Wind Velocity Field Simulation Based on Enhanced Closed-Form Solution of Cholesky Decomposition
Publication: Journal of Engineering Mechanics
Volume 146, Issue 2
Abstract
The spectral matrix decomposition is a significant task for a wind velocity field simulation. However, the decomposition requires significant computational time and memory for large-scale structures with a large number of simulation points. To reduce the computational demand, the explicitly expressed Cholesky decomposition of a spectral matrix has been used widely to simulate the wind velocity field evenly distributed along a horizontal axis. In this study, a new closed-form solution of the Cholesky decomposition is proposed for the wind velocity field simulation in which the simulation points can be arbitrarily distributed along the horizontal axis, the autospectra at various points can be different, and the wave passage effect can be considered. Additionally, this closed-form solution is extended to the wind velocity fields along vertical and inclined axes with little approximation. Further, the proposed approach is applied to the nonstationary wind velocity field simulation and random vibration analysis. Finally, numerical examples demonstrate that the proposed approach has good performance.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request.
Acknowledgments
The support by the National Natural Science Foundation of China (Grant No. 51720105005), 111 Project (Grant No. B18062), Shandong Provincial Natural Science Foundation (ZR2016YL005), and the Science and Technology Development Program of Shandong Province (2018GGX104006) is greatly appreciated.
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 2 • February 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Oct 31, 2018
Accepted: Jun 20, 2019
Published online: Dec 7, 2019
Published in print: Feb 1, 2020
Discussion open until: May 7, 2020
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