Comparison on numerical solutions for mid-frequency response analysis of finite element linear systems

Authors:
Jin Hwan Ko;Doyoung Byun
Affiliations:
School of Mechanical and Aerospace Engineering, Seoul National University, Daehak-dong, Gwanak-gu, Seoul 151-742, South Korea;Department of Aerospace Information Engineering, Konkuk University, 1 Hwayang-dong, Kwangjin-Gu, Seoul 143-701, South Korea
Venue:
Computers and Structures
Year:
2010

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Abstract

Mid-frequency response analysis often faces computational difficulties when a conventional modal approach is used for a finite element linear system. In this paper, the computational burden is relieved by frequency sweep algorithm or mode acceleration method for a reduced-order system constructed by algebraic substructuring, a variant of model order reduction. The two methods are compared with the help of numerical experiments and their computational complexity. As demonstrated by the finite element simulations, in which proportional damping is assumed, of a turbo-prop aircraft and a ring resonator, the frequency sweep algorithm for reduced-order systems shows the best performance among all considered numerical solutions, including the conventional approach.