Structural steel plates with engineered cut-outs to exhibit a controlled yielding mechanism is recently proposed for desirable structural performance compared to conventional systems. Butterfly-shaped beams with hexagonal cut-outs inside of the beam’s web are implemented to better align the bending strength diagram along the link length with the corresponding demand shape of the applied moment diagram. In previous studies, it has been reported that these links have a substantial energy dissipation capability and sufficient ductility which necessities further investigations and structural behavior prediction studies. In this study, a set of 240 nonlinear finite element models are developed for the creation of a database and subsequently calibrated with finite element software packages. The capability of the gene expression programming (GEP) is explored for the prediction of the force–displacement relationship of a butterfly-shaped beam. Two new models are developed based on the reliable generated database. Subsequently, the proposed models are validated with several conducted analyses and statistical parameters, for which the comparisons are shown in detail. The results represent that the proposed models are able to predict the force–displacement relationship of a butterfly-shaped beam with satisfactory accuracy.

与常规系统相比，近来提出了具有工程切口以表现出受控屈服机制的结构钢板，以具有理想的结构性能。梁腹板内部具有六角形切口的蝴蝶形梁的设计可更好地使弯曲强度图沿链节长度与所施加力矩图的相应需求形状对齐。在以前的研究中，已经报道这些连接具有实质的能量消散能力和足够的延展性，这需要进一步的研究和结构行为预测研究。在这项研究中，开发了一组240个非线性有限元模型，用于创建数据库，并随后使用有限元软件包进行了校准。探索了基因表达程序设计（GEP）的功能，以预测蝴蝶形梁的力-位移关系。基于可靠生成的数据库，开发了两个新模型。随后，通过几种进行的分析和统计参数验证了所提出的模型，并详细显示了比较结果。结果表明，所提出的模型能够以令人满意的精度预测蝴蝶形梁的力-位移关系。