. Comparative analysis of different optimal fixturing parameters obtained by RSM and APF was conducted. Single-sided component was adopted to validate the effectiveness of the proposed approach. Machining distortion was found to first decrease and then increase with the augment of m ₁ and it reduced with the increment of m ₂ and m ₃. Besides, m ₃ exhibited the greatest influence on machining distortion, 61.78%. The interaction between m ₂ and m ₃ resulted in the lowest influence, 0.019003%. Furthermore, the maximum machining distortion through optimised flexible clamping was only 0.312 mm, which reduced by 57.6% compared to traditional clamping.

最佳的夹具配置对于最小化工件的加工变形至关重要。这项研究提出了一种优化柔性加工夹具中夹具配置的方法。在此，研究了由自适应夹紧单元，定位单元和辅助定位单元组成的柔性夹具系统。用响应面方法（RSM）描述夹具参数（两个零点夹具之间的距离m ₁，浮动夹具的夹持力m ₂和浮动夹具的数量m _{3之间的关系。}）和加工变形。此外，还进行了敏感性分析，以评估夹具参数对加工变形的影响。构造自适应惩罚函数（APF）来搜索夹具参数的最佳设置。通过RSM和APF获得的不同最佳夹具参数进行了比较分析。采用单面组件来验证所提出方法的有效性。发现加工变形随着m ₁的增加先减小然后增加，然后随着m ₂和m ₃的增加而减小。另外，m ₃对加工变形的影响最大，为61.78％。之间的相互作用m ₂和m ₃的影响最小，为0.019003％。此外，通过优化的柔性夹紧实现的最大加工变形仅为0.312 mm，与传统夹紧相比降低了57.6％。