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http://dx.doi.org/10.7734/COSEIK.2018.31.5.275

Study on Application of Isogeometric Analysis Method for the Dynamic Behavior Using a Reduced Order Modeling  

Kim, Min-Geun (Department of Smart Industrial Machine Technology, Korea Institute of Machinery & Materials)
Kim, Soo Min (Department of Smart Industrial Machine Technology, Korea Institute of Machinery & Materials)
Lee, Geun-Ho (Department of Smart Industrial Machine Technology, Korea Institute of Machinery & Materials)
Lee, Hanmin (Department of Smart Industrial Machine Technology, Korea Institute of Machinery & Materials)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.31, no.5, 2018 , pp. 275-282 More about this Journal
Abstract
Using isogeometric analysis(IGA) gives more accurate results for higher order mode in eigenvalue problem than using the finite element method(FEM). This is because the FEM has $C^0$ continuity between elements, whereas IGA guarantee $C^{P-1}$ between elements for p-th order basis functions. In this paper, a mode based reduced model is constructed by using IGA and dynamic behavior analysis is performed using this advantage. Craig-Bampton(CB) method is applied to construct the reduced model. Several numerical examples were performed to compare the eigenvalue analysis results for various order of element basis function by applying the IGA and FEM to simple rod analysis. We have confirmed that numerical error increases in the higher order mode as the continuity between elements decreases in the IGA by allowing internal knots multiplicity. The accuracy of the solution can be improved by using the IGA with high inter-element continuity when high-frequency external force acts on the reduced model for dynamic behavior analysis.
Keywords
isogeometric analysis; finite element method; inter-element continuity; reduced-order modeling;
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