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Application of Craig-Bampton Reduction Technique and 2D Dynamic Infinite Element Modeling Approach to Membrane Vibration Problems

Published online by Cambridge University Press:  26 December 2018

D. S. Liu  and
Y. W. Chen
D. S. Liu
Affiliation:
Department of Mechanical Engineering and Advanced Institute of Manufacturing with High-Tech Innovations National Chung Cheng University Chiayi, Taiwan
Y. W. Chen*
Affiliation:
Department of Mechanical Engineering and Advanced Institute of Manufacturing with High-Tech Innovations National Chung Cheng University Chiayi, Taiwan
*
* Corresponding author ([email protected])
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Abstract

An approach is presented for solving membrane vibration problems using an integrated scheme consisting of the Craig-Bampton (CB) reduction technique and a 2D dynamic infinite element modeling (DIEM) method. In the proposed CB-DIEM scheme, the substructure domain is partitioned into multiple layers of geometrically-similar infinite elements (IEs) which use only the data of the boundary nodes. A convergence criterion based on the first invariant of the DIEM mass matrix is used to determine the optimal parameters of the CB-DIEM scheme, namely the proportionality ratio and number of layers in the DIEM partitioning process and the number of retained frequency modes in the CB reduction method. Furthermore, in implementing the CB method, the inversion of the global stiffness matrix is calculated using only the stiffness matrix of the first element layer. Having reduced the DIEM model, a coupled DIE-FE algorithm is employed to model the dynamic problems of the full structure, which removes the respective methods disadvantages while keeping their advantages. The validity and performance of the proposed CB-DIEM method are investigated by means of three illustrative problems.

Keywords

Craig-Bampton methodDynamic infinite element modelMembrane vibrationEigenvalue problem
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 4 , August 2019 , pp. 513 - 525
Copyright
© The Society of Theoretical and Applied Mechanics 2018 

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