Dynamic condensation in a damped system through rational selection of primary degrees of freedom

Jeong, Joonho; Baek, Sungmin; Cho, Maenghyo

doi:10.1016/j.jsv.2011.11.017

Cited by 20 publications

(5 citation statements)

References 25 publications

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“…Four random DOFs were selected as master DOF, which were 3, 7, 14, and DOF 16 was both master and input DOF. As investigated in previous studies [38,40], the selection of master DOF is another important topic in dynamic condensation. Although the selection of the master DOF affects the dynamic behavior of the ROM, their causality is not fully revealed yet.…”

Section: Example 1: 16-dof Mass-spring Systemmentioning

confidence: 97%

“…In the present study, we neglected the damping of the system without losing the generality of the proposed method. Previous research [38,39] has shown that even though we consider damping of the system resulting in a complex ROB matrix, the basic procedure of constructing ROM does not change, which is projecting high-dimensional field variables into low-dimensional space. Hence, the response vector is obtained as follows:…”

Section: Frequency Response Analysis Based On Dynamic Condensationmentioning

confidence: 99%

“…×𝑁 are the mass, damping, and stiffness matriegree of freedom of the system, and 𝑖 is the imr and structural force input vector are 𝐮 ∶ 𝒮 → ℂ 𝑁 sents an impedance matrix. Solving Equation (2) m. e damping of the system without losing the genresearch [38,39] has shown that even though we g in a complex ROB matrix, the basic procedure hich is projecting high-dimensional field variathe response vector is obtained as follows:…”

Section: Frequency Response Analysis Based On Dynamic Condensationmentioning

confidence: 99%

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An Adaptive Frequency Sampling Algorithm for Dynamic Condensation-Based Frequency Response Analysis

et al. 2023

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This paper proposed an efficient and adaptive frequency sampling algorithm for frequency response analysis using dynamic condensation-based reduced-order modeling. For the degree of freedom-based model reduction method, the reduced-order basis becomes a frequency-dependent matrix since the relationship between master and slave degrees of freedom stems from partial equations of a second-order dynamical system. Such frequency-dependency makes the analysis inefficient for investigating the frequency response of the system. Considering that the coverage of a local reduced-order basis at a single frequency varies depending on the frequency, a new frequency sampling algorithm was proposed with a strategy of constructing multiple local reduced-order models (ROMs) at sample frequencies. For adaptive sampling, the frequency range of a local ROM was evaluated, and a new sample was added if there was a gap between two adjacent ROMs. As a result, the accuracy of the local ROM can be estimated, and the efficiency in the online stage was greatly enhanced. The proposed method was verified by performing frequency response analysis with several numerical examples, including a large-scale structural and dynamic system.

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Section: Example 1: 16-dof Mass-spring Systemmentioning

confidence: 97%

Section: Frequency Response Analysis Based On Dynamic Condensationmentioning

confidence: 99%

Section: Frequency Response Analysis Based On Dynamic Condensationmentioning

confidence: 99%

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An Adaptive Frequency Sampling Algorithm for Dynamic Condensation-Based Frequency Response Analysis

et al. 2023

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“…The additional master DOFs, gathered in the designed element, contaminate the original rational selection of master DOFs. Since improper selection of master DOFs leads to poor eigensolutions and eigensensitivities in dynamic condensation approach, the accuracy and efficiency of the FE model updating is affected greatly [35][36][37].…”

Section: Dynamic Condensation Approach For Eigensensitivitiesmentioning

confidence: 99%

Sensitivity-Based Finite Element Model Updating Using Dynamic Condensation Approach

Zhu

Tian

Weng

et al. 2018

Int. J. Str. Stab. Dyn.

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An accurate finite element (FE) model is frequently used in damage detection, optimization design, reliability analysis, nonlinear analysis, and so forth. The FE model updating of large-scale structures is usually time-consuming or even impossible. This paper proposes a dynamic condensation approach for model updating of large-scale structures. The eigensolutions are calculated from a condensed eigenequation and the eigensensitivities are calculated without selection of additional master DOFs, which is helpful to improve the efficiency of FE model updating. The proposed model updating method is applied to an eight-storey frame and the Jun Shan Yangtze Bridge. By employing the dynamic condensation approach, the number of iterations for the eigensensitivities is gradually increased according to the model updating process, which contributes to accelerate the convergence of model updating.

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“…Kim et al [33] integrated the free-interface substructuring method with the dynamic condensation method to handle relatively large and more complex structures efficiently. As the selection of master DOFs is closely related to the accuracy and efficiency of dynamic condensation methods, Jeong et al [34] proposed a rational master DOFs selection method via energy distribution matrices. Yin and Zhu [35] interpreted measured data with Bayesian inference to select master DOFs for dynamic reduction-based damage detection methods optimally.…”

Section: Introductionmentioning

confidence: 99%

Dynamic condensation approach for response-based finite element model updating of large-scale structures

Tian

Weng

Xia

et al. 2021

Journal of Sound and Vibration

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Dynamic condensation in a damped system through rational selection of primary degrees of freedom

Cited by 20 publications

References 25 publications

An Adaptive Frequency Sampling Algorithm for Dynamic Condensation-Based Frequency Response Analysis

An Adaptive Frequency Sampling Algorithm for Dynamic Condensation-Based Frequency Response Analysis

Sensitivity-Based Finite Element Model Updating Using Dynamic Condensation Approach

Dynamic condensation approach for response-based finite element model updating of large-scale structures

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