Journal
COMPUTERS & STRUCTURES
Volume 112, Issue -, Pages 235-244Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compstruc.2012.08.010
Keywords
Interval perturbation method; Uncertain-but-bounded parameters; Modified Neumann expansion; Acoustic field prediction
Funding
- Independent Research Project of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body in Hunan University [60870002]
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This paper presents an interval perturbation finite element method (IPFEM) and a modified interval perturbation finite element method (MIPFEM) for the uncertain acoustic field prediction with uncertain-but-bounded parameters. The interval matrix and vector in both methods are expanded by the first-order Taylor series. The interval matrix inverse in IPFEM is approximated by the first-order Neumann series: however, the interval matrix inverse in MIPFEM is approximated by a modified Neumann expansion in which the higher order terms of Neumann series are considered. Numerical results demonstrate the accuracy of MIPFEM to evaluate the intervals of sound pressure response in acoustic field. (C) 2012 Elsevier Ltd. All rights reserved.
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