不确定因素下薄壁铝合金管弯曲的多目标连续稳健优化设计（英文）

Sequential multi-objective optimization of thin-walled aluminum alloy tube bending under various uncertainties

结合实验设计和三维弹塑性有限元,在确定性优化设计基础上,提出了不确定因素下薄壁铝合金管数控弯曲的多目标连续稳健优化方法。基于部分析因设计,获得了显著的噪声因子,包括管材性能变化、管材几何尺寸波动和管材-模具摩擦波动。采用田口内外表试验法,考虑主要弯曲成形缺陷,对薄壁铝管数控弯曲芯模直径、芯棒伸出量和助推速度进行了稳健优化设计。通过分别考虑摩擦接触条件、管材料参数和管材几何参数的波动,实现了薄壁铝管数控弯曲芯模直径的稳健性优化设计;通过考虑材料参数波动、芯模与管间的摩擦波动以及芯模直径的制造偏差,实现了芯棒伸出量和助推速度的稳健性优化设计。

Combining the design of experiments(DOE)and three-dimensional finite element(3D-FE)method,a sequential multiobjectiveoptimization of larger diameter thin-walled(LDTW)Al-alloy tube bending under uncertainties was proposed andimplemented based on the deterministic design results.Via the fractional factorial design,the significant noise factors are obtained,viz,variations of tube properties,fluctuations of tube geometries and friction.Using the virtual Taguchi’s DOE of inner and outerarrays,considering three major defects,the robust optimization of LDTW Al-alloy tube bending is achieved and validated.For thebending tools,the robust design of mandrel diameter was conducted under the fluctuations of tube properties,friction and tubegeometry.For the processing parameters,considering the variations of friction,material properties and manufacture deviation ofmandrel,the robust design of mandrel extension length and boosting ratio is realized.