A generalized layerwise finite element for multi-layer damping treatments

Moreira, R. A. S.; Rodrigues, J. Dias; Ferreira, A.J.M.

doi:10.1007/s00466-005-0714-1

Cited by 77 publications

(27 citation statements)

References 32 publications

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“…This approach leads to a time consuming spatial modelling task. To overcome these difficulties, the layerwise theory has been considered for constrained viscoelastic treatments, and most recently, Moreira et al [1,2], among others, presented generalized layerwise formulations in this scope. From the early 1990s active constrained layer damping became an important subject of research [3,4].…”

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confidence: 99%

A Viscoelastic Sandwich Finite Element Model for the Analysis of Passive, Active and Hybrid Structures

Araújo

Soares

2010

Appl Compos Mater

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In this paper we present a finite element model for the analysis of active sandwich laminated plates with a viscoelastic core and laminated anisotropic face layers, as well as piezoelectric sensor and actuator layers. The model is formulated using a mixed layerwise approach, by considering a higher order shear deformation theory (HSDT) to represent the displacement field of the viscoelastic core and a first order shear deformation theory (FSDT) for the displacement field of the adjacent laminated anisotropic face layers and exterior piezoelectric layers. The dynamic problem is solved in the frequency domain with viscoelastic frequency dependent material properties for the core. Control laws are also implemented for the piezoelectric sensors and actuators. The model behaviour in dynamics is assessed with the few solutions found in the literature, including experimental data, and a laminated composite active sandwich application is proposed. In this numerical application, velocity feedback control law is implemented for active control, using co-located piezoelectric patch sensors and actuators.

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confidence: 99%

A Viscoelastic Sandwich Finite Element Model for the Analysis of Passive, Active and Hybrid Structures

Araújo

Soares

2010

Appl Compos Mater

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“…Nevertheless, when this assumption is no longer acceptable, a more general finite element formulation must be considered, e.g. that proposed by Plagianakos and Saravanos [34] for beams or that proposed by Plagianakos and Saravanos [35] and/or by Moreira et al [36] for plates to account for the interlaminar shear stress continuity.…”

Section: Numerical Modelmentioning

confidence: 98%

Higher order eigensensitivities‐based numerical method for the harmonic analysis of viscoelastically damped structures

Martinez‐Agirre

Elejabarrieta

2011

Numerical Meth Engineering

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SUMMARYThis paper presents an efficient numerical method for the harmonic analysis of viscoelastically damped structural systems characterized by a frequency-dependent structural damping matrix, making use of the complex mode superposition method. Departing from the undamped eigensolution, the proposed numerical method updates the complex and frequency-dependent eigenpair avoiding the solution of a complex eigenproblem for each computational frequency. The complex eigenvalues and eigenvectors are updated within the desired tolerance by an adaptive step-size control scheme using the first-and higher order eigenderivatives. The influence on the computation time of the considered number of eigenderivatives and the tolerance is discussed, and the efficiency of the proposed numerical method for the harmonic analysis of viscoelastically damped large-ordered structural systems is proved. Finally, a practical application is presented where the harmonic response of a constrained layer damping cantilever beam subjected to a base motion is analyzed. The complex and frequency-dependent eigenvalues and eigenvectors are computed, the modal contributions to the total response are determined, and the total response is approximated by the complex mode superposition method. Finally, the approximated response is validated with the exact one computed by the direct frequency method and with that experimentally measured.

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“…Some of the recent applications of the FEM for thin films or coatings can be found in Refs. [3][4][5][6][7][8][9][10][11][12]. All of these FEM studies show that very fine finite element mesh is essential in order to accurately evaluate the interfacial/internal stresses in thin films and coatings.…”

Section: Introductionmentioning

confidence: 99%

Stress analysis for multilayered coating systems using semi-analytical BEM with geometric non-linearities

Zhang

Chen

2010

Comput Mech

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For a long time, most of the current numerical methods, including the finite element method, have not been efficient to analyze stress fields of very thin structures, such as the problems of thin coatings and their interfacial/internal mechanics. In this paper, the boundary element method for 2-D elastostatic problems is studied for the analysis of multicoating systems. The nearly singular integrals, which is the primary obstacle associated with the BEM formulations, are dealt with efficiently by using a semi-analytical algorithm. The proposed semi-analytical integral formulas, compared with current analytical methods in the BEM literature, are suitable for high-order geometry elements when nearly singular integrals need to be calculated. Owing to the employment of the curved surface elements, only a small number of elements need to be divided along the boundary, and high accuracy can be achieved without increasing more computational efforts. For the test problems studied, very promising results are obtained when the thickness of coated layers is in the orders of 10 −6 -10 −9 , which is sufficient for modeling most coated systems in the micro-or nano-scales.

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A generalized layerwise finite element for multi-layer damping treatments

Cited by 77 publications

References 32 publications

A Viscoelastic Sandwich Finite Element Model for the Analysis of Passive, Active and Hybrid Structures

A Viscoelastic Sandwich Finite Element Model for the Analysis of Passive, Active and Hybrid Structures

Higher order eigensensitivities‐based numerical method for the harmonic analysis of viscoelastically damped structures

Stress analysis for multilayered coating systems using semi-analytical BEM with geometric non-linearities

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