Finite Element Modeling

Qu, Zu-Qing

doi:10.1007/978-1-4471-3827-3_2

Cited by 20 publications

(19 citation statements)

References 1 publication

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“…However, SEREP significantly deteriorates the accuracy of expanded results if the difference between analytical modes and experimentally measured modes is relatively large. This may happen in structures with extreme modeling errors in analytical model (Chen, 2010; Qu, 2013).…”

Section: Serepmentioning

confidence: 99%

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Efficiency of grey wolf optimization algorithm for damage detection of skeletal structures via expanded mode shapes

Ghannadi

Kourehli

Noori

et al. 2020

Advances in Structural Engineering

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Vibration-based structural damage identification through optimization techniques has become an interesting research topic in recent years. Dynamic characteristics such as frequencies and mode shapes are used to construct the objective function. The objective functions based on only frequencies are not very sensitive to damage in large structures. However, objective functions based on both mode shapes and frequencies are very effective. In real measurement condition, the number of installed sensors is limited, and there are no economic reasons for measuring the mode shapes at all degrees of freedom. In this kind of circumstances, mode expansion methods are used to address the incompleteness of mode shapes. In this article, the system equivalent reduction and expansion process is applied to determine the unmeasured mode shapes. Two experimental examples including a cantilever beam and a truss tower are investigated to show system equivalent reduction and expansion process’ efficiency in estimating unmeasured mode shapes. The results show that the technique used for expansion is influential. Damage identification is formulated as an optimization problem, and the residual force vector based on expanded mode shapes is considered as an objective function. In order to minimize the objective function, grey wolf optimization and Harris hawks optimization are used. Numerical studies on a 56-bar dome space truss and experimental validation on a steel frame are performed to demonstrate the efficiency of the developed approach. Both numerical and experimental results indicate that the combination of the grey wolf optimization and expanded mode shapes with system equivalent reduction and expansion process can provide a reliable approach for determining the severities and locations of damage of skeletal structures when it compares with those obtained by Harris hawks optimization.

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Section: Serepmentioning

confidence: 99%

“…where the subscript Exp denotes the expanded mode shape, and subscript Test denotes the experimental mode shapes. T is the transformation matrix which transforms incomplete measured DOFs to the full set of DOFs (Qu, 2013).…”

Section: Serepmentioning

confidence: 99%

Efficiency of grey wolf optimization algorithm for damage detection of skeletal structures via expanded mode shapes

Ghannadi

Kourehli

Noori

et al. 2020

Advances in Structural Engineering

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“…Modal TAM has a very high accuracy since the mode shapes of the FEM are used to formulate the transformation matrix. It has been successfully implemented on several large structures (Mains, 2013; Qu, 2004).…”

Section: Theoretical Backgroundmentioning

confidence: 99%

An effective method for damage assessment based on limited measured locations in skeletal structures

Ghannadi

Kourehli

2020

Advances in Structural Engineering

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This article proposes a new damage detection method using Modal Test Analysis Model and artificial neural networks. A challenge in damage detection problems is lack of measured degrees of freedom, as well as limitations of attached sensors. Modal Test Analysis Model has been used in order to estimate unmeasured degrees of freedom. An experimental cantilever beam was used to show Modal Test Analysis Model’s efficiency in estimation of unmeasured mode shapes. To solve the inverse problem of damage detection, mode shapes estimated by Modal Test Analysis Model were used as inputs, and characteristics of the damage served as outputs of the artificial neural network. The sensitivity analysis carried out for each example showing the performance of artificial neural network after mode shape expansion was efficiently improved. Three numerical examples for plane and space truss structures are considered, in order to verify effectiveness of the proposed method. Results demonstrate a high accuracy of Modal Test Analysis Model and artificial neural network for structural damage detection.

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“…Eigenvectors and eigenvalues can be calculated according to the chosen modal reduction approach, e.g. the Guyan reduction (Qu, 2004). With respect to the previous ERLS-FEM formulations, that usually deal with flexible beam type links, the model extension through a modal approach will allow to work with whatsoever flexible- or rigid-link shape and finite elements.…”

Section: Cms and Erls Kinematicsmentioning

confidence: 99%

Modeling the vibration of spatial flexible mechanisms through an equivalent rigid-link system/component mode synthesis approach

Vidoni

Gallina

Boscariol

et al. 2015

Journal of Vibration and Control

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In this paper, a novel formulation for modeling the vibration of spatial flexible mechanisms and robots is introduced. The formulation is based on the concepts of equivalent rigid-link system (ERLS) that allows kinematic equations of motion for the ERLS decoupled from the compatibility equations of the displacement at the joint to be written. With respect to the available literature, in which the ERLS concept has been proposed together with a finite element method (FEM) approach (ERLS-FEM), the formulation is extended in this paper through a modal approach and, in particular, a component mode synthesis technique which allows a reduced-order system of dynamic equations to be maintained even when a fine discretization is needed. The model is validated numerically by comparing it with the results obtained from the Adams-Flex™ software, which implements the well-known floating frame of reference approach for a benchmark L-shaped mechanism. A good agreement between the two models is shown

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Finite Element Modeling

Cited by 20 publications

References 1 publication

Efficiency of grey wolf optimization algorithm for damage detection of skeletal structures via expanded mode shapes

Efficiency of grey wolf optimization algorithm for damage detection of skeletal structures via expanded mode shapes

An effective method for damage assessment based on limited measured locations in skeletal structures

Modeling the vibration of spatial flexible mechanisms through an equivalent rigid-link system/component mode synthesis approach

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