Experimental modal substructuring to couple and uncouple substructures with flexible fixtures and multi-point connections

Allen, Matthew S.; Mayes, Randall L.; Bergman, Elizabeth

doi:10.1016/j.jsv.2010.06.007

Cited by 117 publications

(76 citation statements)

References 18 publications

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“…Therefore, the condition numbers of these matrices indicate the condition of substructuring as pointed out in references [1] and [5] .…”

Section: Condition Of Substructuringmentioning

confidence: 99%

A Comparison of Reduced Order Modeling Techniques Used in Dynamic Substructuring

Roettgen¹,

Seeger²,

Tai³

et al. 2017

The Mechanics of Jointed Structures

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Experimental dynamic substructuring is a means whereby a mathematical model for a substructure can be obtained experimentally and then coupled to a model for the rest of the assembly to predict the response. Recently, various methods have been proposed that use a transmission simulator to overcome sensitivity to measurement errors and to exercise the interface between the substructures; including the Craig-Bampton, Dual Craig-Bampton, and Craig-Mayes methods. This work compares the advantages and disadvantages of these reduced order modeling strategies for two dynamic substructuring problems. The methods are first used on an analytical beam model to validate the methodologies. Then they are used to obtain an experimental model for structure consisting of a cylinder with several components inside connected to the outside case by foam with uncertain properties. This represents an exceedingly difficult structure to model and so experimental substructuring could be an attractive way to obtain a model of the system.

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“…Therefore, the condition numbers of these matrices indicate the condition of substructuring as pointed out in references [1] and [5] .…”

Section: Condition Of Substructuringmentioning

confidence: 99%

A Comparison of Reduced Order Modeling Techniques Used in Dynamic Substructuring

Roettgen¹,

Seeger²,

Tai³

et al. 2017

The Mechanics of Jointed Structures

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“…They range in complexity from model simplification to the complex where an experimental substructure is attached to the finite element substructure [13]. The work for this project uses three techniques for reducing the size of our model: Craig-Bampton formulation [6], model simplification, and a CMS technique for coupling experimental and analytical models known as the Modal Constraints for Fixtures Subsystems (MCFS) [2,3,13]. The focus of the paper is on the Craig-Bampton formulation, for it is the most widely known.…”

Section: Chapter 2 Surrogate Model Creation Techniques Used For Strucmentioning

confidence: 99%

“…Any surrogate model will have a loss of fidelity due to the model reduction process. The reduced model can consist of many different submodels that have been reduced using potentially different techniques such as CraigBampton formulation [6], Craig-Chang formulation [7], proper orthogonal decomposition [10], or component mode synthesis (CMS) [2,4]; potentially, some submodels may not be reduced at all and consist of the original finite element (FE) mesh. The unreduced submodels may be where loads are applied or contain regions where uncertainty quantification is to be performed.…”

Section: Introductionmentioning

confidence: 99%

The Verification and Uncertainty Quantification of Surrogate Models Used for Structural Analysis

Ross¹,

Urbina²,

Simmermacher³

et al. 2012

53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

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High fidelity modeling of complex systems can require large finite element models to capture the physics of interest. Typically these high-order models take an excessively long time to run. For important studies such as model validation and uncertainty quantification, where probabilistic measures of the response are required, a large number of simulations of the high fidelity model with different parameters are necessary. In addition, some environments, such as an extensive random vibration excitation, require a long simulation time to capture the entire event. A process that produces a highly efficient model from the original high order model is necessary to enable these analyses. These highly efficient models are referred to as surrogate models, for their purpose is to represent the main physics that is of importance, but decrease the computational burden. A critical aspect of any surrogate model is how faithfully the efficient model represents the original high-order model. This paper describes the process for verifying a surrogate model using response quantities of interest and quantifying the introduced uncertainties in the use of the surrogate model. This is done to help any analyst if they use any surrogate model; such has, Craig-Bampton Reductions, POD, etc.

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“…This is the main advantage of this method. Allen [8][9][10] and Mayes [11,12] presented several approaches about coupling the analytical model and some experimental issues related to FBS especially during the measurements of rotational degree of freedoms at the coupling. Neglecting the rotational degree of freedom will affect the FRF of the assembled system, as presented by Manzato recently in [13].…”

Section: Introductionmentioning
confidence: 99%

“…The appropriate coupling type is presented for the investigation of the dynamic behaviour of the structure. Bolted joints have been chosen for this study as these joints are commonly used in most engineering application and are also used by modal analysts in their research related to FBS in [8,10,12]. For the dynamic substructuring model, the FRFs of the subsystems were derived based on the analytical model of the subsystems and are assembled together using rigid and elastic type of coupling.…”

Section: Introductionmentioning
confidence: 99%

The investigation of the dynamic behaviour of a complex assembled structure using the frequency response function based substructuring method
Mirza
¹
,
Rani
²
,
Yunus
³

et al. 2016
MATEC Web Conf.
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Abstract. The frequency response function based substructuring method (FRF-BSM) for modelling and investigating dynamic behaviour of engineering structures has received much attention in recent years among modal analysts. However, the accuracy and efficiency of the predicted dynamic behaviour of the structures via the method is often found to be different from the test data. The discrepancy is believed to be the result of the coupling types used in the modelling. This paper aims to investigate the potential candidates of coupling types for FRF based substructuring in predicting the dynamic behaviour of a complex assembled structure which consists of a large flat span and two simplified aircraft pylons. Modal tests are performed to measure the dynamic behaviour of the assembled structure and its components. The finite element method is used for constructing analytical models of the assembled structure. The FRF-BSM is then used for the assembly of the span and pylons, and also to predict the dynamic behaviour of the assembled structure using rigid and elastic coupling. The comparison of results revealed that elastic coupling has demonstrated better capabilities to represent the bolted joints in the test structure, which may due to the coupling calculated is reasonably representing the stiffness of the bolted joints.

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Experimental modal substructuring to couple and uncouple substructures with flexible fixtures and multi-point connections

Cited by 117 publications

References 18 publications

A Comparison of Reduced Order Modeling Techniques Used in Dynamic Substructuring

A Comparison of Reduced Order Modeling Techniques Used in Dynamic Substructuring

The Verification and Uncertainty Quantification of Surrogate Models Used for Structural Analysis

The investigation of the dynamic behaviour of a complex assembled structure using the frequency response function based substructuring method

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