Frequency Response-Based Uncertainty Analysis of Vibration System Utilizing Multiple Response Gaussian Process

[+] Author and Article Information
Wangbai Pan

220 Handan Road 2617 East Guanghua Tower Shanghai, Shanghai 200433 China 14110290001@fudan.edu.cn

Guoan Tang

Handan Rd 220# Room 2606, East Main Building, Guanghua Tower Shanghai, 200433 China tangguoan@fudan.edu.cn

Jiong Tang

191 Auditorium Road, U3139 Storrs, CT 06269 jtang@engr.uconn.edu

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received April 16, 2018; final manuscript received April 18, 2019; published online xx xx, xxxx. Assoc. Editor: Maurizio Porfiri.

ASME doi:10.1115/1.4043609 History: Received April 16, 2018; Accepted April 18, 2019


This research concerns the uncertainty analysis and quantification of vibration system utilizing the frequency response function (FRF) representation with statistical metamodeling. Different from previous statistical metamodels that are built for individual frequency points, in this research we take advantage of the inherent correlation of FRF values at different frequency points and resort to the multiple response Gaussian process (MRGP) approach. To enable the analysis, vector fitting method is adopted to represent an FRF using a reduced set of parameters with high accuracy. Owing to the efficiency and accuracy of the statistical metamodel with a small set of parameters, Bayesian inference can then be incorporated to realize model updating and uncertainty identification as new measurement/evidence is acquired. The MRGP metamodel developed under this new framework can be used effectively for two-way uncertainty propagation analysis, i.e., FRF prediction and uncertainty identification. Case studies are conducted for illustration and verification.

Copyright © 2019 by ASME
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