Efficacy of Interpolation-Enhanced Schemes in Random Wind Field Simulation over Long-Span Bridges
Publication: Journal of Bridge Engineering
Volume 23, Issue 3
Abstract
The spectral representation method (SRM) has been widely used to simulate the random wind field for engineering structures. In the modeling process, the Cholesky decomposition of the cross power spectral density (CPSD) matrix is a critical step in the simulation. However, the decomposition of the CPSD matrix is a time-consuming procedure and the required decomposition becomes a computational challenge as the number of points to be simulated as well as frequency segments becomes larger. Such requirements are often noted in buffeting analysis of long-span bridges because they cover a large expanse. This paper examines the efficacy of the interpolation-enhanced scheme (IES) in improving the computational efficiency of SRM by reducing the number of Cholesky decompositions in the random wind field simulation of long-span bridges. Although the interpolation technique has been used to reduce the computational efforts of SRM, there is no literature on the selection of appropriate parameters concerning the interpolation, which is a critical consideration in the context of modeling efficiency and accuracy in applications. Hence, three vital issues related to the selection of interpolation functions, distribution of interpolated points, and interpolation intervals are discussed via a parametric study. The results show that IES can significantly improve the modeling efficiency of SRM, and the improvement becomes increasingly noteworthy as the number of simulation points increase. Hermite and spline-based interpolations are two interpolation functions of choice that can reduce the computational efforts and minimize the attendant computational error. The exponential and quartic polynomial transform are recommended for making the distribution of interpolated points adapt to the low-frequency concentrated contents of each element in the H matrix. In addition, reasonable suggestions are also provided for the selection of interpolation intervals. A comparison between the IES and the POD-based approach as well the explicit decomposition method demonstrates the effectiveness of IES in terms of both the computational efficiency and accuracy.
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Acknowledgments
The authors would like to gratefully acknowledge support from the National Basic Research Program of China (973 Program) (Grant 2015CB060000), the National Natural Science Foundation of China (Grants 51378111, 51722804, and 51438002), the Fundamental Research Funds for the Central Universities (Grant 2242015K42028), the Funding of the Jiangsu Innovation Program for Graduate Education (Grant KYLX16_0258), the Scientific Research Foundation of the Graduate School of Southeast University (Grant YBJJ1659), and funds provided by Nanjing Tech University and the U.S. National Science Foundation (Grants CMMI 1612843 and CMMI 1520817).
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Published In
Journal of Bridge Engineering
Volume 23 • Issue 3 • March 2018
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Mar 29, 2017
Accepted: Sep 15, 2017
Published online: Dec 21, 2017
Published in print: Mar 1, 2018
Discussion open until: May 21, 2018
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