提出抗震结构集成优化设计的新方法，将多目标遗传优化算法与反应谱分析很好地结合起来，建立规则钢筋混凝土圆形单柱桥墩多目标抗震优化设计的通用框架，以圆形单柱桥墩的截面半径、纵向钢筋配筋率和横向箍筋配筋率为设计变量，以结构的初始材料造价、抗震强度需求能力比、抗震延性需求能力比为优化目标函数。通过把延性抗震设计问题转化为多目标优化问题，从而使设计者可以很好地平衡抗震设计的各种关键因素，并以可控的方式处理多个优化目标而获得Pareto意义上的最优设计参数。

A new integrated optimal design method is proposed for earthquake-resistant structures. Multi-objective genetic algorithm and response spectrum analysis are integrated to establish a general framework for multi-objective optimal seismic design of regular reinforced concrete single-column circular bridge piers. The optimization adopts structural sizing variables such as radius of circular section, longitudinal and transverse reinforcement steel ratios as design variables. And the optimal objectives include the initial material cost, the ratio between strength demand and capacity and the ratio between ductility demand and capacity. Through formulating the ductile seismic design problem as a multi-objective optimization problem, designers are able to keep prominent balance in some very important aspects of seismic design and deal with multi-objectives in a controlled manner to find the optimum parameters in a Pareto optimal sense.