著者

吉冨 信太 山川 誠 上谷 宏二

出版者

日本建築学会

雑誌

日本建築学会構造系論文集 (ISSN:13404202)

巻号頁・発行日

vol.69, no.586, pp.95-100, 2004

参考文献数

11

被引用文献数

2 11

---

A method is proposed for selecting optimum discrete sections of steel frames using a two-step relaxation method. At the first step, the discrete optimization problem is approximately solved by using a continuous optimization problem wherein approximate expressions are applied to the standard sections. At the second step, the near optimal set of discrete sections is selected using the solution of the relaxation problem whose design space is limited to the neighborhood of the optimal solution obtained in the first step. Through the numerical example of a 6-story 5-bay plane frame under elastic constraints, it is demonstrated that a discrete solution can be obtained whose rate of increase in total steel volume from the continuous optimum design is only 1.8%. This approach is general enoueh to be applied to the problems under elastic-plastic constraints and those with any type of standard section lists.