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Title: Stochastic dynamic analysis of marine risers considering Gaussian system uncertainties
Authors: Ni, PH 
Li, J
Hao, H
Xia, Y 
Keywords: Karhunen-Loeve expansion
Polynomial Chaos expansion
Monte Carlo Simulation
Stochastic Finite Element Method
Model reduction
Issue Date: 2018
Publisher: Academic Press
Source: Journal of sound and vibration, 3 Mar. 2018, v. 416, p. 224-243 How to cite?
Journal: Journal of sound and vibration 
Abstract: This paper performs the stochastic dynamic response analysis of marine risers with material uncertainties, i.e. in the mass density and elastic modulus, by using Stochastic Finite Element Method (SFEM) and model reduction technique. These uncertainties are assumed having Gaussian distributions. The random mass density and elastic modulus are represented by using the Karhunen-Loeve (KL) expansion. The Polynomial Chaos (PC) expansion is adopted to represent the vibration response because the covariance of the output is unknown. Model reduction based on the Iterated Improved Reduced System (IIRS) technique is applied to eliminate the PC coefficients of the slave degrees of freedom to reduce the dimension of the stochastic system. Monte Carlo Simulation (MCS) is conducted to obtain the reference response statistics. Two numerical examples are studied in this paper. The response statistics from the proposed approach are compared with those from MCS. It is noted that the computational time is significantly reduced while the accuracy is kept. The results demonstrate the efficiency of the proposed approach for stochastic dynamic response analysis of marine risers.
ISSN: 0022-460X
EISSN: 1095-8568
DOI: 10.1016/j.jsv.2017.11.049
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