Dynamic-Condensation-Based Reanalysis by Using the Sherman–Morrison–Woodbury Formula

AIAA Journal ◽  
2021 ◽  
pp. 1-7
Author(s):  
Seongmin Chang ◽  
Maenghyo Cho
Keyword(s):  
Dynamic Condensation

scholarly journals Implementing model reduction to the JuliaFEM platform

2018 ◽  
Vol 51 (1) ◽  
pp. 36-54 ◽  
Author(s):  
Marja Liisa Rapo ◽  
Jukka Aho ◽  
Hannu Koivurova ◽  
Tero Frondelius
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Model Reduction ◽  
Open Source ◽  
Degrees Of Freedom ◽  
Mass Matrices ◽  
Dynamic Condensation ◽  
Dynamic Analyses ◽  
Reduction Methods ◽  
Large Model

JuliaFEM is an open source finite element method solver written in the Julia language. This paper presents an implementation of two common model reduction methods: the Guyan reduction and the Craig-Bampton method. The goal was to implement these algorithms to the JuliaFEM platform and demonstrate that the code works correctly. This paper first describes the JuliaFEM concept briefly after which it presents the theory of model reduction, and finally, it demonstrates the implemented functions in an example model. This paper includes instructions for using the implemented algorithms, and reference the code itself in GitHub. The reduced stiness and mass matrices give the same results in both static and dynamic analyses as the original matrices, which proves that the code works correctly. The code runs smoothly on relatively large model of 12.6 million degrees of freedom. In future, damping could be included in the dynamic condensation now that it has been shown to work.

A dynamic condensation method with free interface substructuring

2019 ◽  
Vol 129 ◽  
pp. 218-234 ◽  
Author(s):  
Jeong-Ho Kim ◽  
Seung-Hwan Boo ◽  
Phill-Seung Lee
Keyword(s):  
Free Interface ◽  
Condensation Method ◽  
Dynamic Condensation

Dynamic Condensation of Structural Systems

2010 ◽  
Vol 97 (4) ◽  
pp. 69-76
Author(s):  
Odine Manfroni ◽  
Davide Rocchi ◽  
Gianluca Tiraferri
Keyword(s):  
Structural Systems ◽  
Dynamic Condensation

Iterative method for dynamic condensation combined with substructuring scheme

2008 ◽  
Vol 317 (1-2) ◽  
pp. 199-218 ◽  
Author(s):  
Dongsoo Choi ◽  
Hyungi Kim ◽  
Maenghyo Cho
Keyword(s):  
Iterative Method ◽  
Dynamic Condensation

Reduction of Hybrid FE-SEA Model for the Mid-Frequency Vibration of Vibro-Acoustic Systems Using Dynamic Condensation Approach

2019 ◽  
Vol 141 (4) ◽  
Author(s):  
Ruxin Gao ◽  
Yahui Zhang ◽  
David Kennedy
Keyword(s):  
Present Method ◽  
Degrees Of Freedom ◽  
Dynamic Stiffness ◽  
Fe Model ◽  
Dynamic Matrix ◽  
Acoustic Cavity ◽  
Hybrid Finite Element ◽  
Flexibility Matrix ◽  
Point Of Interest ◽  
Dynamic Condensation

In this paper, an improved hybrid finite element (FE)-statistical energy analysis (SEA) method is proposed for the mid-frequency vibration of vibro-acoustic systems. Within the framework of the hybrid FE-SEA method, the present method reduces the size of the total dynamic matrix of a vibro-acoustic system by employing dynamic condensation to reduce the order of the dynamic matrix of the acoustic cavity. A fast algorithm is introduced to obtain the dynamic flexibility matrix of the slave degrees-of-freedom (DOFs) of the acoustic cavity FE model, thereby avoiding the direct inverse computation of a large dynamic stiffness matrix at each frequency point of interest. The first numerical example illustrates the validity and efficiency of the present method, while the convergence and accuracy analysis of the proposed method is investigated numerically by the second example.

Estimation of system matrices by dynamic condensation and application to structural modification

AIAA Journal ◽  
1995 ◽  
Vol 33 (11) ◽  
pp. 2199-2204 ◽  
Author(s):  
S. Y. Chen ◽  
Y. G. Tsuei
Keyword(s):  
Structural Modification ◽  
Dynamic Condensation

Comparison between Dynamic Condensation Techniques in Automotive Application

2006 ◽  
Author(s):  
Elvio Bonisoli ◽  
Cristiana Delprete ◽  
Carlo Rosso
Keyword(s):  
Automotive Application ◽  
Dynamic Condensation
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