基于结构设计的基础隔震结构高宽比限值的研究
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摘要
本文研究了橡胶支座基础隔震结构的高宽比限值。研究基于保证隔震结构在强震中不倾覆的两个充分条件,一个是橡胶隔震支座不能产生拉应力,另一个是隔震支座压应力不超过容许值。本文推导了隔震结构高宽比限值的显式并给出了针对不同建筑类别、不同设防烈度、不同场地条件和不同隔震层阻尼比的高宽比限值。在支座的轴力计算中,还考虑了竖向地震作用和荷载的最不利组合。研究发现,当控制条件为支座不产生拉应力时,高宽比限值随隔震结构周期的增加而增加;当控制条件为支座压应力不超过容许值时,高宽比限值随隔震结构周期的增加而减小。因此,存在一个临界周期使高宽比限值取得极大值。研究还发现,存在一个最大的隔震结构周期使高宽比限值等于零或隔震层位移超过容许值。将隔震结构的周期与临界周期和最大隔震周期比较,就可以得到相应高宽比限值的表达式。最后,按照简单、安全的原则,将各种工况下的高宽比限值进行了归并,给出了高宽比限值的设计建议值。同时,还按设计规范提供的结构周期计算公式计算了隔震结构的高度限值。
The limit of height-width ratio of base-isolated structure with rubber bearings is investigated.Two sufficient conditions that could keep the base-isolated structure from overturning during strong earthquake are considered.One is that rubber bearings should not be subjected to tensile stress,and the other is that the compressive stress in rubber bearings should not exceed the allowable value.The derivation of limit ratio formulas are performed and the results are presented corresponding to different building categories,earthquake fortification intensities,site classifications,and damping ratios of isolated story.In the formulas for the axial force in rubber bearings,vertical seismic action and the most unfavorable load combinations are considered.It is found that,the limit ratio increases with the isolation period when it is confined by the first sufficient condition,and decreases when confined by the second one.So there exists a critical period,at which,the limit ratio reaches its maximum value.It is also found that there exists a maximum isolation period,at which,the limit ratio is zero or the horizontal displacement of the rubber bearing exceeds the allowable value.By comparing the isolation period with the critical and maximum periods,the limit ratio can be obtained by using the corresponding formulas.In conformity to the principle of simplicity and safety,the calculated limit ratios were summarized to obtain the suggested values.The limit height of base-isolated structures are also calculated by using the period formulas of non-isolated structures as suggested in the design code.
The limit of height-width ratio of base-isolated structure with rubber bearings is investigated.Two sufficient conditions that could keep the base-isolated structure from overturning during strong earthquake are considered.One is that rubber bearings should not be subjected to tensile stress,and the other is that the compressive stress in rubber bearings should not exceed the allowable value.The derivation of limit ratio formulas are performed and the results are presented corresponding to different building categories,earthquake fortification intensities,site classifications,and damping ratios of isolated story.In the formulas for the axial force in rubber bearings,vertical seismic action and the most unfavorable load combinations are considered.It is found that,the limit ratio increases with the isolation period when it is confined by the first sufficient condition,and decreases when confined by the second one.So there exists a critical period,at which,the limit ratio reaches its maximum value.It is also found that there exists a maximum isolation period,at which,the limit ratio is zero or the horizontal displacement of the rubber bearing exceeds the allowable value.By comparing the isolation period with the critical and maximum periods,the limit ratio can be obtained by using the corresponding formulas.In conformity to the principle of simplicity and safety,the calculated limit ratios were summarized to obtain the suggested values.The limit height of base-isolated structures are also calculated by using the period formulas of non-isolated structures as suggested in the design code.
