Browse > Article
http://dx.doi.org/10.12989/was.2012.15.3.223

Simulation of multivariate non-Gaussian wind pressure on spherical latticed structures  

Aung, Nyi Nyi (Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, Southeast University)
Ye, Jihong (Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, Southeast University)
Masters, F.J. (Department of Civil and Coastal Engineering, University of Florida)
Publication Information
Wind and Structures / v.15, no.3, 2012 , pp. 223-245 More about this Journal
Abstract
Multivariate simulation is necessary for cases where non-Gaussian processes at spatially distributed locations are desired. A simulation algorithm to generate non-Gaussian wind pressure fields is proposed. Gaussian sample fields are generated based on the spectral representation method using wavelet transforms method and then mapped into non-Gaussian sample fields with the aid of a CDF mapping transformation technique. To illustrate the procedure, this approach is applied to experimental results obtained from wind tunnel tests on the domes. A multivariate Gaussian simulation technique is developed and then extended to multivariate non-Gaussian simulation using the CDF mapping technique. It is proposed to develop a new wavelet-based CDF mapping technique for simulation of multivariate non-Gaussian wind pressure process. The efficiency of the proposed methodology for the non-Gaussian nature of pressure fluctuations on separated flow regions of different rise-span ratios of domes is also discussed.
Keywords
domes; wavelet; CDF mapping technique; multivariate; non-Gaussian; stochastic simulation; wind pressure field; wind tunnel experiment;
Citations & Related Records
연도 인용수 순위
1 Bendat, J.S. and Piersol, A.G. (1986), Random data: Analysis and measurement procedures, 2nd Ed., New York, 86-125.
2 Borgman, L.E. (1990), Irregular ocean waves: Kinematics and forces: the sea, (Eds., LeMehaute, B. and Hanes, D.M.), John Wiley and Sons, 121-167.
3 Cai, G.Q. and Lin, Y.K. (1996), "Generation of non-Gaussian stationary stochastic processes", J. Phys. Rev. E, 91, 737-765.
4 Daubechies, I. (1992), Ten lectures on wavelets, SIMA: Philadelpia, 17-48.
5 Deodatis, G. and Micaletti, R.C. (2002), "Simulation of highly skewed non-Gaussian stochastic processes", J. Eng. Mech.- ASCE, 127(12), 1284-1295.
6 Elishakoff, I., Ren, Y.J. and Shinozuka, M. (1994), "Conditional simulation of non-Gaussian random-fields", Eng. Struct., 16(7), 558-563.   DOI   ScienceOn
7 Grigoriu, M. (1984), "Crossing of non-Gaussian translation processes", J. Eng. Mech.- ASCE, 110(4), 610-620.   DOI   ScienceOn
8 Grigoriu, M. (1993), "On the spectral representation method in simulation", Probabilist. Eng. Mech., 8(2), 75-90.   DOI   ScienceOn
9 Grigoriu, M. (1998), "Simulation of stationary non-Gaussian translation processes", J. Eng. Mech.- ASCE, 124(2), 121-126.   DOI   ScienceOn
10 Gurley, K.R. (1997), Modeling and simulation of non-Gaussian processes, PhD. Thesis, Notre Dame: University of Notre Dame. 2-15.
11 Gurley, K.R. and Kareem, A. (1997a), "Analysis, interpretation, modeling and simulation of unsteady wind and pressure data", J. Wind Eng. Ind. Aerod., 69-71, 657-669.   DOI
12 Gurley, K. and Kareem, A. (1997b), "Application of wavelet transforms in signal characterization", Eng. Struct., 3, 855-875.
13 Gurley, K.R. and Kareem, A. (1998a), "A conditional simulation of non-normal velocity/pressure fields", J. Wind Eng. Ind. Aerod., 77-78, 39-51.   DOI
14 Gurley, K. and Kareem, A. (1998b), "Simulation of correlated non-Gaussian pressure fields", J. Wind Eng. Ind. Aerod., 33(3), 309-317.
15 Griguriu, M. (2007), "Parametric translation models for stationary non-Gaussian processes and fields", J. Sound Vib., 303(3-5), 428-439.   DOI
16 Hoshiya, M., Noda, S. and Inada, H. (1998), "Estimation of conditional non-Gaussian translation stochastic fields", J. Eng. Mech.- ASCE, 124(4), 435-445.   DOI   ScienceOn
17 Huang, S.P., Phoon, K.K. and Quek, S.T. (2000), "Digital simulation of non-Gaussian stationary processes using Karhunen-Loeve expansion", Proceedings of the 8th ASCE Specialty Conference on Probabilistic Mechanics and Structural Reliability, 1-6.
18 Kumar, K.S. and Stathopoulos, T. (1999), "Synthesis of non-Gaussian wind pressure time series on low building roofs", Eng. Struct., 21(12), 1086-1100.   DOI   ScienceOn
19 Kumar, K.S. (1997), Simulation of fluctuation wind pressure on low building roofs, Ph.D Thesis, Canada: Concordia University, 135-165.
