串联隔震系统水平刚度及对结构地震响应影响
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摘要
针对工程界比较关注的柱串联隔震系统的水平刚度问题,建立了水平刚度计算公式,探讨了压应力对水平刚度及结构地震响应的影响。首先建立了单个叠层橡胶支座的场矩阵;其次根据传递矩阵法建立了柱串联隔震系统的场矩阵,根据所得场矩阵推导出串联隔震系统顶部状态变量与任意截面内力和位移之间的关系,进而推导出串联隔震系统的水平刚度计算公式,避免了繁琐的力学推导过程;最后探讨了压应力对水平刚度及结构地震响应的影响。结果表明水平刚度随着压应力的增大而减少,近断层附近建议采用隔震支座直接固定在基础上的隔震方案。
The calculation formula for horizontal stiffness of laminated rubber bearing serially connected with column,in concerned engineering field,was put forward and the compressive stress influences on horizontal stiffness and dynamic response of isolated structure were investigated.The field matrix of single laminated rubber bearing was provided and then the field matrix of laminated rubber bearing serially connected with column was established.The relation between internal force and displacement at arbitrary cross section and the state variables at the top of bearing were obtained and the horizontal stiffness expression based on transfer matrix method were derived,avoiding tedious mechanical derivation.Finally,compressive stress influences on horizontal stiffness and seismic response of isolated structure were investigated.The results show that the horizontal stiffness decreases with the rise of compressive stress.The isolation scheme consisting of laminated rubber bearings directly fixed on foundation in the neighborhood of fault area was suggested.
The calculation formula for horizontal stiffness of laminated rubber bearing serially connected with column,in concerned engineering field,was put forward and the compressive stress influences on horizontal stiffness and dynamic response of isolated structure were investigated.The field matrix of single laminated rubber bearing was provided and then the field matrix of laminated rubber bearing serially connected with column was established.The relation between internal force and displacement at arbitrary cross section and the state variables at the top of bearing were obtained and the horizontal stiffness expression based on transfer matrix method were derived,avoiding tedious mechanical derivation.Finally,compressive stress influences on horizontal stiffness and seismic response of isolated structure were investigated.The results show that the horizontal stiffness decreases with the rise of compressive stress.The isolation scheme consisting of laminated rubber bearings directly fixed on foundation in the neighborhood of fault area was suggested.
引文
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[8]Liu W G,He W F,Feng D M,et al.Vertical stiffness anddeformation analysis models of rubber isolators in compressionand compression-shear states[J].Journal of EngineeringMechanics,2009,135(9):945-952.
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[11]周锡元,韩淼,曾德民,等.橡胶支座与R/C柱串联隔震系统水平刚度系数[J].振动工程学报,1999,12(2):157-165.
[12]周锡元,韩淼,曾德民,等.组合橡胶支座及橡胶支座与住串联系统的水平刚度计算方法[J].地震工程与工程振动,1999,19(4):67-75.
[13]李恒,黄江,罗等贵.竖向地震动加速度峰值统计特性[C].纪念汶川地震一周年-地震工程与减轻地震灾害研讨会论文集.北京:地震出版社,2009:150-156.
[14]刘庆潭.材料力学教程[M].北京:机械工业出版社,2006:313-321.
[15]周福霖.工程结构减震控制[M].北京:地震出版社,1997:85-86.
[16]杜永峰,李慧,Spencer B F J等.非比例阻尼隔震结构地震响应的实振型分解法[J].工程力学,2003,20(4):24-32.
[2]Gent A N.Elastic stability of rubber compression springs[J].Journal of Engineering Mechanics,1964,6(4):318-326.
[3]Koh C G,Kelly J M.A simple mechanical model forelectrometric bearings used in base isolation[J].Journal ofEngineering Mechanics,1988,30(12):933-943.
[4]Nagarajaiah S,Ferrell K.Stability of electrometric seismicisolation bearings[J].Journal of Strutural Engineering,1999,125(9):946-954.
[5]Buckle I,Nagarajaiah S,Ferrell K.Stability of electrometricisolation bearings:Experimental study[J].Journal ofStrutural Engineering,2002,128(1):3-11.
[6]Kelly J M.Tension buckling in multilayer elastomericbearings[J].Journal of Engineering Mechanics,2003,129(12):1363-1368.
[7]Warm G P,Whittaker A,Constantinou M.Vertical stiffness ofelectrometric and lead-rubber seismic isolation bearings[J].Journal of Strutural Engineering,2007,133(9):1227-1236.
[8]Liu W G,He W F,Feng D M,et al.Vertical stiffness anddeformation analysis models of rubber isolators in compressionand compression-shear states[J].Journal of EngineeringMechanics,2009,135(9):945-952.
[9]Yang Q R,Liu W G,He W F,et al.Tensile stiffness anddeformation model of rubber isolators in tension and tension-shear states[J].Journal of Engineering Mechanics,2010,136(4):429-437.
[10]王建强,丁永刚.上部结构(偏心)对基础滑移隔震结构平-扭耦联地震反应的影响[J].振动与冲击,2009,28(12):96-100.
[11]周锡元,韩淼,曾德民,等.橡胶支座与R/C柱串联隔震系统水平刚度系数[J].振动工程学报,1999,12(2):157-165.
[12]周锡元,韩淼,曾德民,等.组合橡胶支座及橡胶支座与住串联系统的水平刚度计算方法[J].地震工程与工程振动,1999,19(4):67-75.
[13]李恒,黄江,罗等贵.竖向地震动加速度峰值统计特性[C].纪念汶川地震一周年-地震工程与减轻地震灾害研讨会论文集.北京:地震出版社,2009:150-156.
[14]刘庆潭.材料力学教程[M].北京:机械工业出版社,2006:313-321.
[15]周福霖.工程结构减震控制[M].北京:地震出版社,1997:85-86.
[16]杜永峰,李慧,Spencer B F J等.非比例阻尼隔震结构地震响应的实振型分解法[J].工程力学,2003,20(4):24-32.
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