For the frequency response analysis of the structural-acoustic system with interval parameters, a modified interval perturbation finite element method (MIPFEM) is proposed. In the proposed method, the interval dynamic equilibrium equation of the uncertain structural-acoustic system is established. The interval structural-acoustic dynamic stiffness matrix and the interval force vector are expanded by using the first-order Taylor series; the inversion of the invertible interval structural-acoustic dynamic stiffness matrix is approximated by employing a modified approximate interval-value Sherman–Morrison–Woodbury formula. The proposed method is implemented at an element-by-element level in the finite element framework. Numerical results on a shell structural-acoustic system with interval parameters verify the accuracy and efficiency of the proposed method.
Modified Interval Perturbation Finite Element Method for a Structural-Acoustic System With Interval Parameters
Manuscript received April 15, 2012; final manuscript received November 7, 2012; accepted manuscript posted November 19, 2012; published online May 23, 2013. Assoc. Editor: Weinong Chen.
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Xia, B., and Yu, D. (May 23, 2013). "Modified Interval Perturbation Finite Element Method for a Structural-Acoustic System With Interval Parameters." ASME. J. Appl. Mech. July 2013; 80(4): 041027. https://doi.org/10.1115/1.4023021
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