基于满意度原理的自立式高耸钢结构环形TLCD控制多目标优化设计

Multi-objective optimal design of the ring shaped TLCD control of self-standing high-rise steel structures based on the satisfactory degree principle

主要针对自立式高耸钢结构振动控制的优化设计开展研究,根据自立式高耸钢结构的特点,设计了环形调谐液柱阻尼器(Tuned Liquid Column Damper,TLCD),描述了其力学模型,并进一步推导了高耸结构环形TLCD控制的动力学方程。采用Sigmoid函数和线性叠加法构建了用于自立式高耸钢结构风振控制的复合满意度函数,从而基于满意度原理,并结合模式搜索算法,建立了自立式高耸钢结构多目标优化设计方法。针对某自立式高耸钢结构的风振控制设计,以环形TLCD的几何参数为设计变量,以由顶点位移、质量比和迎风面积比组成的复合满意度为目标,编制程序开展了所建立方法的数值算例研究。研究表明,该方法能够快速有效地得到一组满足工程需要的设计参数,同时最优参数和相应设计目标对权重组合的变异系数小于0.1,因此该方法具有较高的鲁棒性,降低了多目标优化设计时权重系数选取的难度。

An optimal design method for the vibration control of self-standing high-rise steel structures was presented.A ring shaped Tuned Liquid Column Damper(TLCD) was designed according to the characteristics of structures,also its mechanical model was presented,and the dynamic equation of the high-rise structures with the ring shaped TLCD was derived.A composite satisfactory function,which can be used in the designation of structural control devices,was constructed using the Sigmoid function and linear superposition methods,and a multi-objective optimal design method was established based on the satisfactory degree principle and pattern search method.Focusing on the windinduced vibration control of self-standing high-rise steel structures,a numerical case study was conducted by programming the method.In the study,the design variables were the geometrical parameters of the ring shaped TLCD,and the objective is the composite satisfactory function composed of the items related to the top displacement,mass ratio and windward area ratio.The study shows that the method can efficiently obtain a set of design parameters which can satisfy project requirements and the variation coefficients of both the optimal parameters and related objectives are all less than0.1.So,it is a method with high robustness,and the difficulty of choosing weight coefficients in multi-objective optimization is reduced.