Abstract In this paper an efficient optimized seismic design of steel moment resisting frames is presented. Non-linear time history analysis is utilized to evaluate structural responses under seismic excitations. The goal is to optimize the cross-section properties of all elements comprising the frame, in order to achieve the minimal structural steel volume as a representation of the cost. Performance based design constraints are formulated to limit the inter-story drifts for desired levels. As efficiency is of concern, a gradient based optimization is adopted. The design variables are formulated as continuous and along with the discrete material optimization (DMO) function, standard steel table sections can be attained. The adjoint analytical method is employed to derive the sensitivities in an efficient manner. Numerical examples demonstrate the effectiveness of the methodology. Even in cases of irregular, real-scale, moment resisting frames – optimized desired discrete designs have been achieved in a reasonable computational effort.

中文翻译：

---

基于性能的钢抗弯框架形式化优化抗震设计

摘要 本文提出了一种有效的钢抗弯框架抗震优化设计。非线性时程分析用于评估地震激发下的结构响应。目标是优化构成框架的所有元素的横截面特性，以实现最小的结构钢体积作为成本的表示。制定基于性能的设计约束以限制所需级别的层间漂移。由于关注效率，因此采用基于梯度的优化。设计变量被公式化为连续的，并且与离散材料优化 (DMO) 函数一起，可以获得标准的钢台截面。采用伴随分析方法以有效的方式导出灵敏度。数值例子证明了该方法的有效性。即使在不规则的、真实比例的、抗弯框架的情况下，也可以通过合理的计算工作实现优化的所需离散设计。