A Real-Time Transient Analysis of a Functionally Graded Material Plate Using Reduced-Basis MethodsReport as inadecuate




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Based on the hybrid numerical method HNM combining with a reduced-basis method RBM, the real-time transient response of a functionally graded material FGM plates is obtained. The large eigenvalue problem in wavenumber domain has been solved through real-time off-line-on-line calculation. At off-line stage, a reduced-basis space is constructed in sample wavenumbers according to the solved eigenvalue problems. The matrices independent of parameters are projected onto the reduced-basis spaces. At on-line stage, the reduced eigenvalue problems of the arbitrary wavenumbers are built. Subsequently, the responses in wavenumber domain are obtained by the approximated eigen-pairs. Because of the application of RBM, the computational cost of transient displacement analysis of FGM plate is decreased significantly, while the accuracy of the solution and the physics of the structure are still retained. The efficiency and validity of the proposed method are demonstrated through a numerical example.

KEYWORDS

Reduced-Basis Method, Transient Response, Functionally Graded Material, Hybrid Numerical Method, Real-Time

Cite this paper

Huang, Y. and Huang, Y. 2015 A Real-Time Transient Analysis of a Functionally Graded Material Plate Using Reduced-Basis Methods. Advances in Linear Algebra & Matrix Theory, 5, 98-108. doi: 10.4236-alamt.2015.53010.





Author: Yonghui Huang1*, Yi Huang2

Source: http://www.scirp.org/



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