Contemporary approach in earthquake engineering tends to dissipate some part of seismic energy by additional fuses. Owing to its easy-to-produce and plug-and-play characteristics, energy dissipative steel cushion (SC) can be a prominent candidate to serve this purpose. Since its closed form design equations are already available in the literature, seismic performance and energy dissipative characteristics of SC might be improved by optimal sizing. Hence, distinct mathematical optimization techniques, namely sequential quadratic programming, gradient-based method, and Lagrange multiplier method, are employed. Results of the optimization techniques are evaluated through experimentally verified finite element analyses. Consequently, some geometric dimension ratios are provided for the optimal sizing of SCs. Comparisons between the optimization studies yielded that the gradient-based method requires fewer function evaluations to converge while the Lagrange multiplier method with a Hessian produces more accurate results.

地震工程中的现代方法往往会通过额外的保险丝消散地震能量的一部分。由于其易于生产和即插即用的特性，消能钢制坐垫（SC）可能是实现此目的的主要选择。由于其封闭形式的设计方程已在文献中提供，因此可通过优化尺寸来改善SC的抗震性能和耗能特性。因此，采用了独特的数学优化技术，即顺序二次编程，基于梯度的方法和拉格朗日乘数法。优化技术的结果通过实验验证的有限元分析进行评估。因此，提供了一些几何尺寸比率以优化SC的大小。