引文
[1]GB50011-2001,建筑结构抗震设计规范[S](GB50011-2001,Code for seismic design of buildings[S](in chinese))
[2]李宏男,王苏岩,贾俊辉.采用基础摩擦隔震房屋高宽比限值的研究[J].地震工程与工程振动,1997,17(3):73-76(Li Hongnan,Wang Suyan,Jia Junhui.A Study onlimit of ratio of height to width for sliding-type base isolation masonry building[J].Earthquake Engineering and Engi-neering Vibration,1997,17(3):73-76(in chinese))
[3]熊仲明,王清敏,丰定国,等.多层基础滑移隔震房屋滑动抗倾覆稳定性判定[J].西安建筑科技大学学报,1998,30(3):288-290(Xiong Zhongming,WangQingmin,Feng Dingguo,et al.Discussion on the steady of anti overturning on multistory structure with base isolation[J].Journal of Xi′an University of Architecture & technology,1998,30(3):288-290(in chinese))
[4]刘文光,杨巧荣,周福霖,等.大高宽比隔震结构地震反应的实用分析方法[J].地震工程与工程振动,2004,24(4):115-121(Liu Wenguang,Yang Qiaorong,ZhouFulin.Simplified method of earthquake response analysis forslender isolated structure[J].Earthquake Engineering and Engineering Vibration,2004,24(4):115-121(in chinese))
[5]王铁英,王艳武,王焕定,等.钢铅组合耗能器力学性能试验研究[J].工程力学,2005,22(2):149-154(Wang Tieying,Wang Yanwu,Wang Huanding,et al.Experimentalstudy of mechanical properties of steel-lead mixed dampers[J].Engineering Mechanics,2005,22(2):149-154(inchinese))
[6]王伟刚,盛宏玉.隔震结构考虑动力影响的抗倾覆研究[J].合肥工业大学学报,2005,28(1):68-70(Wang Weigang,Sheng Hongyu.Study on the overturning of thebase-isolated structures in consideration of dynamic effectsof earthquake[J].Journal of Hefei University of Technology(Natural Science),2005,28(1):68-70(in chinese))
[7]吴香香,孙丽,李宏男.竖向地震动对隔震结构高宽比限值的影响分析[J].沈阳建筑工程学院学报,2002,18(2):81-84(Wu Xiangxiang,Sun Li,Li Hongnan.Analysis of effect of vertical motion on the limit ratio ofheight to width of base isolated structures[J].Journal of Shenyang Architectural and Civil Engineering Institute,2002,18(2):81-84(in chinese))
[8]李宏男,吴香香.橡胶垫支座隔震结构高宽比限值研究[J].建筑结构学报,2003,24(2):14-19(Li Hongnan,Wu Xiangxiang.Study on limit of height to width ratio forbase isolated buildings with rubber bearings underearthquake[J].Journal of Building Structures,2003,24(2):14-19(in chinese))
[9]吴香香,李宏男.竖向地震动对基础隔震结构高宽比限值的影响[J].同济大学学报,2004,32(1):10-14(WuXiangxiang,Li Hongnan.Effect of vertical motion on limitratio of height to width for isolated structure[J].Journal of Tongji University,2004,32(1):10-14(in chinese)
[10]谷伟,刘斌.橡胶垫基础隔震结构考虑竖向地震作用高宽比限制研究[J].工业建筑,2004,34(10):17-20(GuWei,Liu Bin.Research on the limit ratio of height to widthfor base-isolated structure with the rubber bearingsconsidering the vertical earthquake action[J].Industrial Construction,2004,34(10):17-20(in chinese))
[11]CECS126:2004,叠层橡胶支座隔震技术规程[S],中国工程建设标准化协会标准.(CECS126:2004,Technical Specification for seismic-isolation with laminated rubberbearing isolators[S],China Association for EngineeringConstruction Standardization(in chinese))
[12]王曙光,刘伟庆,冯陈.宿迁市府苑小区某商住楼隔震设计[J].世界地震工程,2001,17(4):139-142(Wang Shuguang,Liu Weiqing,Feng Chen.Isolation design of acommerce-residence building at Fuyuan Residential Area inSuqian City[J].World Information on Earthquake Engineering,2001,17(4):139-142(in chinese))
[13]刘伟庆,董军,王曙光,等.宿迁市文体综合馆基础隔震设计[J].建筑结构学报,2003,24(2):20-24(Liu Weiqing,Dong Jun,Wang Shuguang,et al.Design of baseisolated structure of Suqian City Gymnasium[J].Journal ofBuilding Structures,2003,24(2):20-24(in chinese))
[14]陈华明,刘伟庆,孙雪梅.基础隔震住宅楼方案的应用[J].工业建筑,2004,34(11):94-97(Chen Huaming,Liu Weiqing,Sun Xuemei.Shock isolationdesign of foundation for a brickmasonry residence building[J].Industrial Construction,2004,34(11):94-97(inchinese))
[15]魏陆顺,刘文光,周福霖,等.一座空旷砖混厂房结构的隔震加固[J].世界地震工程,2003,19(3):123-127(Wei Lushun,Liu Wenguang,Zhou Fulin,et al.Application of base isolation to reinforcement for a single-story spacious buildin[g J].World Information on Earthquake Engineering,2003,19(3):123-127(in chinese))
[16]祁皑,范宏伟.基础隔震结构高宽比限值的研究[J].建筑结构学报,2004,25(6):52-58(Qi Ai,Fan Hongwei.Research on the height-width ratio of base isolated structure[J].Journal of Building Structures,2004,25(6):52-58(in chinese))
