On the finite element model reduction methods in structural dynamics = 유한요소 구조동역학 모델의 축소기법 개발

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Finite element model reduction methods have been widely used to reduce the computational costs of structural analysis and design. Using model reduction methods, global (original) models can be approximated by reduced models with much smaller matrix size. Although various model reduction methods such as dynamic condensation and component mode synthesis (CMS) have been proposed over the last several decades, many challenging issues still must still be addressed to improve the solution accuracy and computational efficiency of reduced models. The work in this thesis focuses on the development of enhanced model reduction, general mode selection, and accurate error estimation methods to overcome the known disadvantages and limitations of existing model reduction methods.In this work, we first develop a new component mode synthesis enhancing the Craig-Bampton (CB) method, the most popular model reduction method. To develop the enhanced CB method, the original transformation matrix in the CB method is enhanced considering the residual flexibility that contains the residual substructural modal effect, and the unknown eigenvalue in the enhanced transformation matrix is approximated by using O`callahan`s approach to Guyan reduction. Using the newly defined transformation matrix, global FE models can be more accurately approximated. We demonstrate its performance through numerical examples.In model reduction methods, only a small proportion of the dominant degree of freedoms (DOFs) or the substructural modes is retained in the reduced model. Therefore, the accuracy of the reduced model highly depends on the choice of the retained dominant DOFs or substructural modes. In this work, we develop a new mode selection method for CMS methods. In contrast to the frequency cut-off mode selection method, in which substructural modes in sequence from the lowest substructural frequency to a cut-off frequency are retained, the proposed method selects the dominant substructural modes i...
Advisors
Lee, Phill-Seungresearcher이필승
Description
한국과학기술원 : 해양시스템공학전공,
Publisher
한국과학기술원
Issue Date
2014
Identifier
591872/325007  / 020105053
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 해양시스템공학전공, 2014.8, [ viii, 116 p. ]

Keywords

structural dynamics; 부분구조합성법; 오차추정기법; 축소기법; 유한요소법; 구조동역학; Finite element method; Model reduction method; Error estimation method; Component mode synthesis

URI
http://hdl.handle.net/10203/197596
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=591872&flag=dissertation
Appears in Collection
OSE-Theses_Ph.D.(박사논문)
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