拱坝拱圈结构的抗震多目标博弈设计

Multi-objective anti-seismic game design of arch ring structure

分别以地震过程中最大反应能量为代表的稳定性目标函数、以最大主拉应力为代表的强度安全性目标函数和以拱圈体积为代表的经济性目标函数,建立了两端受压拱坝拱圈结构的几何模型和抗震多目标设计模型.提出了基于博弈分析思路的求解方法,建立多目标问题博弈分析的技术路线和计算步骤.并以小湾拱坝高程2 1 210 m处拱圈为算例,说明博弈设计能均衡和兼顾稳定性、安全性和经济性的目的.

To analyze a slim arch structure with pressure on its two ends, three objective functions, such as stability objective function, strength safety objective function, and economy objective function which are expressed by the maximum reaction energy and the maximum principal tension stress respectively during an earthquake process and the volume of arch ring, are used to establish the arch ring structure＇s geometrical model and multiobjective anti-seismic design model. By raising a solving method based on the game theory, the technical method and calculation steps of the game analysis on the multi-objective problem are established. Taking the cross-section （at an elevation of 1 210 m） of Xiaowan Arch Dam as an example, the results show that the game design can give consideration to stability, safety and economy at the same time.