[2]李宏男,王苏岩,贾俊辉.采用基础摩擦隔震房屋高宽比限值的研究[J].地震工程与工程振动,1997,17(3):73-76(Li Hongnan,Wang Suyan,Jia Junhui.A Study onlimit of ratio of height to width for sliding-type base isolation masonry building[J].Earthquake Engineering and Engi-neering Vibration,1997,17(3):73-76(in chinese))
[3]熊仲明,王清敏,丰定国,等.多层基础滑移隔震房屋滑动抗倾覆稳定性判定[J].西安建筑科技大学学报,1998,30(3):288-290(Xiong Zhongming,WangQingmin,Feng Dingguo,et al.Discussion on the steady of anti overturning on multistory structure with base isolation[J].Journal of Xi′an University of Architecture & technology,1998,30(3):288-290(in chinese))
[4]刘文光,杨巧荣,周福霖,等.大高宽比隔震结构地震反应的实用分析方法[J].地震工程与工程振动,2004,24(4):115-121(Liu Wenguang,Yang Qiaorong,ZhouFulin.Simplified method of earthquake response analysis forslender isolated structure[J].Earthquake Engineering and Engineering Vibration,2004,24(4):115-121(in chinese))
[5]王铁英,王艳武,王焕定,等.钢铅组合耗能器力学性能试验研究[J].工程力学,2005,22(2):149-154(Wang Tieying,Wang Yanwu,Wang Huanding,et al.Experimentalstudy of mechanical properties of steel-lead mixed dampers[J].Engineering Mechanics,2005,22(2):149-154(inchinese))
[6]王伟刚,盛宏玉.隔震结构考虑动力影响的抗倾覆研究[J].合肥工业大学学报,2005,28(1):68-70(Wang Weigang,Sheng Hongyu.Study on the overturning of thebase-isolated structures in consideration of dynamic effectsof earthquake[J].Journal of Hefei University of Technology(Natural Science),2005,28(1):68-70(in chinese))
[7]吴香香,孙丽,李宏男.竖向地震动对隔震结构高宽比限值的影响分析[J].沈阳建筑工程学院学报,2002,18(2):81-84(Wu Xiangxiang,Sun Li,Li Hongnan.Analysis of effect of vertical motion on the limit ratio ofheight to width of base isolated structures[J].Journal of Shenyang Architectural and Civil Engineering Institute,2002,18(2):81-84(in chinese))
[8]李宏男,吴香香.橡胶垫支座隔震结构高宽比限值研究[J].建筑结构学报,2003,24(2):14-19(Li Hongnan,Wu Xiangxiang.Study on limit of height to width ratio forbase isolated buildings with rubber bearings underearthquake[J].Journal of Building Structures,2003,24(2):14-19(in chinese))
[9]吴香香,李宏男.竖向地震动对基础隔震结构高宽比限值的影响[J].同济大学学报,2004,32(1):10-14(WuXiangxiang,Li Hongnan.Effect of vertical motion on limitratio of height to width for isolated structure[J].Journal of Tongji University,2004,32(1):10-14(in chinese)
[10]谷伟,刘斌.橡胶垫基础隔震结构考虑竖向地震作用高宽比限制研究[J].工业建筑,2004,34(10):17-20(GuWei,Liu Bin.Research on the limit ratio of height to widthfor base-isolated structure with the rubber bearingsconsidering the vertical earthquake action[J].Industrial Construction,2004,34(10):17-20(in chinese))
[11]CECS126:2004,叠层橡胶支座隔震技术规程[S],中国工程建设标准化协会标准.(CECS126:2004,Technical Specification for seismic-isolation with laminated rubberbearing isolators[S],China Association for EngineeringConstruction Standardization(in chinese))
[12]王曙光,刘伟庆,冯陈.宿迁市府苑小区某商住楼隔震设计[J].世界地震工程,2001,17(4):139-142(Wang Shuguang,Liu Weiqing,Feng Chen.Isolation design of acommerce-residence building at Fuyuan Residential Area inSuqian City[J].World Information on Earthquake Engineering,2001,17(4):139-142(in chinese))
[13]刘伟庆,董军,王曙光,等.宿迁市文体综合馆基础隔震设计[J].建筑结构学报,2003,24(2):20-24(Liu Weiqing,Dong Jun,Wang Shuguang,et al.Design of baseisolated structure of Suqian City Gymnasium[J].Journal ofBuilding Structures,2003,24(2):20-24(in chinese))
[14]陈华明,刘伟庆,孙雪梅.基础隔震住宅楼方案的应用[J].工业建筑,2004,34(11):94-97(Chen Huaming,Liu Weiqing,Sun Xuemei.Shock isolationdesign of foundation for a brickmasonry residence building[J].Industrial Construction,2004,34(11):94-97(inchinese))
[15]魏陆顺,刘文光,周福霖,等.一座空旷砖混厂房结构的隔震加固[J].世界地震工程,2003,19(3):123-127(Wei Lushun,Liu Wenguang,Zhou Fulin,et al.Application of base isolation to reinforcement for a single-story spacious buildin[g J].World Information on Earthquake Engineering,2003,19(3):123-127(in chinese))
[16]祁皑,范宏伟.基础隔震结构高宽比限值的研究[J].建筑结构学报,2004,25(6):52-58(Qi Ai,Fan Hongwei.Research on the height-width ratio of base isolated structure[J].Journal of Building Structures,2004,25(6):52-58(in chinese))
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