非线性建筑物上的附属结构响应分析
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摘要
根据抗震规范设计的要求,在强烈地震作用下建筑结构会进入屈服阶段,对二次结构体系进行动力分析时需要考虑主体建筑结构的非线性。基于此,本文利用随机振动和等效线性化方法推导了由非线性主体结构和支撑于其上的附属结构所组成的二次结构体系的随机响应表达式,以此来分析了主体结构非线性对附属结构动力响应的影响,进而以附属结构的均方响应为研究指标,分析了主体结构非线性对附属结构最优位置的影响,并对多个附属结构的相互影响进行了研究,得到了一些有益的结论。
Based on the code for seismic design of building in China,primary systems usually yield before secondary systems' destruction under the severe earthquake loading in practice,so the non-linearization characteristic of primary systems usually plays an important role in the dynamic analysis for primary-secondary systems.Owing to this reason,the dynamic response expressions of primary-secondary systems are studied and proposed in this paper,which are based on the theory of random vibration and the equivalent linearization method.Then,the response expressions are used for explain the effect of nonlinearity of primary system on the response of secondary systems,while the response variance is adopted as the analysis index.In the numerical analysis,two simple and generic structures,which is 3-degree of freedom and 10 degree of freedom respectively,are used to study the response properties.Moreover,the optimal position of secondary systems represented by the minimum response variance,and the interaction between multiple secondary systems are also calculated and analyzed.In the end,some valuable conclusions are studied.
Based on the code for seismic design of building in China,primary systems usually yield before secondary systems' destruction under the severe earthquake loading in practice,so the non-linearization characteristic of primary systems usually plays an important role in the dynamic analysis for primary-secondary systems.Owing to this reason,the dynamic response expressions of primary-secondary systems are studied and proposed in this paper,which are based on the theory of random vibration and the equivalent linearization method.Then,the response expressions are used for explain the effect of nonlinearity of primary system on the response of secondary systems,while the response variance is adopted as the analysis index.In the numerical analysis,two simple and generic structures,which is 3-degree of freedom and 10 degree of freedom respectively,are used to study the response properties.Moreover,the optimal position of secondary systems represented by the minimum response variance,and the interaction between multiple secondary systems are also calculated and analyzed.In the end,some valuable conclusions are studied.
引文
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[2]闵书亮,孙峰,满振勇.附属结构地震反应的隔震方法[J].哈尔滨建筑工程学院学报,1993,26(4):19-26.(MIN Shu-liang,SUN Feng,MAN Zhen-yong.An isolation method for the earthquake responses ofsecondary structures[J].Journal of Harbin Archi-tecture and Civil Engineering Institute,1993,26(4):19-26.(in Chinese))
[3]朱海华.基于性能的隔震结构非结构构件抗震性能研究[D].北京:北京工业大学,2006.(ZHU Hai-hua.Performance-Based Seismic Design of NonstructuralElements on Base Isolated Building[D].Beijing:Bei-jing University of Technology,2006.(in Chinese))
[4]王歆玫,刘季.在双向水平地震作用下建筑楼层反应谱法[J].哈尔滨建筑工程学院学报,1992,25(2):24-34.(WANG Xin-mei,LIU Ji.A floor responsespectrum method of building subjected to bidirectionhorizontal earthquake excitation[J].Journal of Har-bin Architecture and Civil Engineering Institute,1992,25(2):24-34.(in Chinese))
[5]秦权,聂宇.非结构构件和设备的抗震设计和简化计算方法[J].建筑结构学报,2001,22(3):15-20.(QIN Quan,NIE Yu.Seismic design and simplifiedanalytical method of nonstructural components and e-quipment in buildings[J].Journal of BuildingStructures,2001,22(3):15-20.(in Chinese))
[6]张建霖,杨智春.随机输入条件下的楼层反应谱分析[J].西北工业大学学报,2003,21(6):650-653.(ZHANG Jian-lin,YANG Zhi-chun.A better analy-sis of floor response spectrum under random input forseismic design[J].Journal of Northwestern Poly-technical Universtiy,2003,21(6):650-653.(in Chi-nese))
[7]汪嘉春,傅激扬,才来中.试验堆主厂房楼板谱计算与比较[J].核动力工程,2001,22(4):308-312.(WANGJia-chun,FU Ji-yang,CAI Lai-zhong.Analysis andcomparing the dynamic response of test reactor mainworkshop[J].Nuclear Power Engineering,2001,22(4):308-312.(in Chinese))
[8]李忠献,陈岩,梁万顺,等.核电厂结构的楼层反应谱分析[J].福州大学学报,2005,33:62-67.(LIZhong-xian,CHEN Yan,LIANG Wan-shun,et al.Floor response spectrum under random input for seis-mic design[J].Journal of Northwestern Ploytechni-cal University,2005,33:62-67.(in Chinese))
[9]李忠献,李忠诚,沈望霞.核反应堆厂房结构楼层反应谱的敏感性分析[J].核动力工程,2005,26(1):44-50.(LI Zhong-xian,LI Zhong-cheng,SHEN Wang-xia.Sensitivity analysis for floor response spectra ofnuclear reactor buildings[J].Nuclear Power Engi-neering,2005,26(1):44-50.(in Chinese))
[10]荣峰,汪嘉春,何树延,等.CARR堆反应堆厂房土壤-结构相互作用与楼层反应谱分析[J].核动力工程,2006,27(5):19-23.(RONG Feng,WANG Jia-chun,HE Shu-yan,et al.Analysis of Soil-structureinteraction and floor response spectrum of reactorbuilding for China advanced research reactor[J].Nu-clear Power Engineering,2006,27(5):19-23.(inChinese))
[11]Lin J,Mahin S A.Seismic response of light subsys-tems on inelastic structures[J].Journal of Structur-al Engineering,1985,111:400-417.
