钢板剪力墙结构基本自振周期简化计算研究
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摘要
本文针对钢板剪力墙结构自振周期缺乏研究的现状,将钢板剪力墙简化为Timoshenko梁,提出了考虑周边框架影响的钢板剪力墙等效抗剪刚度计算的方法,然后根据Southwell-Dunkerley理论,给出了钢板剪力墙结构基本自振周期的简化计算公式。然后,通过56个算例比较分析了本文公式计算结果与有限元计算结果发现:本文公式计算结果与有限元结果之比的平均值为1.015,标准差为0.049,说明本文公式具有足够的可靠性。接着,又对结构高度、均布质量、等效抗剪、抗弯刚度、钢板的高厚比、高宽比等参数进行了分析,分析结果表明:随着结构高度与均布质量开方的乘积增大,结构的基本自振周期增长;层数相同时,随着等效抗剪刚度、抗弯刚度的增大,周期有减小的趋势;层数相同时,随着钢板高厚比与高宽比乘积的增大,周期增长。
Due to the lack of the research on fundamental natural periods for steel plate shear wall structures(SPSW),the SPSW is simplified as a Timoshenko's beam and the formula of equivalent shear stiffness of SPSW,which includes the effect of adjacent frame columns,is put forward.Then based on Southwell-Dunkerley approximation,the simplified calculating method of natural periods for SPSW structures can be obtained.By 56 cases,the results of the simplified calculating method are compared with those of finite element analysis and the results show that average value,which is the period normalized by the period from FE analysis,is 1.015 and the standard deviation is 0.049.The simplified calculating method is reliable enough.Moreover,the parameters including height,unity mass,equivalent shear stiffness and flexural stiffness,ratio of height to width of steel plate,ratio of height to thickness,etc are analyzed.The results show that with the increasing of the product of height and the square root of unity mass,the fundamental natural period will increase;with the increasing of equivalent shear stiffness and flexural stiffness,the fundamental natural period will tend to decrease if the number of story is the same;with the product of ratio of height to width of steel plate and ratio of height to thickness,the fundamental natural period will lengthen if the number of story is the same.
Due to the lack of the research on fundamental natural periods for steel plate shear wall structures(SPSW),the SPSW is simplified as a Timoshenko's beam and the formula of equivalent shear stiffness of SPSW,which includes the effect of adjacent frame columns,is put forward.Then based on Southwell-Dunkerley approximation,the simplified calculating method of natural periods for SPSW structures can be obtained.By 56 cases,the results of the simplified calculating method are compared with those of finite element analysis and the results show that average value,which is the period normalized by the period from FE analysis,is 1.015 and the standard deviation is 0.049.The simplified calculating method is reliable enough.Moreover,the parameters including height,unity mass,equivalent shear stiffness and flexural stiffness,ratio of height to width of steel plate,ratio of height to thickness,etc are analyzed.The results show that with the increasing of the product of height and the square root of unity mass,the fundamental natural period will increase;with the increasing of equivalent shear stiffness and flexural stiffness,the fundamental natural period will tend to decrease if the number of story is the same;with the product of ratio of height to width of steel plate and ratio of height to thickness,the fundamental natural period will lengthen if the number of story is the same.
引文
[1]Bhowmick A K,Grondin G Y,Driver R G.Estimating fundamental periods of steel plate shear walls[J].Engineering Structures,2011,33(6):1883-1893.
[2]Rezai M.Seismic behaviour of steel plate shear walls by shake table testing[D].Vancouver(BC):Dept.of Civil Engineering.University ofBritish Columbia,1999.
[3]Topkaya C,Kurban C O.Natural periods of steel plate shear wall systems[J].Journal of Constructional Steel Research,2009,65(3):542–551.
[4]苏幼坡,刘英利,王绍杰.薄钢板剪力墙抗震性能试验研究[J].地震工程与工程振动,2002,22(4):81-84.SU Youpo,LIU Yingli,WANG Shaojie.Experimental study of anti-seismic behavior of thin steel-plate shear walls[J].Journal of Earthquake En-gineering and Engineering Vibration,2002,22(4):81-84.(in Chinese)
[5]李然,郭兰慧,张素梅.钢板剪力墙滞回性能分析与简化模型[J].天津大学学报,2010,43(10):919-927.LI Ran,GUO Lanhui,ZHANG Sumei.Hysteretic analysis and simplified model of steel plate shear wall[J].Journal of Tianjin University,2010,43(10):919-927.(in Chinese)
[6]解琦,郝际平,于金光.半刚性框架钢板剪力墙体系性能研究[J].建筑结构学报,2010,32(sp1):12-16.XIE Qi,HAO Jiping,YU Jinguang.Behavior of semi-rigid frame with steel plate shear wall[J].Journal of Building Structures,2010,32(sp1):12-16.(in Chinese)
[7]Caccese V,Elgaaly M,Chen R.Experimental study of thin steel-plate shear walls under cyclic load[J].ASCE Journal of Structural Engineering,1993,119(2):573-587.
[8]Driver R G,Kulak G L,Kennedy D J L,et al.Cyclic test of four-story steel plate shear wall[J].ASCE Journal of Structural Engineering,1998,124(2):112-120.
