SSDI体系非线性耦合阻尼比研究
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摘要
通过对土结构动力相互作用(SSDI)体系简化计算方法的研究,提出改进的考虑基础质量与转动效应的简化计算模型,推导SSDI体系非线性耦合阻尼比计算公式,并通过对公式中每个参数的选取与修正,充分考虑土体与结构的非线性特性、基础形式与基础埋置深度以及基础平动与转动的耦合效应等因素的影响。运用SSDI体系非线性耦合阻尼比公式,对1个实例进行计算。研究结果表明:SSDI体系频率和阻尼比的计算结果与传统方法相比更加接近试验实测结果,且误差为10%~20%,证明了计算公式的有效性,这有助于完善现有抗震设计规范、提出新的抗震设计反应谱。
Through the research of simplified calculation method for soil structure dynamic interaction(SSDI) system,modified simplified model considering foundation quality and rotation effect was proposed,and the formula of nonlinear coupling damping ratio was deduced for SSDI system.Through selecting the parameters of the formula,the nonlinearity for soil and structure,foundation forms and foundation depth,as well as coupling effect for foundation translation and rotation were considered.An example was calculated by using nonlinear coupling damping ratio formula.The results show that the calculation results for frequency and damping are closer to those of the measured test compared with traditional method,and error is 10%?20%,fully indicating the validity of the formula.The results will play an important role in improving the existing seismic design code and producing new seismic design spectrum.
Through the research of simplified calculation method for soil structure dynamic interaction(SSDI) system,modified simplified model considering foundation quality and rotation effect was proposed,and the formula of nonlinear coupling damping ratio was deduced for SSDI system.Through selecting the parameters of the formula,the nonlinearity for soil and structure,foundation forms and foundation depth,as well as coupling effect for foundation translation and rotation were considered.An example was calculated by using nonlinear coupling damping ratio formula.The results show that the calculation results for frequency and damping are closer to those of the measured test compared with traditional method,and error is 10%?20%,fully indicating the validity of the formula.The results will play an important role in improving the existing seismic design code and producing new seismic design spectrum.
引文
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[9]樊海涛.钢筋混凝土建筑非线性阻尼性能及其地震反应研究[D].长沙:湖南大学土木工程学院,2005:3854.FAN Hai-tao.The research on non-linear damping properties andseismic response of reinforced concrete buildings[D].Changsha:Hunan University.College of Civil Engineering,2005:38 54.
[10]Hardin M J.Mats and combined footings analysis by the finiteelement methods[J].Proc ACI,1971,68:945 949.
[11]袁晓铭,孙锐,孙静,等.常规土类动剪切模量比和阻尼比试验研究[J].地震工程与工程振动,2000,20(4):133139.YUAN Xiao-ming,SUN Rui,SUN Jing,et al.Laboratoryexperimental study on dynamic shear modulus ratio and dampingratio of soils[J].Earthquake Engineering and EngineeringVibration,2000,20(4):133 139.
[12]Apsel R J,Luco J E.Impedance functions for foundationsembedded in a layered medium:An integral equationapproach[J].International Journal of Earthquake Engineeringand Structural Dynamics,1987,15(2):213 231.
[2]GB50011—2001,建筑抗震设计规范[S].GB 50011—2001,Code for seismic design of buildings[S].
[3]Veletsos A S,Verbic B.Vibration of viscoelastic foundations[J].Earthquake Engineering and Structural Dynamics,1973,2(1):87 102.
[4]Bielak J.Dynamic behavior of structures with embeddedfoundations[J].International Journal of Earthquake Engineeringand Structural Dynamics,1975,3(2):259 274.
[5]美国建筑物抗震设计暂行条例(1978)[M].九国抗震设计规范汇编[M].北京:地震出版社,1982:6269.The United States of America Interim Regulations on theSeismic Design of Buildings(1978).Nine countries seismicdesign code compilation[M].Beijing:Seismological Press,1982:62 69.
[6]加藤大介他.地震荷重ー地震动の予测と建筑物の応答[M].东京:日本建筑学会,1992:2528.Daisuke K.The earthquake ground motion to load for answeringbuildings[M].Tokyo:Architectural Institute of Japan,1992:25 28.
[7]陈跃庆,吕西林,李培振,等.结构地基相互作用体系动力特性参数的简化计算方法[J].地震工程与工程振动,2003,23(1):71 77.CHEN Yue-qing,LüXi-lin,LI Pei-zhen,et al.Simplifiedmethod for calculating dynamic characteristics of soil-structureinteraction system[J].Earthquake Engineering and EngineeringVibration,2003,23(1):71 77.
[8]夏栋舟,何益斌,刘建华.土结构动力相互作用体系阻尼及地震反应分析[J].岩土力学,2009,30(10):29232928.XIA Dong-zhou,HE Yi-bin,LIU Jian-hua.Study of dampingproperty and seismic action effect for soil-structure dynamicinteraction system[J].Rock and Soil Mechanics,2009,30(10):2923 2928.
[9]樊海涛.钢筋混凝土建筑非线性阻尼性能及其地震反应研究[D].长沙:湖南大学土木工程学院,2005:3854.FAN Hai-tao.The research on non-linear damping properties andseismic response of reinforced concrete buildings[D].Changsha:Hunan University.College of Civil Engineering,2005:38 54.
[10]Hardin M J.Mats and combined footings analysis by the finiteelement methods[J].Proc ACI,1971,68:945 949.
[11]袁晓铭,孙锐,孙静,等.常规土类动剪切模量比和阻尼比试验研究[J].地震工程与工程振动,2000,20(4):133139.YUAN Xiao-ming,SUN Rui,SUN Jing,et al.Laboratoryexperimental study on dynamic shear modulus ratio and dampingratio of soils[J].Earthquake Engineering and EngineeringVibration,2000,20(4):133 139.
[12]Apsel R J,Luco J E.Impedance functions for foundationsembedded in a layered medium:An integral equationapproach[J].International Journal of Earthquake Engineeringand Structural Dynamics,1987,15(2):213 231.
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