Interval Finite Element Analysis of Structural Dynamic Problems 2015-01-0484
We analyze the frequency response of structural dynamic systems with uncertainties in load and material properties. We introduce uncertainties in the system as interval numbers, and use Interval Finite Element Method (IFEM). Overestimation due to dependency is reduced using a new decomposition for the stiffness and mass matrices, as well as for the nodal equivalent load. In addition, primary and derived quantities are simultaneously obtained by means of Lagrangian multipliers that are introduced in the total energy of the system. The obtained interval equations are solved by means of a new variant of the iterative enclosure method resulting in guaranteed enclosures of relevant quantities. Several numerical examples show the accuracy and efficiency of the new formulation.
Citation: Xiao, N., Muhanna, R., Fedele, F., and Mullen, R., "Interval Finite Element Analysis of Structural Dynamic Problems," SAE Int. J. Mater. Manf. 8(2):382-389, 2015, https://doi.org/10.4271/2015-01-0484. Download Citation
Author(s):
Naijia Xiao, Rafi L. Muhanna, Francesco Fedele, Robert L. Mullen
Affiliated:
Georgia Institute of Technology, Univ. of South Carolina
Pages: 8
Event:
SAE 2015 World Congress & Exhibition
ISSN:
1946-3979
e-ISSN:
1946-3987
Also in:
SAE International Journal of Materials and Manufacturing-V124-5EJ, SAE International Journal of Materials and Manufacturing-V124-5
Related Topics:
Finite element analysis
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