Simulation of Multivariate Nonstationary Random Processes: Hybrid Stochastic Wave and Proper Orthogonal Decomposition Approach

AbstractThe classical spectral representation method for simulation of multivariate nonstationary Gaussian random processes may be less efficient due to difficulty in a straightforward application ...

[1]  Ahsan Kareem,et al.  Stochastic Decomposition and Application to Probabilistic Dynamics , 1995 .

[2]  Xinzhong Chen,et al.  Analysis of Alongwind Tall Building Response to Transient Nonstationary Winds , 2008 .

[3]  Aspasia Zerva,et al.  Seismic ground motion simulations from a class of spatial variability models , 1992 .

[4]  Ahsan Kareem,et al.  Simulation of Multivariate Nonstationary Random Processes: Hybrid DFT and Digital Filtering Approach , 1997 .

[5]  M. Shinozuka,et al.  Simulation of Seismic Ground Motion Using Stochastic Waves , 1989 .

[6]  Guoqing Huang,et al.  New formulation of Cholesky decomposition and applications in stochastic simulation , 2013 .

[7]  Guoqing Huang,et al.  An efficient simulation approach for multivariate nonstationary process: Hybrid of wavelet and spectral representation method , 2014 .

[8]  Giovanni Solari,et al.  Double Proper Orthogonal Decomposition for Representing and Simulating Turbulence Fields , 2005 .

[9]  E. Vanmarcke,et al.  Stochastic Variation of Earthquake Ground Motion in Space and Time , 1986 .

[10]  You‐lin Xu,et al.  Spectrum models for nonstationary extreme winds , 2015 .

[11]  A. Davenport.  The spectrum of horizontal gustiness near the ground in high winds , 1961 .

[12]  P. Spanos,et al.  Evolutionary Spectra Estimation Using Wavelets , 2004 .

[13]  Ahsan Kareem,et al.  An efficient space–time based simulation approach of wind velocity field with embedded conditional interpolation for unevenly spaced locations , 2016 .

[14]  M. Shinozuka,et al.  Auto‐Regressive Model for Nonstationary Stochastic Processes , 1988 .

[15]  M. Priestley.  Evolutionary Spectra and Non‐Stationary Processes , 1965 .

[16]  Mircea Grigoriu,et al.  SIMULATION OF NONSTATIONARY GAUSSIAN PROCESSES BY RANDOM TRIGONOMETRIC POLYNOMIALS , 1993 .

[17]  Ahsan Kareem,et al.  Simulation of Multivariate Nonstationary Random Processes by FFT , 1991 .

[18]  Ahsan Kareem,et al.  Proper Orthogonal Decomposition-Based Modeling, Analysis, and Simulation of Dynamic Wind Load Effects on Structures , 2005 .

[19]  George Deodatis,et al.  A method for generating fully non-stationary and spectrum-compatible ground motion vector processes , 2011 .

[20]  Y. Peng,et al.  Random function based spectral representation of stationary and non-stationary stochastic processes , 2016 .

[21]  M. Di Paola,et al.  Digital generation of multivariate wind field processes , 2001 .

[22]  A. Kareem.  Wind effects on structures: a probabilistic viewpoint , 1987 .

[23]  P. Spanos,et al.  Harmonic wavelets based statistical linearization for response evolutionary power spectrum determination , 2012 .

[24]  Giovanni Solari,et al.  A turbulence model based on principal components , 2002 .

[25]  Jun Chen,et al.  A Comparative Study of Stationary and Non-stationary Wind Models Using Field Measurements , 2007 .

[26]  Masanobu Shinozuka,et al.  Stochastic Methods in Wind Engineering , 1989 .

[27]  Ahsan Kareem,et al.  Conditional Simulation of Nonstationary Fluctuating Wind Speeds for Long-Span Bridges , 2014 .

[28]  Brett A. Benowitz,et al.  Determining evolutionary spectra from non-stationary autocorrelation functions , 2015 .

[29]  Ahsan Kareem,et al.  Simulation of Multivariate Random Processes: Hybrid DFT and Digital Filtering Approach , 1993 .

[30]  Li Li,et al.  Error Assessment for Spectral Representation Method in Wind Velocity Field Simulation , 2010 .

[31]  Joel P. Conte,et al.  Fully nonstationary analytical earthquake ground-motion model , 1997 .

[32]  M. Shinozuka,et al.  Simulation of Stochastic Processes by Spectral Representation , 1991 .

[33]  Xinzhong Chen,et al.  Wavelets-based estimation of multivariate evolutionary spectra and its application to nonstationary downburst winds , 2009 .

[34]  George Deodatis,et al.  Non-stationary stochastic vector processes: seismic ground motion applications , 1996 .

[35]  Masanobu Shinozuka,et al.  Stochastic wave models for stationary and homogeneous seismic ground motion , 1991 .

[36]  Guoqing Huang.  Application of Proper Orthogonal Decomposition in Fast Fourier Transform—Assisted Multivariate Nonstationary Process Simulation , 2015 .

[37]  George Deodatis,et al.  Simulation of wind velocities on long span structures: A novel stochastic wave based model , 2015 .