基于模式搜索算法的结构被动控制系统参数优化研究
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摘要
提出减震结构被动控制系统优化分析数学模型,结合优化模型特点与主要优化算法的数学原理,选取模式搜索算法进行结构减震被动控制系统参数优化分析。通过编制目标函数程序,实现了Matlab模式搜索工具箱与Ansys减震模型的接口。多峰值函数的极值求解过程印证了模式搜索工具箱在解决该类优化问题时的有效性,而框架减震模型参数优化分析过程表明了优化程序的可行性以及优化结果的准确性,最终不同地震波下的优化分析结果证明了优化程序在减震结构参数优化中的稳定性。
The idea for vibration control of construction was given out and the corresponding mathematical model was established.Based on the characteristics of optimization model of seismic reduction structure and the mathematical principle of main optimization algorithm,pattern search algorithm was chosen for damper parameter optimization.Through secondary development of ANSYS,the damper parameter optimization program of seismic reduction structure was established.The process of searching for the extreme value of multi-peak functions verifies the effectiveness of the pattern search algorithm and the optimization analysis under different seismic waves proves the stability of the algorithm.
The idea for vibration control of construction was given out and the corresponding mathematical model was established.Based on the characteristics of optimization model of seismic reduction structure and the mathematical principle of main optimization algorithm,pattern search algorithm was chosen for damper parameter optimization.Through secondary development of ANSYS,the damper parameter optimization program of seismic reduction structure was established.The process of searching for the extreme value of multi-peak functions verifies the effectiveness of the pattern search algorithm and the optimization analysis under different seismic waves proves the stability of the algorithm.
引文
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[2]李涛,张洵安.巨子型有控结构体系中黏滞阻尼器参数研究[J].地震工程与工程振动,2011,31(4):71-76.LI Tao,ZHANG Xun’an.Research on parameters of viscousdampers inserted in MSCSS[J].Journal of EarthquakeEngineering and Engineering vibration.2011,31(4):71-76.
[3]王立伟,蔡新江,田石柱.黏滞阻尼器耗能减振工程应用设计方法研究[J].地震工程与工程振动,2011,27(5):161-167.WANG Li-wei,CHAI Xin-jiang,TIAN Shi-zhu.Research onpractical design method using liquid viscous damper passiveenergy dissipation in building[J].Journal of EarthquakeEngineering and Engineering vibration.2011,27(5):161-167.
[4]吴泽厚,周福霖.消能减震建筑结构的计算分析[J].重庆建筑大学学报,2002,24(2):47-51.WU Ze-hou,ZHOU Fu-lin.Optimization of energy dissipationbraces in frame structures[J].Journal of Chongqing JianzhuUniversity,2002,24(2):47-51.
[5]周星德,彭宣茂.基于遗传算法的建筑结构最优阻尼研究[J].计算力学学报,2005,22(6):780-784.ZHOU Xing-de,PENG Xuan-mao.Study on optimal damperof building structures using real coded genetic algorithms[J].Chinese Journal of Computational Mechanic,2005,22(6):780-784.
[6]薛毅.最优化原理与方法[M].北京:北京工业大学出版社,2008:125-133.
[7]徐庆阳.大跨空间网架结构减震技术研究与应用[D].南京:东南大学,2005.
[8]黄铭枫,唐家祥.高层建筑粘弹性阻尼器的优化设置[J].华中科技大学学报,2001,29(11):73-75.HUANG Min-feng,TANG Jia-xiang.Optimum installation ofthe viscoelastic dampers for the tower structure[J].J.Huazhong Univ.of Sci.&Tec.,2001,29(11):73-75.
[9]国巍,李宏男.考虑扭转耦联效应的附属结构最优位置分析[J].计算力学学报,2009,26(6):797-803.GUO Wei,LI Hong-nan.Secondary system’s optimalposition analysis concerning the lateral-torsion coupling effect[J].Chinese Journal of Computational Mechanic,2009,26(6):797-803.
[10]Lewis R M,Torczon V.A globally convergent augmen-tedLagrangian pattern search algorithm for optimization withgeneral constraints and simple bounds[J].SIAM Journal onOptimization,2002,12(4):1075-1089.
[11]Yosef S S,Bruce A B.Optimization by pattern search[J].European Journal of Operational Research,1994,78(13):388-303.
[12]雷英杰,张善文,李继武,等.MATLAB遗传算法工具箱及应用[M].西安:西安电子科技大学出版社,2004:146-207.
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