Complex modes based numerical analysis of viscoelastic sandwich plates vibrations

Bilasse, Massamaesso; Azrar, L.; Daya, El Mostafa

doi:10.1016/j.compstruc.2011.01.020

Cited by 97 publications

(57 citation statements)

References 34 publications

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“…The first four vibration modes of the sandwich beam-plate under SFSF and CFFF edge boundary condition (S, simply supported; C, clamped; F, free) for different core material loss factors are given and compared to the results obtained in Ref. [36] in Table 2. Note that for comparison, the modal loss factor g l is normalized to the input viscoelastic material loss factor g c .…”

Section: Model Validationmentioning

confidence: 98%

“…Thus, the variable of the viscoelastic layer thickness is considered as a continuous variable, which can change continuously in a design interval. Hence, Table 1 Material and structural data of the sandwich beam-plate [36].…”

Section: Optimization Modelmentioning

confidence: 99%

“…The second example is a sandwich plate with a core made of 3M ISD 112, whose shear modulus is frequency dependent [36]. The material and structural data of the sandwich plate are listed in Table 3.…”

Section: Model Validationmentioning

confidence: 99%

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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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Section: Model Validationmentioning

confidence: 98%

Section: Optimization Modelmentioning

confidence: 99%

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

Hamdaoui

2016

Computers & Structures

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“…Recently, Bilasse et al [5] developed a model in the finite element framework to determine the damping properties of a three isotropic layer sandwich beam and plate with viscoelastic core, by solving the free vibration problem. The modeling by the finite element method of viscoelastic sandwich structures induces nonlinear problems involving the frequency dependent stiffness matrix.…”

Section: Introductionmentioning

confidence: 99%

Vibration Modeling of Multilayer Composite Structures with Viscoelastic Layers

Akoussan

Boudaoud

El-Mostafa

et al. 2014

Mechanics of Advanced Materials and Structures

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This work deals with the vibration of orthotropic multilayer sandwich structures with viscoelastic core. A finite element model is derived from a classical zigzag model with shear deformation in the viscoelastic layer. The aim of the present work is to establish numerical models and develop numerical tools to design multilayer composites structures with high damping properties. To fulfill this purpose, a finite element model has been developed for vibration analysis of a sandwich plate (elastic orthotropic)/(viscoelastic orthotropic)/(elastic orthotropic). A numerical study from the variation of the damping properties of the structures was performed according to the faces materials fibers orientation.

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“…Concepts have recently been proposed to determine the complex-valued natural frequencies of dynamic systems with supplemental viscoelastic attachments [14] and structures with integrated viscoelastic parts [11,15]. A review of numerical solution strategies for solving the damped eigenvalue problem for viscoelastic plate structures is given in [16].…”

Section: Introductionmentioning

confidence: 99%

Explicit solution for the natural frequency of structures with partial viscoelastic treatment

Høgsberg

2016

Mechanics of Advanced Materials and Structures

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Abstract. The free vibration characteristics of structures with viscoelastic treatment are represented by the complex-valued natural frequencies. The assumed single mode representation associated with the low-frequency stiffness of the viscoelastic treatment is modified by a correction term representing the influence from residual vibration modes. The correction term is eliminated in terms of the corresponding natural frequency associated with the high-frequency stiffness of the viscoelastic treatment, whereby an expression is obtained for the complex-valued natural frequency, which only requires the solution of two real-valued eigenvalue problems.

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Complex modes based numerical analysis of viscoelastic sandwich plates vibrations

Cited by 97 publications

References 34 publications

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

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

Vibration Modeling of Multilayer Composite Structures with Viscoelastic Layers

Explicit solution for the natural frequency of structures with partial viscoelastic treatment

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