A strategy to stabilize the transient analysis and increase the approximation accuracy of dual Craig-Bampton reduced systems

Gruber, Fabian; Gille, Max; Rixen, Daniel J.

doi:10.1016/j.finel.2019.03.003

Cited by 4 publications

(2 citation statements)

References 27 publications

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“…The aforementioned research focuses on improving the accuracy of substructuring method to calculate eigensolutions and eigensensitivity. Few research focuses on the substructuring method to calculate time history response and response sensitivity with accurate compensation of discarded modes (Gruber, 2019). It is difficult to extend the concept of higher-order residual flexibility to the substructuring method in calculation of time history response and response sensitivity because the damping matrix and external force need to be reduced for the time domain case.…”

Section: Introductionmentioning

confidence: 99%

Efficient calculation of higher order time history response derivatives by substructuring method

Li,

Wu,

Weng

2024

Advances in Structural Engineering

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Time history response derivatives with respect to the design variables are frequently used in optimization design, damage detection, structural control, etc. This paper proposes a substructuring method for efficient calculation of higher order time history response derivatives of large-scale structures. First, the global structure is disassembled into several small substructures and the substructural displacement is projected onto the range space of a few substructural master eigenvectors. Afterwards, the derivative of substructural master eigenvectors of a few substructures containing the design variables are assembled to form the reduced first, second, and higher order sensitivity equations with a size of the number of master eigenvectors. The equivalent eigenvector which relates the slave and master eigenvectors is derived to compensate for the inertial effect of discarded slave eigenvectors. Finally, the first, second, and higher order time history response derivatives of global large-scale structure are efficiently solved from the reduced sensitivity equations by using Newmark- β method. A numerical one-bay plane frame and a numerical highway bridge are applied to verify the accuracy and efficiency of proposed substructuring method.

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Section: Introductionmentioning

confidence: 99%

Efficient calculation of higher order time history response derivatives by substructuring method

Li,

Wu,

Weng

2024

Advances in Structural Engineering

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“…In any type of the CMS methods, the most important and difficult task is choosing an appropriate reduced component modes involving modal reduction and mode synthesis, and this continues to be an area of research [15][16][17][18][19][20][21][22]. Lots of work have been done to make improvements on modal reduction of internal DOFs [23][24][25][26][27], but no order reduction is performed on the boundary. Though the internal DOFs dominate the FE models of substructures, they are greatly reduced by the process of coordinate transformations based on traditional CMS theory, as only a small number of low-frequency modes are truncated.…”

Section: Introductionmentioning

confidence: 99%

Reduction of Coupling Interface Degrees of Freedom in Mixed-Interface Component Mode Synthesis

Tang

Qin

2020

Applied Sciences

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A new coupling interface degrees of freedom (DOFs) reduction technique for the mixed-interface component mode synthesis (MCMS) method is proposed, which referred to as the MCMS-rid method. This approach employs a set of shape functions via the linear interpolation (LI) in finite element method (FEM) to realize interface nodal coordinate transformations for each substructure, and then only a small number of interpolation basic nodes (IBNs) will be involved in mode synthesis and the following dynamic analysis. Unlike the majority of available CMS methods that retain a full dimension of the coupling interface DOFs, the MCMS-rid method allows to reduce the coupling interface DOFs significantly and enhance the computational efficiency. Three numerical models, including a rectangular beam with two ends fixed, a non-rectangular beam with the button fixed and a simplified dam-foundation system with different material properties, are presented to demonstrate the computational accuracy and efficiency of the proposed method. The results indicate that favourable accuracy with a least number of retained DOFs involved in mode synthesis can be obtained for solving eigenvalue problems when compared with other MCMS methods. The optimal number and distribution of the IBNs are discussed on structural dynamic analysis as well. It is shown that the more the IBNs are involved in mode synthesis, the better the precision that will be received. Furthermore, when the sub-regions are nearly square, the precision is best.

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Substructuring Concepts and Component Mode Synthesis

Rixen

2022

Handbook of Experimental Structural Dynamics

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A strategy to stabilize the transient analysis and increase the approximation accuracy of dual Craig-Bampton reduced systems

Cited by 4 publications

References 27 publications

Efficient calculation of higher order time history response derivatives by substructuring method

Efficient calculation of higher order time history response derivatives by substructuring method

Reduction of Coupling Interface Degrees of Freedom in Mixed-Interface Component Mode Synthesis

Substructuring Concepts and Component Mode Synthesis

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