基于复阻尼理论的流固耦合地震时程响应研究
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摘要
在粘滞阻尼系统的地震动力学方程基础上,建立了基于应力相关复阻尼理论的流固耦合地震动力学方程。根据复阻尼系统求解理论,利用Newmark-β积分法,编制了Rayleigh阻尼和复阻尼模型的流固耦合三维有限元程序。以深水薄壁钢管墩柱为例,计算了两种阻尼模型的流固耦合地震时程响应和复阻尼模型的损耗因子;对比分析了无水和有水两种工况下的动力响应,并研究了此两种阻尼模型地震响应的差异。研究表明,在加速度峰值为2m/s2的El-Centro波作用下,应力相关复阻尼方法计算的结构震动响应数值远大于传统的Rayleigh阻尼模型,考虑流固耦合效应时,结构的震动响应是不考虑此效应时的1.5～2倍多;损耗因子随着位移的增大而增大,并且考虑流固耦合效应时的损耗因子明显大于不考虑此效应的损耗因子值。
Based on dynamics equation of viscous damping system,seismic dynamics equations of fluid-solid interaction problem according to stress-related complex damping theory were established.Fluid-solid interacion 3D FEM dynamic program for solving Rayleigh damping model and complex damping model of structures was developed with newmark-β integration method.The time history of seismic response and loss factor of a deepwater thin-walled steel pipe pier were calculated.The responses in the case of considering fluid solid interaction effect as well as without regard to fluid solid effect were studied.It shows that the responses calculated with complex theory is far bigger than that with Rayleigh damping theory under El-Centro earthquake load with peak value 2m/s2.The seismic response in consideration of fluid solid interaction is more than 1.5～ 2 times as big as that without consideration of fluid solid interaction.The loss factor increases with the increase of stress or response and the loss factor in consideration of fluid solid interation is obviously bigger than that without regard to fluid solid interaction.
Based on dynamics equation of viscous damping system,seismic dynamics equations of fluid-solid interaction problem according to stress-related complex damping theory were established.Fluid-solid interacion 3D FEM dynamic program for solving Rayleigh damping model and complex damping model of structures was developed with newmark-β integration method.The time history of seismic response and loss factor of a deepwater thin-walled steel pipe pier were calculated.The responses in the case of considering fluid solid interaction effect as well as without regard to fluid solid effect were studied.It shows that the responses calculated with complex theory is far bigger than that with Rayleigh damping theory under El-Centro earthquake load with peak value 2m/s2.The seismic response in consideration of fluid solid interaction is more than 1.5～ 2 times as big as that without consideration of fluid solid interaction.The loss factor increases with the increase of stress or response and the loss factor in consideration of fluid solid interation is obviously bigger than that without regard to fluid solid interaction.
引文
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[14]Lazan B J.Damping of material and members in structuralmechanics[M].London:Pergamon Press,1968.
[2]郝双户,董国海,等.圆环在波浪作用下的非线性流固耦合分析[J].工程力学,2007,24(7):53-58.
[3]蒋向华,王延荣.采用流固耦合方法的整级叶片鸟撞击数值模拟[J].航空动力学报,2008,23(2):299-304.
[4]陈健云,刘金云.地震作用下输水隧道的流-固耦合分析[J].岩土力学,2006,27(7):1076-1081.
[5]宋江湖,陈国定.考虑流固耦合作用的主动脉弓血液流动分析[J].中国生物医学工程学报,2008,27(3):405-409.
[6]Weged R L W.International dissipation in solids for small[J].Physics,1935,6:141-157.
[7]Soroka W W.Note on the relation between viscous andstructural damping coeffieients[J].J.Aerom.Sci.,1949,16:409-410.
[8]Myklestad N O.The concept of complex dam-ping[J].Journal of Applied Mechanics,1952,19(3):20-30.
[9]Gounaris G D,Anifantis N K.Structural damp-ing determina-tion by finite element approach[J].Computers and Struc-tures,1999,73:445-452.
[10]胡海岩.结构阻尼模型及系统时域响应[J].振动工程学报,1992,5(1):8-16.
[11]Chen Yung-hsiang,Tsaur Deng-how.General-ized complexdamping and spectral integration[J].J.Engrg.Mech.,1991,117(5):986-1004.
[12]文捷.钢筋混凝土及钢管混凝土材料阻尼研究[D].北京:北京交通大学,2006.
[13]李鹏,王元丰.黏性阻尼与复阻尼对钢筋混凝土框架结构地震响应影响的分析[J].地震工程与工程振动,2007,27(3):54-57.
[14]Lazan B J.Damping of material and members in structuralmechanics[M].London:Pergamon Press,1968.
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