大跨空间结构中黏滞阻尼器的位置优化研究
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摘要
对大跨空间结构中黏滞阻尼器的位置优化进行研究。首先从模态应变能和附加阻尼比的概念入手,提出最大化所有替换单元的模态应变能百分比之和的优化思路,在此基础上建立简单实用的优化数学模型。然后采用遗传算法编制阻尼器位置优化程序VDLO(Viscous Dampers’Location Optimization),并采用算例验证程序的合理性。最后通过不同矢跨比的算例分析,总结出双层柱面网壳中阻尼器的优化布置规律,对实际工程具有重要参考价值。
This paper studies the optimal location of viscous dampers in large-span space structures.According to the concepts of modal strain energy and additional damping ratio,an optimization method that maximizes the sum of the percentage of modal strain energy of total replaced members is proposed,and a simple mathematical optimization model is formulated.An optimization program named VDLO(Viscous Dampers' Location Optimization) is developed using Genetic Algorithm,and it is proved valid by the examples.Rules for location of optimal location of dampers in double-layer cylindrical latticed shells are summarized by the examples with different rise-span ratios.
This paper studies the optimal location of viscous dampers in large-span space structures.According to the concepts of modal strain energy and additional damping ratio,an optimization method that maximizes the sum of the percentage of modal strain energy of total replaced members is proposed,and a simple mathematical optimization model is formulated.An optimization program named VDLO(Viscous Dampers' Location Optimization) is developed using Genetic Algorithm,and it is proved valid by the examples.Rules for location of optimal location of dampers in double-layer cylindrical latticed shells are summarized by the examples with different rise-span ratios.
引文
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[13]GB 50011—2001建筑抗震设计规范[S].北京:中国建筑工业出版社,2001(GB 50011—2001 Code for seismicdesign of buildings[S].Beijing:China Architecture&Building Press,2001(in Chinese))
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[15]翁大根,卢著辉,徐斌,等.黏滞阻尼器力学性能试验研究[J].世界地震工程,2002,18(4):30-34(WengDageng,Lu Zhuhui,Xu Bin,et al.The experimental studyon property of energy dissipation of viscous liquid damper[J].World Information on Earthquake Engineering,2002,18(4):30-34(in Chinese))
[2]Lopez G D,Soong TT.Efficiency of a simple approach todamper allocation in MDOF structures[J].Journal ofStructural Control,2002,9(4):19-30
[3]Gluck N,Reinhorn A M,Gluck J.Design of supplementaldampers for control of structures[J].Journal of StructuralEngineering,1996,122(12):1394-1399
[4]Takewaki I.Optimal damper placement for minimumtransfer functions[J].Earthquake Engineering andStructural Dynamics,1997,26(11):1113-1124
[5]冼巧玲,周福霖,成文山.框架结构消能支撑的减震优化方法[J].世界地震工程,1999,15(2):49-55(XianQiaoling,Zhou Fulin,Cheng Wenshan.Optimization ofenergy dissipation braces in frame structures[J].WorldInformation on Earthquake Engineering,1999,15(2):49-55(in Chinese))
[6]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(ZhouXingde,Peng Xuanmao.Study on optimal damper ofbuilding structures using real coded genetic algorithms[J].Chinese Journal of Computational Mechanics,2005,22(6):780-784(in Chinese))
[7]Chen G S,Robin J B,Salama M.Optimal placement ofactive/passive members in truss structures using simulatedannealing[J].AIAA Journal,1991,29(8):1327-1334
[8]Milman M H,Chu C C.Optimization methods for passivedamper placement and tuning[J].Journal of Guidance,Control,and Dynamics,1994,17(4):848-856
[9]Yan Y J,Yam L H.Optimal design of number andlocations of actuators in active vibration control of a spacetruss[J].Smart Materials and Structures,2002,11(4):496-503
[10]卢德君.结构振动主被动控制实验研究[D].哈尔滨:哈尔滨工业大学,2006(Lu Dejun.Experiment researchon active and passive control of structure[D].Harbin:Harbin Institute of Technology,2006(in Chinese))
[11]史治宇,罗绍湘,张令弥.结构破损定位的单元模态应变能变化率法[J].振动工程学报,1998,11(3):356-360(Shi Zhiyu,Luo Shaoxiang,Zhang Lingmi.Determination of structural damage location based onelemental modal strain energy change[J].Journal ofVibration Engineering,1998,11(3):356-360(inChinese))
[12]董石麟,钱若军.空间网格结构分析理论与计算方法[M].北京:中国建筑工业出版社,2000:96-99
[13]GB 50011—2001建筑抗震设计规范[S].北京:中国建筑工业出版社,2001(GB 50011—2001 Code for seismicdesign of buildings[S].Beijing:China Architecture&Building Press,2001(in Chinese))
[14]龙驭球,包世华.结构力学(下册)[M].北京:高等教育出版社,1996:190-191
[15]翁大根,卢著辉,徐斌,等.黏滞阻尼器力学性能试验研究[J].世界地震工程,2002,18(4):30-34(WengDageng,Lu Zhuhui,Xu Bin,et al.The experimental studyon property of energy dissipation of viscous liquid damper[J].World Information on Earthquake Engineering,2002,18(4):30-34(in Chinese))
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