Vibrations of three layered damped sandwich plate composites

Lu, Y.P.; Killian, J.W.; Everstine, G. C.

doi:10.1016/0022-460x(79)90572-8

Cited by 77 publications

(26 citation statements)

References 10 publications

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“…Moreover, besides the accuracy of the obtained results, the spatial modelling of the layered treated plates with the proposed finite element is simpler than using the usual modelling approach [2][3][4] that uses a layered scheme of standard brick and plate finite elements. The numerical results obtained with the layerwise model presented in this paper are identical to those obtained in [2], where 3 layered schemes of conventional finite elements (plate and brick) are used.…”

Section: Modelling Of Viscoelastic Core Sandwich Plates: Numerical Anmentioning

confidence: 99%

“…The usual approach to model and simulate the dynamic response of sandwich plates with one viscoelastic core uses a layered scheme of plate and brick elements with nodal linkage [2][3][4]. Though it can describe accurately the shear deformation of the viscoelastic layer, as it uses three-dimensional finite elements, as well as the damping of the viscoelastic layer, this approach leads to a hardworking and time consuming spatial modelling task, specially when modelling three-dimensional shell structures.…”

Section: Introductionmentioning

confidence: 99%

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A generalized layerwise finite element for multi-layer damping treatments

2005

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This paper presents a 4-node facet type quadrangular shell finite element, based on a layerwise theory, developed for dynamic modelling of laminated structures with viscoelastic damping layers. The bending stiffness of the facet shell element is based on the Reissner-Mindlin assumptions and the plate theory is enriched with a shear locking protection adopting the MITC approach. The membrane component is corrected by using incompatible quadratic modes and the drilling degrees of freedom are introduced through a fictitious stiffness stabilization matrix. Linear static tests, using several pathological tests, showed good and convergent results. Dynamic analysis evaluation is provided by using two eigenproblems with exact analytical solution, as well as a conical sandwich shell with a closed-form analytical solution and a semianalytical ring finite element solution. The applicability of the proposed finite element to viscoelastic core sandwich plates is assessed through experimental validation.

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Section: Modelling Of Viscoelastic Core Sandwich Plates: Numerical Anmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A generalized layerwise finite element for multi-layer damping treatments

2005

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“…Finite element method is also used for analyzing viscoelastic sandwich structures by many researchers. Lu et al [10] compared finite element to experimental results for three layered damped viscoelastic composite plates. Rikards et al [11] studied the damping features of laminated visco-elastic sandwich beams using finite elements.…”

Section: Introductionmentioning

confidence: 99%

Mixed integer multi-objective optimization of composite structures with frequency-dependent interleaved viscoelastic damping layers

Hamdaoui

2016

Computers & Structures

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a b s t r a c tThe optimal design of composite structures with frequency-dependent interleaved viscoelastic damping layers is addressed in this paper. The design objective of simultaneously maximizing structural modal damping and frequency and minimizing weight is considered. The design problem is formulated as a mixed integer multi-objective optimization problem and solved by evolutionary algorithm. A layerwise finite element model is used. The Pareto-optimal solutions are obtained for two applications. The results show that the approach is quite useful in integrally designing such kind of composite structures. In particular, it is shown that the inserting position and the material type are two important design parameters.

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“…The main advantage of these approaches is to allow a parabolic description of the shear stress, while ensuring the condition of zero shear stress on the free surface of the sandwich structures. It should also be noted that, in the context of sandwich structures under vibration, a number of specific finite elements have been developed (see, e.g., [8][9][10][11]) in order to discretize various types of geometries (e.g., beams, shells, conical shells …).…”

Section: Introductionmentioning

confidence: 99%