粘滞和粘弹性阻尼耗能结构的随机风振响应与等效静态风荷载取值
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摘要
为获得耗能结构的随机风振响应的等效阻尼和等效静态设计风荷载的分析方法,本文进行了如下研究工作:
1、运用频率响应法,分析广义粘滞和Maxwell粘弹性阻尼器耗能结构的频率响应特性,进而求得耗能结构基于Davenport风谱的风振响应和等效静态风荷载取值的解析解。
2、运用随机平均法,分析了带支撑一般积分型模型、一般微分模型、一般分数导数模型粘滞和粘弹性阻尼器耗能结构基于Davenport风谱单振型和多振型的随机风振响应和等效静态设计风荷载的近似解析解;并基于与随机平均分析完全相同的等效准则,建立了耗能结构各振型的等效阻尼比,使耗能结构抗风设计化为非耗能常规结构的抗风设计。
The analytical solution of the equivalent damping rate and the equivalent static design wind load of the energy dissipation structure is obtained. The major work of this thesis is as following:
1. The frequency response analysis method is apllied to analyse the frequency response characteristic of the response of the random wind-induce vibration based on Davenport spect- rum of the structure with Maxwell viscous and viscoelastic dampers, and then the analytical solution of the response of the random wind-induce vibration and the equivalent static design wind load is gained.
2. The response of the random wind-induce vibration based on Davenport spectrum of the energy dissipation structure with viscous and viscoelastic dampers is researched by the stochastic averaging method. Damper models include general integral model, general differ- ential model and general fractional derivative model. And by the stochastic averaging method and the equivalent criterion of strochastic averaging analysis, the equivalent damping rate of the structure is obtained, which transfered the energy dissipation structures with dampers into ordinary structures.
1、运用频率响应法,分析广义粘滞和Maxwell粘弹性阻尼器耗能结构的频率响应特性,进而求得耗能结构基于Davenport风谱的风振响应和等效静态风荷载取值的解析解。
2、运用随机平均法,分析了带支撑一般积分型模型、一般微分模型、一般分数导数模型粘滞和粘弹性阻尼器耗能结构基于Davenport风谱单振型和多振型的随机风振响应和等效静态设计风荷载的近似解析解;并基于与随机平均分析完全相同的等效准则,建立了耗能结构各振型的等效阻尼比,使耗能结构抗风设计化为非耗能常规结构的抗风设计。
The analytical solution of the equivalent damping rate and the equivalent static design wind load of the energy dissipation structure is obtained. The major work of this thesis is as following:
1. The frequency response analysis method is apllied to analyse the frequency response characteristic of the response of the random wind-induce vibration based on Davenport spect- rum of the structure with Maxwell viscous and viscoelastic dampers, and then the analytical solution of the response of the random wind-induce vibration and the equivalent static design wind load is gained.
2. The response of the random wind-induce vibration based on Davenport spectrum of the energy dissipation structure with viscous and viscoelastic dampers is researched by the stochastic averaging method. Damper models include general integral model, general differ- ential model and general fractional derivative model. And by the stochastic averaging method and the equivalent criterion of strochastic averaging analysis, the equivalent damping rate of the structure is obtained, which transfered the energy dissipation structures with dampers into ordinary structures.
引文
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[3]包世华,张铜生.清华大学出版社[M].北京:高层建筑结构设计和计算(上册),2005:50-53.
[4]张相庭.结构风工程--理论规范实践[M].中国建筑工业出版社, 2006.
[5]黄本才.结构抗风分析原理及应用[M].上海:同济大学出版社。龙旭结构速度相关型阻尼减振体系抗振分析、设计与试验研究[D].哈尔滨工业大学, 2004.
[6] (美) J·T·P·Yao . Concept of Structure Contr ol[ J ]. ASCE, Journal of the Structure Division . 1972, 98: 1567– 1574.
[7]李创第,线性与非线性随机过程结构时变可靠度理论及其在高层建筑玻璃幕墙非线性抗风抗震设计中的应用,武汉工业大学博士论文,武汉,1999;
[8]李桂青,曹宏,李秋胜,霍达,结构动力可靠性理论及其应用,地震出版社,北京,1993;
[9]王肇民,高耸结构振动控制,上海:同济大学出版社, 1996.9;
[10]李宏男等,结构振动与控制,中国建筑出版社,北京,2005;
[11] Maria Q.Feng,Associate Member,ASCE,and Akira Mita,Member, ASCE ,VIBRATION CONTROL OF TALL BUILINGS USING MEGA SUBCONFIGURATION, JOURNAL OF ENGINEERING MECHANICS, OCTOBER OF 1995;
[12]吕西林。结构主动控制和混合控制技术的新发展。世界地震工程,13卷2期,1997.6;
