Shape optimization combined with Isogeometric Analysis will be an efficient design method since exact Computer Aided Design geometries can be used for numerical analysis thanks to the same basis functions. In this study, authors developed an in-house research software JWRIAN-IGA and applied it to optimize the weld geometries of two models, namely a T-joint fillet weld and an elongated boxing fillet weld to reduce stress concentration. A gradient-free stochastic global optimization algorithm, Bayesian Optimization was used to sought optimal geometry parameters. It was shown that the optimized geometry was efficiently designed and the stress concentration in the welds for both cases was greatly reduced.

形状优化与等几何分析相结合将是一种有效的设计方法，因为由于相同的基函数，精确的计算机辅助设计几何形状可用于数值分析。在这项研究中，作者开发了一个内部研究软件 JWRIAN-IGA 并将其应用于优化两个模型的焊缝几何形状，即 T 形接头角焊缝和拉长的拳击角焊缝，以减少应力集中。一种无梯度随机全局优化算法，贝叶斯优化用于寻找最佳几何参数。结果表明，优化的几何形状得到了有效的设计，两种情况下焊缝中的应力集中都大大降低了。