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Wind velocity simulation of spatial three-dimensional fields based on autoregressive model
- Source :
- Wind and Structures. 11:241-256
- Publication Year :
- 2008
- Publisher :
- Techno-Press, 2008.
-
Abstract
- This paper adopts autoregressive (AR) model to simulate the wind velocity of spatial three-dimensional fields in accordance with the time and space dependent characteristics of the 3-D fields. Based on the built MATLAB programming, this paper discusses in detail the issues of the AR model deduced by matrix form in the simulation and proposes the corresponding solving methods: the over-relaxation iteration to solve the large sparse matrix equations produced by large number of degrees of freedom of structures; the improved Gauss formula to calculate the numerical integral equations which integral functions contain oscillating functions; the mixed congruence and central limit theorem of Lindberg-Levy to generate random numbers. This paper also develops a method of ascertaining the rank of the AR model. The numerical examples show that all those methods are stable and reliable, which can be used to simulate the wind velocity of all large span structures in civil engineering.
- Subjects :
- Mathematical optimization
Rank (linear algebra)
Degrees of freedom (statistics)
Building and Construction
Integral equation
Wind speed
Gauss–Kronrod quadrature formula
Autoregressive model
Modeling and Simulation
Applied mathematics
Civil and Structural Engineering
Mathematics
Central limit theorem
Sparse matrix
Subjects
Details
- ISSN :
- 12266116
- Volume :
- 11
- Database :
- OpenAIRE
- Journal :
- Wind and Structures
- Accession number :
- edsair.doi...........c6d55805aa07590986fe676c3464b48d