针对索穹顶在风振作用下的优化设计问题,基于线性滤波法,采用MATLAB软件对索穹顶进行风速时程模拟.以风振作用下索穹顶的总体横向位移、整体预应力水平、总重量为目标函数建立优化模型,采用ISIGHT软件集成ANSYS,基于NSGA II遗传算法,对索穹顶进行了多目标函数优化.优化结果表明:在风振作用下,总体横向位移增加少许,但整体预应力水平与总重量都得到较大的降低,优化结果具有较高的经济性与力学合理性. Aiming at the optimization design problem of cable dome under wind vibration, based on the linear filter method, the MATLAB software was used to simulate the wind speed time history of cable dome.According to wind vibration, the overall lateral displacement of cable dome, the overall prestress level, Objective function to establish the optimization model, the ISIGHT software is used to integrate ANSYS and the NSGA II genetic algorithm is used to optimize the multi-objective function of the cable dome.The optimization results show that under the wind vibration, the overall lateral displacement increases a little, but the overall prestress level and The total weight has been greatly reduced, the optimization results have higher economic and mechanical rationality.