Vibrations of unsymmetrical sandwich beams and plates with viscoelastic cores

Rao, Y.V.K. Sadasiva; Nakra, B.C.

doi:10.1016/s0022-460x(74)80315-9

Cited by 137 publications

(22 citation statements)

References 5 publications

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“…Comparative results for the first three modal loss factors are presented in Table 2, using a 12 × 12 mesh for both present and reported [22,25] results, where a good agreement can be observed. The approximate nature of the energy method used by Rikards et al [22] to calculate the modal loss factor might explain the deviations observed.…”

Section: Damped Sandwichsupporting

confidence: 53%

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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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Section: Damped Sandwichsupporting

confidence: 53%

“…A non-symmetric square simply supported sandwich plate with a thick damping core is considered [22,25]. The material properties and geometry of the plate are characterized by non-dimensional quantities.…”

Section: Damped Sandwichmentioning

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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“…There are some other models beyond these restrictions such as [11][12][13][14][15][16][17][18] or more recently [19,20] but they are not so computationally efficient for finite elements applications. In fact, RKU is used in most engineering applications basically due to its very easy computational implementation.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Three-Layer Sandwich Beams with Thick Viscoelastic Damping Core for Finite Element Applications

Cortés

Sarría

2015

Shock and Vibration

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This paper presents an analysis of the dynamic behaviour of constrained layer damping (CLD) beams with thick viscoelastic layer. A homogenised model for the flexural stiffness is formulated using Reddy-Bickford's quadratic shear in each layer, and it is compared with Ross-Kerwin-Ungar (RKU) classical model, which considers a uniform shear deformation for the viscoelastic core. In order to analyse the efficiency of both models, a numerical application is accomplished and the provided results are compared with those of a 2D model using finite elements, which considers extensional and shear stress and longitudinal, transverse, and rotational inertias. The intermediate viscoelastic material is characterised by a fractional derivative model, with a frequency dependent complex modulus. Eigenvalues and eigenvectors are obtained from an iterative method avoiding the computational problems derived from the frequency dependence of the stiffness matrices. Also, frequency response functions are calculated. The results show that the new model provides better accuracy than the RKU one as the thickness of the core layer increases. In conclusion, a new model has been developed, being able to reproduce the mechanical behaviour of thick CLD beams, reducing storage needs and computational time compared with a 2D model, and improving the results from the RKU model.

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“…Markus (1969, 1970) derived the sixth-order differential equation of motion for transverse vibration of a damped sandwich beam with a viscoelastic core which has complex shear modulus and evaluated resonant frequencies, loss factors and the forced vibration response of the structure. Sadasiva Rao and Nakra (1974) carried out analysis of vibration characteristics of unsymmetrical sandwich beam with viscoelastic core. Scottm (1976, 1978) carried out experimental and theoretical investigations of nonlinear sandwich beam with viscoelastic core.…”

Section: Introductionmentioning

confidence: 99%