[9]Lubell A S,Prion H G L,Ventura C E,et al.Unstiffened steel plate shear wall performance under cyclic loading[J].ASCE Journal of StructuralEngineering,2000,126(4):453-460.
[10]Topkaya C,Atasoy M.Lateral stiffness of steel plate shear wall systems[J].Thin-Walled Structures,2009,47(8):827-835.
[11]陈国栋,郭彦林,范珍,等.钢板剪力墙低周反复荷载试验研究[J].建筑结构学报,2004,25(2):19-38.CHEN Guodong,GUO Yanlin,FAN Zhen,et al.Cyclic tests of steel plate shear walls[J].Journal of Building Structures,2004,25(2):19-38.(in Chinese)
[12]蒋路,陈以一,汪文辉,等.足尺带缝钢板剪力墙低周往复加载试验研究(I)[J].建筑结构学报,2009,30(5):57-64.JIANG Lu,CHEN Yiyi,WANG Wenhui,et al.Experimental study on full scale steel slate shear wall with slits under low-frequency cyclicloads:Part I[J].Journal of Building Structures,2009,30(5):57-64.(in Chinese)
[13]Timoshenko S,Young D H.Vibration problems in engineering[M].New Jersey:D.Van Nostrand Company Inc,1955.
[14]Smith Bryan Stafford,Crowe Elizabeth.Estimating periods of vibration of tall buildings[J].ASCE Journal of Structural Engineering,1986,112(5):1005-1019
[15]Zalka K A.A simplified method for calculation of the natural frequencies of wall-frame buildings[J].Engineering Structures,2001,23(12):1544-1555.
[16]Schultz A E.Approximating lateral stiffness of stories in elastic frames[J].ASCE Journal of Structural Engineering,1992,118(1):243-263
[2]Rezai M.Seismic behaviour of steel plate shear walls by shake table testing[D].Vancouver(BC):Dept.of Civil Engineering.University ofBritish Columbia,1999.
[3]Topkaya C,Kurban C O.Natural periods of steel plate shear wall systems[J].Journal of Constructional Steel Research,2009,65(3):542–551.
[4]苏幼坡,刘英利,王绍杰.薄钢板剪力墙抗震性能试验研究[J].地震工程与工程振动,2002,22(4):81-84.SU Youpo,LIU Yingli,WANG Shaojie.Experimental study of anti-seismic behavior of thin steel-plate shear walls[J].Journal of Earthquake En-gineering and Engineering Vibration,2002,22(4):81-84.(in Chinese)
[5]李然,郭兰慧,张素梅.钢板剪力墙滞回性能分析与简化模型[J].天津大学学报,2010,43(10):919-927.LI Ran,GUO Lanhui,ZHANG Sumei.Hysteretic analysis and simplified model of steel plate shear wall[J].Journal of Tianjin University,2010,43(10):919-927.(in Chinese)
[6]解琦,郝际平,于金光.半刚性框架钢板剪力墙体系性能研究[J].建筑结构学报,2010,32(sp1):12-16.XIE Qi,HAO Jiping,YU Jinguang.Behavior of semi-rigid frame with steel plate shear wall[J].Journal of Building Structures,2010,32(sp1):12-16.(in Chinese)
[7]Caccese V,Elgaaly M,Chen R.Experimental study of thin steel-plate shear walls under cyclic load[J].ASCE Journal of Structural Engineering,1993,119(2):573-587.
[8]Driver R G,Kulak G L,Kennedy D J L,et al.Cyclic test of four-story steel plate shear wall[J].ASCE Journal of Structural Engineering,1998,124(2):112-120.
[9]Lubell A S,Prion H G L,Ventura C E,et al.Unstiffened steel plate shear wall performance under cyclic loading[J].ASCE Journal of StructuralEngineering,2000,126(4):453-460.
[10]Topkaya C,Atasoy M.Lateral stiffness of steel plate shear wall systems[J].Thin-Walled Structures,2009,47(8):827-835.
[11]陈国栋,郭彦林,范珍,等.钢板剪力墙低周反复荷载试验研究[J].建筑结构学报,2004,25(2):19-38.CHEN Guodong,GUO Yanlin,FAN Zhen,et al.Cyclic tests of steel plate shear walls[J].Journal of Building Structures,2004,25(2):19-38.(in Chinese)
[12]蒋路,陈以一,汪文辉,等.足尺带缝钢板剪力墙低周往复加载试验研究(I)[J].建筑结构学报,2009,30(5):57-64.JIANG Lu,CHEN Yiyi,WANG Wenhui,et al.Experimental study on full scale steel slate shear wall with slits under low-frequency cyclicloads:Part I[J].Journal of Building Structures,2009,30(5):57-64.(in Chinese)
[13]Timoshenko S,Young D H.Vibration problems in engineering[M].New Jersey:D.Van Nostrand Company Inc,1955.
[14]Smith Bryan Stafford,Crowe Elizabeth.Estimating periods of vibration of tall buildings[J].ASCE Journal of Structural Engineering,1986,112(5):1005-1019
[15]Zalka K A.A simplified method for calculation of the natural frequencies of wall-frame buildings[J].Engineering Structures,2001,23(12):1544-1555.
[16]Schultz A E.Approximating lateral stiffness of stories in elastic frames[J].ASCE Journal of Structural Engineering,1992,118(1):243-263
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