[12]Igusa T.Response characteristics of inelastic 2-DOFprimary-secondary systems[J].Journal of Engineer-ing Mechanics,1990,116,1160-1174.
[13]Zhu W Q,Huang C D,Soong T T.Response and reli-ability of secondary systems in yielding structures[J].Probabilistic Engineering Mechanics,1994,9:145-155.
[14]Zhu W Q,Huang C D,Soong T T.Nonlinear Sto-chastic Response and Reliability of Secondary Sys-tems[J].Journal of Engineering Mechanics,1994,120(1):177-196.
[15]Adam C,Fotiu P A.Dynamic analysis of inelastic pri-mary-secondary systems[J].Engineering Structures,2000,22:58-71.
[16]Villaverde R.Simplified approach to account for non-linear effects in seismic analysis of nonstructural com-ponents[J].Seminar on Seismic Design,Retrofitand Performance of Non-Structural Components1998,ATC-29-1:187-200.
[17]Villaverde R.Simple method to estimate the seismicnonlinear response of nonstructural components inbuildings[J].Engineering Structures,2006,28:1209-1221.
[18]Singh M P,Chang R S,Suarez L E.Floor responsespectrum amplification due to yielding of supportingstructure[A].Proceedings of the 11th World Confer-ence on Earthquake Engineering[C].Acapulco,1996,Paper no.1444.
[19]Ioannis P,Feau C.Some aspects of floor spectra of1DOF nonlinear primary structures[J].EarthquakeEngineering and Structural Dynamics,2007,36:975-993.
[20]Wen Y K.Method for random vibration of hystereticsystems[J].Journal of Engineering Mechanics,1976,12:249-263.
[21]李鸿光,何旭,孟光.Bouc-Wen滞回系统动力学特性的仿真研究[J].系统仿真学报,2004,16(9):2009-2011.(LI Hong-guang,HE Xu,Meng-guang.Numerical simulation for dynamic characteristics of Bouc-wen hysteretic system[J].Journal of SystemSimulation,2004,16(9):2009-2011.(in Chinese))
[2]闵书亮,孙峰,满振勇.附属结构地震反应的隔震方法[J].哈尔滨建筑工程学院学报,1993,26(4):19-26.(MIN Shu-liang,SUN Feng,MAN Zhen-yong.An isolation method for the earthquake responses ofsecondary structures[J].Journal of Harbin Archi-tecture and Civil Engineering Institute,1993,26(4):19-26.(in Chinese))
[3]朱海华.基于性能的隔震结构非结构构件抗震性能研究[D].北京:北京工业大学,2006.(ZHU Hai-hua.Performance-Based Seismic Design of NonstructuralElements on Base Isolated Building[D].Beijing:Bei-jing University of Technology,2006.(in Chinese))
[4]王歆玫,刘季.在双向水平地震作用下建筑楼层反应谱法[J].哈尔滨建筑工程学院学报,1992,25(2):24-34.(WANG Xin-mei,LIU Ji.A floor responsespectrum method of building subjected to bidirectionhorizontal earthquake excitation[J].Journal of Har-bin Architecture and Civil Engineering Institute,1992,25(2):24-34.(in Chinese))
[5]秦权,聂宇.非结构构件和设备的抗震设计和简化计算方法[J].建筑结构学报,2001,22(3):15-20.(QIN Quan,NIE Yu.Seismic design and simplifiedanalytical method of nonstructural components and e-quipment in buildings[J].Journal of BuildingStructures,2001,22(3):15-20.(in Chinese))
[6]张建霖,杨智春.随机输入条件下的楼层反应谱分析[J].西北工业大学学报,2003,21(6):650-653.(ZHANG Jian-lin,YANG Zhi-chun.A better analy-sis of floor response spectrum under random input forseismic design[J].Journal of Northwestern Poly-technical Universtiy,2003,21(6):650-653.(in Chi-nese))
