The significance of the stochastic nature of a multi-point dieless forming (MDF) process for final product accuracy has been extensively recognized. It is an under-research area in terms of effective techniques and computational tools for easy industrial applications and implementation. It is also recognized that wrinkling and dimpling are the most MDF product defects. Deterministic optimization using the finite element (FE) analysis have been used to improve the formability of the MDF process; however, not considering the noises of the system could affect the variation of the final product quality. In this study, the uncertainty parameters are considered to avoid the random variation of the final product accuracy while using the same control process parameters. In addition, to avoiding computationally expensive FE analysis, the approximation model has been used for both product defects. A six-sigma robust optimization is applied to obtain both reliable and robust MDF products. Finally a numerical simulation with one experimental result of a given target shape shows that the wrinkling and dimpling defect is controlled using the obtained optimal process parameter setup.

多点无模成型（MDF）过程的随机性对于最终产品精度的重要性已得到广泛认可。在有效的技术和计算工具方面，这是一个尚待研究的领域，可轻松实现工业应用和实施。还公认的是，起皱和凹陷是大多数MDF产品的缺陷。使用有限元（FE）分析进行确定性优化已被用来改善MDF工艺的可成形性。但是，不考虑系统噪声会影响最终产品质量的变化。在这项研究中，考虑了不确定性参数，以避免在使用相同的控制过程参数时最终产品精度的随机变化。此外，为了避免计算量大的有限元分析，近似模型已用于两种产品缺陷。应用六西格玛鲁棒性优化来获得可靠和鲁棒的MDF产品。最后，利用给定目标形状的一个实验结果进行的数值模拟表明，使用获得的最佳工艺参数设置可以控制起皱和凹痕缺陷。