Wind Velocity Field Simulation Based on Enhanced Closed-Form Solution of Cholesky Decomposition

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.