[7]汪嘉春,傅激扬,才来中.试验堆主厂房楼板谱计算与比较[J].核动力工程,2001,22(4):308-312.(WANGJia-chun,FU Ji-yang,CAI Lai-zhong.Analysis andcomparing the dynamic response of test reactor mainworkshop[J].Nuclear Power Engineering,2001,22(4):308-312.(in Chinese))
[8]李忠献,陈岩,梁万顺,等.核电厂结构的楼层反应谱分析[J].福州大学学报,2005,33:62-67.(LIZhong-xian,CHEN Yan,LIANG Wan-shun,et al.Floor response spectrum under random input for seis-mic design[J].Journal of Northwestern Ploytechni-cal University,2005,33:62-67.(in Chinese))
[9]李忠献,李忠诚,沈望霞.核反应堆厂房结构楼层反应谱的敏感性分析[J].核动力工程,2005,26(1):44-50.(LI Zhong-xian,LI Zhong-cheng,SHEN Wang-xia.Sensitivity analysis for floor response spectra ofnuclear reactor buildings[J].Nuclear Power Engi-neering,2005,26(1):44-50.(in Chinese))
[10]荣峰,汪嘉春,何树延,等.CARR堆反应堆厂房土壤-结构相互作用与楼层反应谱分析[J].核动力工程,2006,27(5):19-23.(RONG Feng,WANG Jia-chun,HE Shu-yan,et al.Analysis of Soil-structureinteraction and floor response spectrum of reactorbuilding for China advanced research reactor[J].Nu-clear Power Engineering,2006,27(5):19-23.(inChinese))
[11]Lin J,Mahin S A.Seismic response of light subsys-tems on inelastic structures[J].Journal of Structur-al Engineering,1985,111:400-417.
[12]Igusa T.Response characteristics of inelastic 2-DOFprimary-secondary systems[J].Journal of Engineer-ing Mechanics,1990,116,1160-1174.
[13]Zhu W Q,Huang C D,Soong T T.Response and reli-ability of secondary systems in yielding structures[J].Probabilistic Engineering Mechanics,1994,9:145-155.
[14]Zhu W Q,Huang C D,Soong T T.Nonlinear Sto-chastic Response and Reliability of Secondary Sys-tems[J].Journal of Engineering Mechanics,1994,120(1):177-196.
[15]Adam C,Fotiu P A.Dynamic analysis of inelastic pri-mary-secondary systems[J].Engineering Structures,2000,22:58-71.
[16]Villaverde R.Simplified approach to account for non-linear effects in seismic analysis of nonstructural com-ponents[J].Seminar on Seismic Design,Retrofitand Performance of Non-Structural Components1998,ATC-29-1:187-200.
[17]Villaverde R.Simple method to estimate the seismicnonlinear response of nonstructural components inbuildings[J].Engineering Structures,2006,28:1209-1221.
[18]Singh M P,Chang R S,Suarez L E.Floor responsespectrum amplification due to yielding of supportingstructure[A].Proceedings of the 11th World Confer-ence on Earthquake Engineering[C].Acapulco,1996,Paper no.1444.
[19]Ioannis P,Feau C.Some aspects of floor spectra of1DOF nonlinear primary structures[J].EarthquakeEngineering and Structural Dynamics,2007,36:975-993.
[20]Wen Y K.Method for random vibration of hystereticsystems[J].Journal of Engineering Mechanics,1976,12:249-263.
[21]李鸿光,何旭,孟光.Bouc-Wen滞回系统动力学特性的仿真研究[J].系统仿真学报,2004,16(9):2009-2011.(LI Hong-guang,HE Xu,Meng-guang.Numerical simulation for dynamic characteristics of Bouc-wen hysteretic system[J].Journal of SystemSimulation,2004,16(9):2009-2011.(in Chinese))
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