Variational-Based Reduced-Order Model in Dynamic Substructuring of Coupled Structures Through a Dissipative Physical Interface: Recent Advances

Ohayon, Roger; Soize, Christian; Sampaio, Rubens

doi:10.1007/s11831-014-9107-y

Cited by 13 publications

(5 citation statements)

References 71 publications

(65 reference statements)

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“…The concept of entropy theory is an abstract notion of probability distribution, which can represent the probability of any research object. Therefore, dissipative structure theory and information entropy theory have been widely applied and extended to physical [32], chemical [33], biological [34], social [35], and economic [36] systems to describe the relationship between competition and cooperation amongst the elements of a system and the degree of disorder of a system or material movement.…”

Section: Dissipative Structure Theory and Entropy Theory In Rural Stumentioning

confidence: 99%

Understanding the Rural Production Space System: A Case Study in Jiangjin, China

Wang

REN

et al. 2019

Sustainability

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Rural China is experiencing a phase of rapid transition and new conflicts have arisen between the sharp shrink of rural production space and the high goal of rural economic development due to the spatial competition amongst multiple stakeholders and the disordered spatial allocation of rural production resources. To explore how conflicts can be alleviated, this study applies dissipative structure theory to the rural production space system (RPSS). It points out that RPSS belongs to the dissipative structure category, which exhibits a series of characteristics, i.e., an opening system, being far from equilibrium, a nonlinearity regime and random fluctuations. The information entropy principle is introduced to RPSS to build a quantitative analysis model and to quantify the variation in the entropy changes of RPSS. This study uses the Jiangjin District, located in southwestern Chongqing (China), as an example to analyze the entropy changes in its RPSS, by applying the quantitative analysis model, and to identify the reasons for these changes. Results are helpful in overcoming the spatial allocation of rural production resources and in providing a means to enable the sustainable transformation of RPSS.

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Section: Dissipative Structure Theory and Entropy Theory In Rural Stumentioning

confidence: 99%

Understanding the Rural Production Space System: A Case Study in Jiangjin, China

Wang

REN

et al. 2019

Sustainability

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“…Benfield and Hruda in 1971 [22] proposed a component mode substitution using the Craig-Bampton method for each appendage. Reviews concerning the substructuring techniques can be found in [55,61,125,143,154,157].…”

Section: Case Of Nonhomogeneous Uncertainties Taken Into Account By Umentioning

confidence: 99%

Uncertainty Quantification

Soize

2017

Interdisciplinary Applied Mathematics

131

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“…The substructuring techniques have deeply been studied [20,21,22]. As written in [23]: "historically, the concept of substructures was first introduced by Argyris and Kelsey in 1959 [24] and by Przemieniecki in 1963 [25] and was extended by Guyan and Irons [7,26]. Hurty [27,28] considered the case of two substructures coupled through a geometrical interface.…”

Section: Introductionmentioning

confidence: 99%

Multi-frequency model reduction for uncertainty quantification in computational vibroacoutics

et al. 2022

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This work is devoted to the vibroacoustics of complex systems over a broad-frequency band of analysis. The considered system is composed of a complex structure coupled with an internal acoustic cavity. On one hand, the global displacements are associated with the main stiff part and on the other hand, the local displacements are associated with the preponderant vibrations of the flexible subparts. Such complex structures induce interweaving of these two types of displacements, which introduce an overlap of the usual three frequency bands (low-, medium-and high-frequency bands (LF, MF, and HF). A reduced-order computational vibroacoustic model is constructed by using a classical modal analysis with the elastic and acoustic modes. Nevertheless, the dimension of such reduced-order model (ROM) is still important when there is an overlap for each one of the three frequency bands. A multi-frequency reduced-order model is then constructed for the structure over the LF, MF, and HF bands. The strategy is based on a multilevel projection consisting in introducing three reduced-order bases that are obtained by using a spatial filtering methodology. To filter out the local displacements in the structure, a set of global shape functions is introduced. In addition, a classical ROM using acoustic modes is carried out for the acoustic cavity. Then, the coupling between the multilevel ROM and the acoustic ROM is presented. A nonparametric probabilistic modeling is then proposed to take into account the model uncertainties induced by modeling errors that increase with the frequency. The proposed approach is applied to a large-scale computational vibroacoustic model of a car.

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Variational-Based Reduced-Order Model in Dynamic Substructuring of Coupled Structures Through a Dissipative Physical Interface: Recent Advances

Cited by 13 publications

References 71 publications

Understanding the Rural Production Space System: A Case Study in Jiangjin, China

Understanding the Rural Production Space System: A Case Study in Jiangjin, China

Uncertainty Quantification

Multi-frequency model reduction for uncertainty quantification in computational vibroacoutics

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