加连梁柱串联隔震系统的弹性屈曲
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摘要
为了解决工程界比较关注的隔震建筑串联隔震系统的稳定性问题,建立基于传递矩阵法的临界荷载求解方法。该方法首先建立稳定性分析单个支座的场矩阵和连梁等效成抗弯弹簧的点矩阵;其次根据传递矩阵法建立串联隔震系统稳定性分析的特征矩阵,并根据所得特征矩阵建立其临界荷载的控制方程,该方法避免了繁琐的力学推导过程;最后通过计算两种不同型号的串联隔震系统的临界荷载和探讨参数变化对柱串联隔震系统稳定性的影响。研究结果表明:加连梁对提高柱串联隔震体系临界荷载不明显,建议隔震建筑下部结构应优先选用地下室悬臂柱方案。
To solve the stability of series seismic isolation system connected with column and coupling beam,which concerned engineering field,the critical load governing equation based on transfer matrix method was established.First,field matrix of stability on single laminated rubber bearing and point matrix of stability on coupling beam were established;Secondly,characteristic matrix of the stability on series seismic isolation system and the stability governing equation based on the characteristic matrix were established,which avoided tedious mechanical derivation;Finally,the stability of two kinds of series seismic isolation system using semi-analytic method was calculated,and influence of parameters variation on the stability of series seismic isolation system was investigated.The results show that it is not obvious for the added coupling beam to improve the two columns in series of critical load of the isolation system and the basement cantilever column scheme should be preferred in the lower part of the structure of the isolated building.
To solve the stability of series seismic isolation system connected with column and coupling beam,which concerned engineering field,the critical load governing equation based on transfer matrix method was established.First,field matrix of stability on single laminated rubber bearing and point matrix of stability on coupling beam were established;Secondly,characteristic matrix of the stability on series seismic isolation system and the stability governing equation based on the characteristic matrix were established,which avoided tedious mechanical derivation;Finally,the stability of two kinds of series seismic isolation system using semi-analytic method was calculated,and influence of parameters variation on the stability of series seismic isolation system was investigated.The results show that it is not obvious for the added coupling beam to improve the two columns in series of critical load of the isolation system and the basement cantilever column scheme should be preferred in the lower part of the structure of the isolated building.
引文
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[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 for electrometric bearings used in base isolation[J].Journal of Engineering Mechanics,1988,30(12):933-943.
[4]Nagarajaiah S,Ferrell K.Stability of electrometric seismic isolation bearings[J].Journal of Structural Engineering,1999,125(9):946-954.
[5]Buckle I,Nagarajaiah S,Ferrell K.Stability of electrometric isolation bearings:Experimental study[J].Journal of Structural Engineering,2002,128(1):3-11.
[6]Kelly J M.Tension buckling in multilayer elastomeric bearings[J].Journal of Engineering Mechanics,2003,129(12):1363-1368.
[7]Warm G P,Whittaker A,Constantinou M.Vertical stiffness of electrometric and lead-rubber seismic isolation bearings[J].Journal of Structural Engineering,2007,133(9):1227-1236.
[8]Liu W G,He W F,Feng D M,et al.Vertical stiffness and deformation analysis models of rubber isolators in compression and compression-shear states[J].Journal of Engineering Mechanics,2009,135(9):945-952.
[9]Yang Q R,Liu W G,He W F,et al.Tensile stiffness and deformation model of rubber isolators in tension and tension-shear states[J].Journal of Engineering Mechanics,2010,136(4):429-437.
[10]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.ZHOU Xi-yuan,HAN Miao,ZENG De-min,et al.Horizontal rigidity coefficient of the serial system of rubber bearing with column[J].Journal of Vibration Engineering,1999,12(2):157-165.
[11]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.ZHOU Xi-yuan,HAN Miao,ZENG De-min,et al.Calculation method of lateral stiffness of combined rubber bearing and serial system of bearing with columns[J].Earthquake Engineering and Engineering Vibration,1999,19(4):67-75.
[12]刘庆潭.材料力学教程[M].北京:机械工业出版社,2006:313-321.LIU Qing-tan.Course of material mechanics[M].Beijing:China Machine Press,2006:313-321.
[13]王仕统.结构稳定[M].广州:华南理工大学出版社,1997:102-108.WANG Shi-tong.Structural stability[M].Guangzhou:South China University of Technology Press,1997:102-108.
[14]胡海昌.弹性力学的变分原理及其应用[M].北京:科学出版社,1982:139-144.HU Hai-chang.The variational principles in theory of elasticity and its application[M].Beijing:Science Press,1982:139-144.
[15]周福霖.工程结构减震控制[M].北京:地震出版社,1997:85-86.ZHOU Fu-lin.Structure vibration control[M].Beijing:Earthquake Publishing House,1997:85-86.
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