基于谐响应的核电厂地基动阻抗数值求解算法
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摘要
为了解决单一常系数弹簧-阻尼器并联系统表征的场地动力模型无法反映无限域场地的动刚度和阻尼是随激振频率变化的函数,也无法反映非均质场地条件影响的问题,从谐响应动力求解方法的基本概念出发,以粘弹性场地动力模型为分析对象,推导了一种适于非均质场地条件的随激振频率变化的核电厂地基动阻抗数值的求解方法,并分别以二维和三维算例的形式给出了该方法和传统抗震设计规范集总参数模型结果、经典解的比较。结果表明:采用该方法计算的动阻抗满足工程精度要求且能表征出地基动阻抗是随激励频率改变而变化的。
In the framework of lumped parameter numerical models,the traditional soil dynamic models were only expressed by a single parallel connection system of spring and damper,which could not reflect the dynamic stiffness varying with excitation frequencies,and could not simulate the cases of nonhomogeneous site conditions.Based on the essential concepts of dynamic solution method of harmonic response,an improved numerical solution to the dynamic impedance of foundation for nuclear power plant was presented by using viscoelastic soil dynamic model,which was especially fit for the numerical simulation of nonhomogeneous soil condition,and gave the dynamic impedance of foundation varying with the excitation frequencies.To solve the problems of 2-D and 3-D types,some numerical examples were given to validate its accuracy and applicability by comparing the method with the classical solutions and lumped parameter model suggested by seismic design codes.The results show that the dynamic impedance calculated by the method can satisfy the engineering precision,and the method can take dynamic impedance of foundation changed with excitation frequencies.
In the framework of lumped parameter numerical models,the traditional soil dynamic models were only expressed by a single parallel connection system of spring and damper,which could not reflect the dynamic stiffness varying with excitation frequencies,and could not simulate the cases of nonhomogeneous site conditions.Based on the essential concepts of dynamic solution method of harmonic response,an improved numerical solution to the dynamic impedance of foundation for nuclear power plant was presented by using viscoelastic soil dynamic model,which was especially fit for the numerical simulation of nonhomogeneous soil condition,and gave the dynamic impedance of foundation varying with the excitation frequencies.To solve the problems of 2-D and 3-D types,some numerical examples were given to validate its accuracy and applicability by comparing the method with the classical solutions and lumped parameter model suggested by seismic design codes.The results show that the dynamic impedance calculated by the method can satisfy the engineering precision,and the method can take dynamic impedance of foundation changed with excitation frequencies.
引文
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[2]ASCE 4—98,Seismic Analysis of Safety-related Nu-clear Structures and Commentary[S].
[3]RCC—G,Design and Construction Rules for Works of900 MWe PWR Nuclear Power Plants[S].
[4]汪嘉春,傅激扬,才来中.试验堆主厂房楼板谱计算与比较[J].核动力工程,2001,22(4):308-312.WANG Jia-chun,FU Ji-yang,CAI Lai-zhong.Analy-zing and Comparing the Dynamic Response of TestReactor Main Workshop[J].Nuclear Power Engineer-ing,2001,22(4):308-312.
[5]LYSMER J,KUHLEMEYER R L.Finite DynamicModel for Infinite Media[J].Journal of the Engineer-ing Mechanics Division,1969,95(4):859-877.
[6]DEEKS A J,RANDOLPH M F.Axisymmetric Time-domain Transmitting Boundaries[J].Journal of En-gineering Mechanics,1994,120(1):25-42.
[7]刘晶波,吕彦东.结构-地基动力相互作用问题分析的一种直接方法[J].土木工程学报,1998,31(3):55-64.LIU Jing-bo,LU Yan-dong.A Direct Method forAnalysis of Dynamic Soil-structure Interaction[J].China Civil Engineering Journal,1998,31(3):55-64.
[8]刘晶波,李彬.三维黏弹性静-动力统一人工边界[J].中国科学E辑:工程及材料科学,2005,35(9):966-980.LIU Jing-bo,LI Bin.3D Viscous-spring and Static-dy-namic United Artificial Boundary[J].Science in ChinaSeries E:Engineering&Material Science,2005,35(9):966-980.
[9]刘晶波,杜义欣,闫秋实.粘弹性人工边界及地震动输入在通用有限元软件中的实现[J].防灾减灾工程学报,2007,4(增):37-42.LIU Jing-bo,DU Yi-xin,YAN Qiu-shi.The Achieve-ment of Visco-elastic Artificial Boundary and GroundMotion Input in the General Finite Element Software[J].Journal of Disaster Prevention and MitigationEngineering,2007,4(S):37-42.
[10]易伟建,周云,张望喜.弹性地基板模态试验及地基动参数识别[J].中国公路学报,2007,20(2):1-6.YI Wei-jian,ZHOU Yun,ZHANG Wang-xi.ModalExperiment on Elastic Foundation Slab and Identifica-tion of Dynamic Foundation Parameters[J].ChinaJournal of Highway and Transport,2007,20(2):1-6.
[11]高彦斌,黄亮,叶观宝.路堤荷载下桩土复合地基性状分析[J].中国公路学报,2008,21(1):6-11.GAO Yan-bin,HUANG Liang,YE Guan-bao.Behav-ior Analysis of Pile-soil Composite Ground UnderEmbankment Load[J].China Journal of Highway andTransport,2008,21(1):6-11.
[12]LUCO J E,WESTMANN R A.Dynamic Response ofCircular Footings[J].Journal of Engineering Mechan-ics Division,1971,97(5):1381-1395.
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