Details
| Original language | English |
|---|---|
| Article number | 1850006 |
| Journal | International Journal of Computational Methods |
| Volume | 15 |
| Issue number | 2 |
| Early online date | 19 May 2017 |
| Publication status | Published - 2018 |
Abstract
For exterior acoustic field problems that lack sufficient information to construct precise probability distributions, an interval random model is introduced to deal with the uncertain parameters. In the interval random model, the probability variables are employed to treat the uncertain parameters, whereas some distribution parameters of random variables are modeled as interval variables instead of precise values. Based on the interval random model, the interval random finite element equation for exterior acoustic fields is established and a hybrid uncertain analysis method is presented to solve the exterior acoustic field problem with interval random variables. In the presented method, by temporarily neglecting the uncertainties of interval variables, a first-order stochastic perturbation method is adopted to calculate the expectation and the variance of the response vector. According to the monotonicity of the expectation and variance of the response vector with respect to the interval variables, the lower and upper bounds of the expectation and variance of the response vector can be calculated by the vertex method. In addition, in order to ensure accuracy of the proposed method, the subinterval technique is introduced and investigated. The numerical example of a square flexible shell model is presented to demonstrate the effectiveness of the proposed method.
Keywords
- interval random variable, matrix perturbation method, random moment method, subinterval technique, Uncertain exterior acoustic field prediction, vertex method
ASJC Scopus subject areas
- Computer Science(all)
- Computer Science (miscellaneous)
- Mathematics(all)
- Computational Mathematics
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In: International Journal of Computational Methods, Vol. 15, No. 2, 1850006, 2018.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Hybrid Uncertain Analysis for Exterior Acoustic Field Prediction with Interval Random Parameters
AU - Chen, Ning
AU - Yu, Dejie
AU - Xia, Baizhan
AU - Beer, Michael
N1 - © 2018 World Scientific Publishing Company
PY - 2018
Y1 - 2018
N2 - For exterior acoustic field problems that lack sufficient information to construct precise probability distributions, an interval random model is introduced to deal with the uncertain parameters. In the interval random model, the probability variables are employed to treat the uncertain parameters, whereas some distribution parameters of random variables are modeled as interval variables instead of precise values. Based on the interval random model, the interval random finite element equation for exterior acoustic fields is established and a hybrid uncertain analysis method is presented to solve the exterior acoustic field problem with interval random variables. In the presented method, by temporarily neglecting the uncertainties of interval variables, a first-order stochastic perturbation method is adopted to calculate the expectation and the variance of the response vector. According to the monotonicity of the expectation and variance of the response vector with respect to the interval variables, the lower and upper bounds of the expectation and variance of the response vector can be calculated by the vertex method. In addition, in order to ensure accuracy of the proposed method, the subinterval technique is introduced and investigated. The numerical example of a square flexible shell model is presented to demonstrate the effectiveness of the proposed method.
AB - For exterior acoustic field problems that lack sufficient information to construct precise probability distributions, an interval random model is introduced to deal with the uncertain parameters. In the interval random model, the probability variables are employed to treat the uncertain parameters, whereas some distribution parameters of random variables are modeled as interval variables instead of precise values. Based on the interval random model, the interval random finite element equation for exterior acoustic fields is established and a hybrid uncertain analysis method is presented to solve the exterior acoustic field problem with interval random variables. In the presented method, by temporarily neglecting the uncertainties of interval variables, a first-order stochastic perturbation method is adopted to calculate the expectation and the variance of the response vector. According to the monotonicity of the expectation and variance of the response vector with respect to the interval variables, the lower and upper bounds of the expectation and variance of the response vector can be calculated by the vertex method. In addition, in order to ensure accuracy of the proposed method, the subinterval technique is introduced and investigated. The numerical example of a square flexible shell model is presented to demonstrate the effectiveness of the proposed method.
KW - interval random variable
KW - matrix perturbation method
KW - random moment method
KW - subinterval technique
KW - Uncertain exterior acoustic field prediction
KW - vertex method
UR - http://www.scopus.com/inward/record.url?scp=85030226694&partnerID=8YFLogxK
U2 - 10.1142/S0219876218500068
DO - 10.1142/S0219876218500068
M3 - Article
AN - SCOPUS:85030226694
VL - 15
JO - International Journal of Computational Methods
JF - International Journal of Computational Methods
SN - 0219-8762
IS - 2
M1 - 1850006
ER -