Clarification about Component Mode Synthesis Methods for Substructures with Physical Flexible Interfaces

Ohayon, Roger; Soize, Christian

doi:10.5139/ijass.2014.15.2.113

Cited by 9 publications

(4 citation statements)

References 82 publications

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“…CMS techniques are widely used for the dynamic analysis of complex structures [20,21,22,23,24,25,26,30,31]. They can be classified as fixed-interface methods, free-interface methods, and hybrid methods, depending upon whether the mode shapes used to define substructure coordinates are obtained with the interface coordinates fixed, free, or a combination of them.…”

Section: Methodsmentioning

confidence: 99%

Dynamic Modeling of the Multiring Disk Resonator Gyroscope

Xiao

Zhou

et al. 2019

Micromachines

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The multiring disk resonator gyroscope (DRG) has been a candidate for high performance gyroscopes, however nowadays the finite element method (FEM) is the main method for its analysis due to its complex structure. In this paper we propose a new method to mathematically model the DRG for its vibrating modes and lumped parameters based on the component mode synthesis (CMS) method. Firstly, the natural frequencies and the associated mode shapes of the DRG are mathematically modeled and a comparison with the FEM results is conducted. It shows that the mode shapes of DRG obtained by FEM and mathematical modeling are identical and in the full ranges of geometrical parameters, natural frequency error of the simulation, and calculation results are limited in ±15%. It demonstrates the effectivity and feasibility of the mathematical modeling method. Then, based on the calculated natural frequencies and mode shapes, the lumped mass-spring model of the DRG and effects of geometry parameters on the lumped mass-spring parameters are investigated, which can be used on the design of the DRG. This mathematical modeling method can effectively improve the analyzing efficiency of the DRG and the method can also be used on the analysis of other complex multiring-type resonators.

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Section: Methodsmentioning

confidence: 99%

Dynamic Modeling of the Multiring Disk Resonator Gyroscope

Xiao

Zhou

et al. 2019

Micromachines

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“…For the structures considered, the techniques of dynamic substructuring are often very effective. As explained in the Review Paper [21], the concept of substructures was first introduced by Argyris and Kelsey in 1959 [22] and by Przemieniecki in 1963 [23] who introduced the static boundary functions. This work was extended by Guyan, Irons, and Hurty [24,25,26,27].…”

Section: Introduction (I) Objectives Of the Papermentioning

confidence: 99%

Updating an uncertain and expensive computational model in structural dynamics based on one single target FRF using a probabilistic learning tool

et al. 2023

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The paper presents an appropriate and efficient methodology for updating the control parameters of very large uncertain computational models, which are used for analyzing the linear vibrations in the frequency domain of highly complex structures for which there are an enormous number of intertwined local and global elastic structural modes in the broad frequency band of analysis. Moreover, the numerical cost of a single evaluation of the frequency response functions with the computational model is assumed to be very high and only one experimental frequency response function is available as a target. For decreasing the numerical cost of this challenging problem, a parameterized reduced-order model is constructed. Nevertheless, this reduction is not sufficient to be able to solve the non-convex optimization problem related to the updating. Consequently, for avoiding the call to the computational model, the probabilistic learning on manifolds is used for generating a learned set from a training set, which, coupled with conditional statistics, allows the evaluation of the cost function without calling the computational model. A numerical illustration is presented for validating the proposed methodology.

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“…This work deals with ROMs which use enriched Ritz or/and normal mode bases with static residual vectors. These ROMs can be made within two configurations: first-level ROMs, which are based on direct reduction technique, and n th -level ROMs, which are extended to the component mode synthesis (CMS) approaches (Ohayon and Soize, 2014). The latter allow enriching and reducing the components (substructures) being uncertain and/or containing localized nonlinearities independently of the others.…”

Section: Introductionmentioning

confidence: 99%

Uncertainty quantification/propagation in nonlinear models

Chikhaoui

Bouhaddi

Kacem

et al. 2017

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Purpose The purpose of this paper is to develop robust metamodels, which allow propagating parametric uncertainties, in the presence of localized nonlinearities, with reduced cost and without significant loss of accuracy. Design/methodology/approach The proposed metamodels combine the generalized polynomial chaos expansion (gPCE) for the uncertainty propagation and reduced order models (ROMs). Based on the computation of deterministic responses, the gPCE requires prohibitive computational time for large-size finite element models, large number of uncertain parameters and presence of nonlinearities. To overcome this issue, a first metamodel is created by combining the gPCE and a ROM based on the enrichment of the truncated Ritz basis using static residuals taking into account the stochastic and nonlinear effects. The extension to the Craig–Bampton approach leads to a second metamodel. Findings Implementing the metamodels to approximate the time responses of a frame and a coupled micro-beams structure containing localized nonlinearities and stochastic parameters permits to significantly reduce computation cost with acceptable loss of accuracy, with respect to the reference Latin Hypercube Sampling method. Originality/value The proposed combination of the gPCE and the ROMs leads to a computationally efficient and accurate tool for robust design in the presence of parametric uncertainties and localized nonlinearities.

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Clarification about Component Mode Synthesis Methods for Substructures with Physical Flexible Interfaces

Cited by 9 publications

References 82 publications

Dynamic Modeling of the Multiring Disk Resonator Gyroscope

Dynamic Modeling of the Multiring Disk Resonator Gyroscope

Updating an uncertain and expensive computational model in structural dynamics based on one single target FRF using a probabilistic learning tool

Uncertainty quantification/propagation in nonlinear models

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