[13] VJ.Modi,F.Welt, Damping of wind induced oscillation through liquids lothing, Joumal of Wind Engineering and Industrial Aerodynamics, 1988,30(1):85～94
[14]王光远,高耸结构风振的控制,石油建筑设计,1981,No.2;
[15]蔡丹绎,南京电视塔风振控制工程的实验研究,东南大学博士学位论文,1998.9;
[16]张敏政,利用水箱减振的结构控制研究,地震工程与工程振动,1993, No.1;
[17]李宏男,高层建筑利用悬吊质量摆的减震研究,地震工程与工程振动,1995, No.4;
[18]李桂青等,结构控制理论及其应用,武汉工业大学出版社,1991;
[19]李桂青等,用质量泵控制结构的鞭梢效应,地震工程与工程振动,1987, No.4;
[20]王肇民,调谐液体阻尼器对高耸结构的振动控制研究,第十届全国高耸结构学术会议论文集,1990;
[21]王肇民,电视塔结构TMD风振控制研究与设计,建筑结构学报,1993,Vol.15, No.4;
[22]王肇民,北海电视塔多点多振型控制,工程力学(增刊),1995;
[23]欧进萍等,被动耗能减振系统的研究与应用发展,地震工程与工程振动,1996,No.3;
[24]欧进萍等,组合钢板耗能器一一种新型耗能减震装置,地震地震工程与工程振动,1997,No.1;
[25]程文攘等,南京电视塔风振控制,土木工程学报,1993, 26 (4); 14-20;
[26]蔡丹绎,李爱群,程文壤,南京电视塔风振主动控制系统设计,东南大学学报,1999, No. 4A,119～123 ;
[27]程文壤等,宿迁市交通大厦采用粘弹性阻尼器的减震设计与研究,建筑结构学报,2000.3;
[28]叶正强,李爱群等,采用粘滞流体阻尼器的工程结构减振设计研究,建筑结构学报, 2001,No.4;
[29] Li aiqun and Zhang zhiqiang, Wind Vibration Control and its Application on Steel Tower of a Tall Reinforced Concrete Building, Seventh International Symposium onStructural Engineering for Young Exports, Tianjin, China, 2002,August 28-31;
[30]何玉敖,李忠献,电视塔结构地震响应的最优控制,建筑结构学报,1990,No.l,;
[31]李忠献等,高层建筑地震反应的优化阻尼器控制,建筑结构学报, 1994,No.4;
[32]周福霖,隔震消能减震和结构控制技术的发展和应用(上、下),世界地震工程,1989 (4), 1990(1);
[33]唐家祥等,建筑结构基础隔震,华中理工大学出版社,1993;
[34] Park, S.W. Analytical modeling of viscoelastic dampers for structural and vibration control [J]. International Journal of Solids and Structures,2001, 52: 8065~8092.
[35]汪大洋,周云,王烨烨等.粘滞阻尼减震结构的研究与应用进展[J].工程抗震与加固改造,2006,28(4):21-31.
[36]戴国莹,王亚勇等.房屋建筑抗震设计[M].北京:中国建筑工业出版社,2005:331-339.
[37]滕军.结构振动控制的理论、技术和方法[M].北京:科学出版社,2009:10-50.
[38]朱位秋.非线性随机振动理论的近期发展[J].力学进展,1994,24(2):163~172.
[39] Zhu, W.Q. Recent developments and application of the seochastic averaging method in random vibration [J]. Applied Mechanics Reviews, 1996, 49(10): 72~80.
[40] Zhu, W.Q, Cai, G. Q. Nonlinear Strochastic dynamics: a survey of recent development [J]. Acta Mechanics Siuia, 2002, 18(6): 551~566.
[41] Zhu, W.Q. Nonlinear strochastic dynamics and control in Hamiltanian formulation [J]. Applied Mechanics Reviews, 2006, 59(6): 230~248.
[42] Housner.G.W, et al. Structural control: Past, present and future [J]. Journal of Engineering Mechanics , ASCE, 1999,123(9): 889~905.
[43] Soong, T.T, Dargush, G.F. Passive energy dissipation systems in structural engineering. England: John Wiley and Sons Ltd,1997.
[44]周云.耗能减震加固技术与设计方法[M].北京:科学出版社,2006.
[45]瞿伟廉.高层建筑和高耸结构的风振控制设计[M].武汉:武汉测绘科技大学出版社,1991.
[46]欧进萍,吴斌,龙旭.耗能减振结构的抗震设计方法[J].地震工程与工程振动,1998,18(2):98~107
[47]李创第,葛新广.带五种被动减振器的高层建筑基于Davewport谱随机风振响应的解析解法[J].工程力学,2009,33(4):151~152.
[48]李创第,黄天立. TMD控制优化设计与振动台试验研究[J].土木工程学报,2006,33(7):19~25
[49]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998.
[50]欧进萍,吴斌,龙旭.消能减震结构的设计,见《建筑抗震设计规范》GB 57011—2001背景材料(戴国莹、王亚勇主编).北京:中国建筑出版社,2005;323~330.
[51] Chang.K.C et al. Effect of ambient temperature on viscoelastically damped structures [J]. Journal of Structural Engineering, ASCE, 1992, 118: 1955~1973.
[52] Zambrano, A, et al. Modal coupling and accuracy of Modal Strain Energy method[J]. Journal of Engineering Mechanics, ASCE, 1996, 122: 603~612.
[53] Tsai.M.H, Chang, K.C. A study of the Modal Strain Energy method for viscoelastically damped structures [J]. Journal of the Chinese Institute of Engineerings, 2001, 24: 311~320.
[54]周云.粘弹性阻尼减震结构设计[M].武汉:武汉理工大学出版社,2006.
[55] Inaudi, J.A. et al. Modal equation of linear struetures with viscoelastic dampers [J]. Earthquake Engineering and Structural Dynamics, 1995, 24: 145~151.
[56] Palmeri, A, et al. Effects of viscoelastic memory on the buffeting response of tall buildings [J]. Wind and Structures, 2004, 7: 89~106.
[57] Palmeri, A, et al. Random vibration of systems with viscoelastic memory [J]. Journal of Engineering Mechanics, ASCE, 2004, 130: 1052~1061.
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