采用MATLAB模块化编程将多目标粒子群优化算法MOPSO和反应谱分析联合起来进行抗震优化设计。根据桥墩在E1和E2两级设防水准地震作用下的抗震性能，采用Pushover分析墩顶的最大漂移率以及概率统计的方法得到全寿命期费用模型对应的工程费用，从而得到费用最小的Pareto解。数值计算结果表明：MOPSO算法和反应谱分析结合能够很好的应用于桥梁全寿命抗震性能设计分析，算法的收敛性和稳定性好，所求得的Pareto最优解在解空间分布均匀且范围较广，可以为桥梁设计提供良好的方案选择空间。%In this research ,the Multiple Objective Particle Swarm Optimization(MOPSO) was incorporated with response spectrum analysis for the seismic optimization design .The total life-cycle costs were derived by using statistic method , which was based on the maximum displacement angle ratio at the top of the pier under the earthquake of two levels (E1 and E2 ) by Pushover analysis ,and then the minimum cost Pareto solution was obtained .Numerical results indicate that the combination of MOPSO algorithm and response spectrum analysis are highly competitive and can be considered a vi-able alternative to solve the life-cycle seismic performance optimization problem .The convergence and stability of the al-gorithm is guaranteed ,and the Pareto optimal solutions are distributed uniformity and extensively ,which is favourable to the bridge design .
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