基于特征正交分解谱表示法插值模拟研究
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摘要
在对大跨度结构物进行动力荷载,如地震荷载和风荷载,常需要人工模拟随机场.谱表示法是随机场模拟中广泛运用的方法.基于特征正交分解法的随机场模拟方法是谱表示法的一种重要形式.本文分别以震动场的模拟及风场脉动部分的模拟为例,对比分析了基于功率谱矩阵特征正交分解法与基于相干函数正交分解法的插值模拟的精度,得出基于相干函数特征正交分解法的误差要远小于基于功率谱矩阵特征正交分解法的误差;在基于相干函数特征正交分解法中,可以使用较为简单的线性插值代替三次多项式插值来对特征向量进行插值;对于插值频率点布置型式,建议在地震动模拟时使用线性分布而在风场模拟时使用指数分布.
引文
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27Chen X,Kareem A.Proper orthogonal decomposition-based modeling,analysis,and simulation of dynamic wind load effects on structures.J Eng Mech,2005,131:325–339
28Carassale L,Solari G.Monte Carlo simulation of wind velocity fields on complex structures.J Wind Eng Ind Aerodyn,2006,94:323–339
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30胡亮,李黎,樊剑.基于特征正交分解的空间变异地震动模拟.西南交通大学学报,2006,41:685–689
31Hu L,Li L,Fan J,et al.Coherency matrix-based proper orthogonal decomposition with application to wind field simulation.Earthquake Eng Eng Vib,2006,5:267–272
32Ding Q,Zhu L,Xiang H.Simulation of stationary gaussian stochastic wind velocity field.Wind Struct,2006,9:231–243
33Clough R W,Penzien J.Dynamics of Structures.New York:McGraw Hill,1993
34Hanrichandran R S,Vanmarcke E H.Stochastic variation of earthquake ground motion in space and time.J Eng Mech,1986,112:154–174
35Davenport A G.The dependence of wind loads upon meteorological parameters.In:Proc Int Res Sem on wind effects on build and struct.Tornoto:University of Toronto Press,1976.1:19–82
2Shinozuka M.Simulation of multivariate and multidimensional random processes.J Acoust Soc Am,1971,49:357–368
3Shinozuka M.Monte Carlo solution of structural dynamics.Comput Struct,1972,2:855–874
4Shinozuka M,Deodatis G.Simulation of stochastic processes by spectral representation.Appl Mech Rev,1991,44:191–204
5Shinozuka M,Deodatis G.Simulation of multidimensional gaussian stochastic field by spectral representation.Appl Mech Rev,1996,49:29–53
6Deodatis G.Simulation of ergodic multivariate stochastic processes.J Eng Mech,1996,122:778–787
7Hao H,Oliveira C S,Penzien J.Multiple-station ground motion processing and simulation based on SMART-1array date.Nuc Eng Des,1989,111:293–310
8Shinozuka M,Jan C B,Seya H.Stochastic methods in wind engineering.J Wind Eng Ind Aerodyn,1990,36:829–843
9Deodatis G.Non-stationary stochastic vector processes:Seismic ground motion applications.Probab Eng Mech,1996,11:149–168
10屈铁军,王前信.空间相关的多点地震动合成(I)基本公式.地震工程与工程振动,1998,18:8–15
11屈铁军,王前信.空间相关的多点地震动合成(II)合成实例.地震工程与工程振动,1998,18:25–32
12刘先明,叶继红,李爱群.空间相关多点地震动合成的简化方法.工程抗震,2003,1:30–36
13董汝博,周晶,冯新.非平稳空间相关多点地震动合成方法研究.地震工程与工程振动,2007,27:10–14
14董汝博,周晶,冯新.一种考虑局部场地收敛性的多点地震动合成方法.振动与冲击,2007,26:5–9
15Li M G,Li X,Zhou J.A modified method for simulating non-stationary multi-point earthquake ground motion.Earthquake Eng Eng Vib,2011,9:201–211
16Gao Y,Wu Y,Li D,et al.An improved approximation for the spectral representation method in the simulation of spatially varying ground motions.Probab Eng Mech,2012,29:7–15
17Bi K,Hao H.Modelling and simulation of spatially varying earthquake ground motions at sites with vary conditions.Probab Eng Mech,2012,29:92–104
18Yang W W,Chang T Y P.Numerical simulation of turbulent fluctuations along the axis of a bridge.Eng Struct,1998,20:837–848
19Yang W W,Chang T Y P,Chang C C.An efficient wind-field simulation technique for bridges.J Wind Eng Ind Aerodyn,1997,67–68:697–708
20Cao Y,Xiang H,Zhou Y.Simulation of stochastic wind velocity field on long-span bridges.J Eng Mech,2000,126:1–6
21Di Paola M,Pisano A A.Multivariate stochastic wave generation.Appl Ocean Research,1996,18:361–365
22Di Paola M.Digital simulation of wind field velocity.J Wind Eng Ind Aerodyn,1998,74-76:91–109
23Di Paola M,Zingales M.Digital simulation of multivariate earthquake ground motions.Earthquake Eng Struct Dyn,2000,29:1011–1027
24Di Paola M,Gullo I.Digital generation of multivariate wind field processes.Probab Eng Mech,2001,16:1–10
25Carassale L,Solari G.Wind modes for structural dynamics:A continuous approach.Probab Eng Mech,2002,17:157–166
26Chen L,Letchford C.Simulation of multivariate stationary gaussian stochastic processes:Hybrid spectral representation and proper orthogonal decomposition approach.J Eng Mech,2005,131:801–808
27Chen X,Kareem A.Proper orthogonal decomposition-based modeling,analysis,and simulation of dynamic wind load effects on structures.J Eng Mech,2005,131:325–339
28Carassale L,Solari G.Monte Carlo simulation of wind velocity fields on complex structures.J Wind Eng Ind Aerodyn,2006,94:323–339
29胡亮,李黎,樊剑.基于特征正交分解的桥梁风场模拟.武汉理工大学学报(交通科学与工程版).2008,32:16–19
30胡亮,李黎,樊剑.基于特征正交分解的空间变异地震动模拟.西南交通大学学报,2006,41:685–689
31Hu L,Li L,Fan J,et al.Coherency matrix-based proper orthogonal decomposition with application to wind field simulation.Earthquake Eng Eng Vib,2006,5:267–272
32Ding Q,Zhu L,Xiang H.Simulation of stationary gaussian stochastic wind velocity field.Wind Struct,2006,9:231–243
33Clough R W,Penzien J.Dynamics of Structures.New York:McGraw Hill,1993
34Hanrichandran R S,Vanmarcke E H.Stochastic variation of earthquake ground motion in space and time.J Eng Mech,1986,112:154–174
35Davenport A G.The dependence of wind loads upon meteorological parameters.In:Proc Int Res Sem on wind effects on build and struct.Tornoto:University of Toronto Press,1976.1:19–82
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