20 Kumar, K.S. and Stathopoulos, T. (1998), "Power spectra of wind pressures on low building roofs", J. Wind Eng. Ind. Aerod., 74(76), 665-674.
21 Kitagawa, T. and Nomura, T. (2003), "A wavelet-based method to generate artificial wind fluctuation data", J. Wind Eng. Ind. Aerod., 91(1), 943-964.   DOI
22 Li, Chao, Li, Q.S., Huang, S.H., Fu, J.Y. and Xiao, Y.Q. (2010), "Large eddy simulation of wind loads on a large-span spatial lattice roof ", Wind Struct., 13(1), 57-82.   DOI
23 Li, Y.S. and Kareem, A. (1997), "Simulation of multivariate nonstationary random processes: Hybrid DFT and digital filtering approach", J. Eng. Mech.- ASCE, 123(12), 1302-1310.
24 Master, F.J. and Gurley, K.R. (2003), "Non-Gaussian simulation: cumulative distribution function map-based spectral correction", J. Eng. Mech.- ASCE, 129(12), 1418-1428.   DOI   ScienceOn
25 Masters, F.J. (2004), Measurement, modeling and simulation of ground-level tropical cyclone winds, PhD. Thesis, Florida: University of Florida, 27-59.
26 Masters, F.J., Gurley, K. and Kopp, G.K. (2010), "Multivariate stoachastic simulation of wind pressure over lowrise structures through linear model interpolation", J. Wind Eng. Ind. Aerod., 98(4-5), 226-235.   DOI   ScienceOn
27 Nyi, N.A. and Ye, J.H. (2010), "Coherence of wind pressure on domes", J. Southeast University (English Edition), 26(1), 100-106.
28 Priestley, M.B. (1967), "Power spectral analysis of non-stationary processes", J. Sound Vib., 6(1), 86-97.   DOI   ScienceOn
29 Popescu, R., Deodatis, G. and Prevost, J.H. (1998), "Simulation of homogeneous on-Gaussian stochastic vector fields", Probabilist. Eng. Mech., 13(1), 1-13.   DOI   ScienceOn
30 Phoon, K.K., Haung, S.P. and Quek S.T. (2002), "Simulation of second-order processes using Karhunen-Loeve expansion", Comput. Struct., 80(12), 1049-1060.   DOI   ScienceOn
31 Shinozuka, M. and Jan, C.M. (1972), "Digital simulation of random processes and its applications", J. Sound Vib., 25(1), 111-128.   DOI   ScienceOn
32 Spinelli, P. (1987), "Artificial wind generation and structural response", J. Struct. Eng.- ASCE, 113(12), 2382-2398.   DOI   ScienceOn
33 Shinozuka, M. and Deodatis, G. (1991), "Simulation of stochastic processes by spectral representation", J. ASEM Appl. Mech. Rev., 44(4), 191-203.   DOI
34 Shinozuka, M. and Deodatis, G. (1996), "Simulation of multi-dimensional Gaussian stoachastic fields by spectral representation", J. ASEM Appl. Mech. Rev., 49(1), 29-53.   DOI
35 Seong, S.H. and Peterka, J.A. (1997), "Computer simulation of non-Gaussian multiple wind pressure time series", J. Wind Eng. Ind. Aerod., 72, 95-105.   DOI
36 Sakamoto, S. and Ghanem, R. (2002), "Simulation of multi-dimensional non-Gaussian non-stationary random fields", Probabilist. Eng. Mech., 17(2), 167-176.   DOI   ScienceOn
37 Steinwolf, A. (2006), "Random vibration testing beyond PSD limitations", J. Sound Vib., 32, 12-21.
38 Steinwolf, A. and Stepten, A.R. (2006), "Non-Gaussian alaysis of turbulent boundary layer fluctuating pressure on aircraft skin panels", J. Aircraft, 42(6), 1662-1675.
39 Su, Y. (2007), Characteristics of wind loading on long-span roofs in chinese, Ph.D Thesis, Harbin, Harbin Institute of Technology.
40 Vanmarcke, E.H. and Fenton, G.A. (1991), "Conditioned simulation of local fields of earthquake ground motion", Struct. Saf., 10(1-3), 247-264.   DOI
41 Yamazaki, F. and Shinozuka, M. (1998), "Digital generation of non-Gaussian stochastic fields", J. Eng. Mech - ASCE., 114(7), 1183-1197.
42 Zou, Lianghao, Liang, Shuguo, Li, Q.S. and Zhao, Lin and Ge, Yaojun (2008), "Investigation of 3-D dynamic wind loads on lattice towers", Wind Struct., 11(4), 323-340.   DOI
43 Zeldin, B.A. and Spanos, P.D. (1996), "Random field representation and synthesis using wavelet bases", J. Appl. Mech.-T ASME, 63(12), 946-952.   DOI
44 Zhang, R.C. and Deodatis, G. (1996), "Seismic ground motion synthetics of the 1989 Loma Prieta earthquake", Earthq. Eng. Struct. D., 25(5), 465-481.   DOI