P-Δ效应对结构动力特性的影响
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摘要
P-Δ效应对结构的动力特性有一定影响。为了在推覆曲线上求解性能点,应依据考虑P-Δ效应后的结构周期选择合适的弹塑性反应谱。由于模态分析无法考虑P-Δ效应的影响,用振动台试验中常用的白噪声扫描对结构动力特性的变化进行研究。结果表明:考虑P-Δ效应后结构的抗侧刚度降低,周期增大,这会导致结构受到的地震作用发生变化;P-Δ效应对结构的第一阶振型影响较明显,而对高阶振型影响较小。
P-Δ effect has a certain degree of influence on the dynamic characteristic of the structure.In order to calculate the performance point in the pushover curve,the period with considering of the P-Δ effect should be applied to choose the appropriate inelastic response spectrum.Because the modal analysis ignore the influence of the P-Δ effect,the whitenoise commonly used in the shaking table tests is applied to analyze the change of the structural dynamic characteristic with P-Δ effect.The results indicate that the lateral stiffness of the structure decreases when the P-Δ effect is considered,and the period becomes large,which resulting in the change of the seismic force subjected by the structure.The influence of the P-Δ effect on the first mode is relatively significant,while that on the higher modes is small.
P-Δ effect has a certain degree of influence on the dynamic characteristic of the structure.In order to calculate the performance point in the pushover curve,the period with considering of the P-Δ effect should be applied to choose the appropriate inelastic response spectrum.Because the modal analysis ignore the influence of the P-Δ effect,the whitenoise commonly used in the shaking table tests is applied to analyze the change of the structural dynamic characteristic with P-Δ effect.The results indicate that the lateral stiffness of the structure decreases when the P-Δ effect is considered,and the period becomes large,which resulting in the change of the seismic force subjected by the structure.The influence of the P-Δ effect on the first mode is relatively significant,while that on the higher modes is small.
引文
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[12]张晋.采用MATLAB进行振动台试验数据的处理[J].工业建筑,2002,32(2),28-30(Zhang Jin.UsingMATLAB to deal with data of the shaking table test[J].Industrial Construction,2002,32(2),28-30(in Chinese))
[13]陆伟东.基于MATLAB的地震模拟振动台试验的数据处理[J].南京工业大学:自然科学版,2011,33(6),1-4(Lu Weidong.MATLAB-based data processing ofshaking table test[J].Journal of Nanjing University ofTechnology:Natural Science Edition,2011,33(6),1-4(in Chinese))
[2]Montgomery C J.Influence of P-Delta effects on seismicdesign[J].Canadian Journal of Civil Engineering,1981,8(1):31-43
[3]Akiyama H.Earthquake-resistant limit state design forbuildings[M].Tokyo:University of Tokyo Press,1985
[4]Aschheim M,Montes E H.The representation of P-Δeffects using yield point spectra[J].EngineeringStructures,2003,25(11):1387-1396
[5]Vian D,Bruneau M.Tests to structural collapse of singledegree of freedom frames subjected to earthquakeexcitations[J].Journal of Structural Engineering,2003,129(12):1676-1685
[6]Shih M H,Chen C L,Sung W P.Collapse analysis ofbuilding structures under excitation of near-fault groundmotion with consideration of large deformation anddisplacement[J].The Structural Design of Tall andSpecial Buildings,2007,16(2):165-180
[7]童根树,赵永峰.动力P-Δ效应对地震力调整系数的影响[J].浙江大学学报:工学版,2007,41(1):120-125(Tong Genshu,Zhao Yongfeng.Dynamic P-Δeffects onseismic force modification factors[J].Journal of ZhejiangUniversity:Engineering Science,2007,41(1):120-125(in Chinese))
[8]翟长海,孙亚民,谢礼立.考虑P-Δ效应的等延性位移比谱[J].哈尔滨工业大学学报,2007,39(10):1513-1516(Zhai Changhai,Sun Yamin,Xie Lili.Estimation ofP-Δeffect on constant-ductility inelastic displacement ratiospectra[J].Journal of Harbin Institute of Technology,2007,39(10):1513-1516(in Chinese))
[9]蔡志恒,童根树.考虑P-Δ效应的弹塑性反应谱归一化[J].哈尔滨工业大学学报,2011,43(6):127-131(CaiZhiheng,Tong Genshu.Inelastic spectrum normalizationconsidering P-Δeffects[J].Journal of Harbin Institute ofTechnology,2011,43(6):127-131(in Chinese))
[10]魏斌,李建中,蒋娜芳.考虑P-Δ效应的桥梁地震反应分析与设计[J].地震工程与工程振动,2010,30(3):129-135(Wei Bin,Li Jianzhong,Jiang Nafang.Seismicanalysis and design of bridge piers considering P-Δeffects[J].Journal of Earthquake Engineering and EngineeringVibration,2010,30(3):129-135(in Chinese))
[11]魏斌,蒋娜芳.动力P-Δ效应位移增大系数研究[J].工程抗震与加固改造,2010,32(5):8-13(Wei Bin,Jiang Nafang.Study of displacement amplification factorsdue to dynamic P-Δeffect[J].Earthquake ResistantEngineering and Retrofitting,2010,32(5):8-13(inChinese))
[12]张晋.采用MATLAB进行振动台试验数据的处理[J].工业建筑,2002,32(2),28-30(Zhang Jin.UsingMATLAB to deal with data of the shaking table test[J].Industrial Construction,2002,32(2),28-30(in Chinese))
[13]陆伟东.基于MATLAB的地震模拟振动台试验的数据处理[J].南京工业大学:自然科学版,2011,33(6),1-4(Lu Weidong.MATLAB-based data processing ofshaking table test[J].Journal of Nanjing University ofTechnology:Natural Science Edition,2011,33(6),1-4(in Chinese))
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