On the free vibration of orthotropic and inhomogeneous with spatial coordinates plates resting on the inhomogeneous viscoelastic foundation

Haciyev, V.C.; Sofiyev, A.H.; Kuruoğlu, N.

doi:10.1080/15376494.2018.1430271

Cited by 39 publications

(5 citation statements)

References 38 publications

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“…Due to the growing desire for lightweight design, these structures are prone to severe vibration and noise concerns when subjected to external dynamic excitations. Passive control treatments, such as incorporating viscoelastic damping materials into structures, were generally regarded as a practical and efective technique to suppress the level of vibration in structures [1][2][3]. Since the 1960s, constrained layer damping (CLD) structures have been widely used in vibration control of aerospace structures due to their substantially higher energy dissipation on account of shear deformation than free layer damping.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Topology Optimization of Constrained Damping Plates considering Frequency and Temperature Characteristics Based on an Efficient Strategy

Wu,

Xue

2024

Shock and Vibration

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The frequency- and temperature-dependent characteristics of viscoelastic materials significantly affect the vibration response of the damped composite structures. In this paper, an efficient strategy of hybrid expansion combined with dynamic reduction is developed to solve the steady-state response of the frequency- and temperature-dependent viscoelastic structure characterized by nonproportional system, and the sensitivity analysis is carried out based on the adjoint variable method. The similarity index is defined to distinguish the correlation among different design layouts. Two instances demonstrated the validity of the proposed approach. The findings indicated that a positive compromise between accuracy and efficiency can be achieved, and the computational time can be significantly reduced while ensuring the accuracy of the results. Furthermore, it has been discovered that the excitation frequency and temperature significantly impact the optimal configuration of damping material. The effects of layer thicknesses and volume fractions on optimization designs are also further investigated.

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Section: Introductionmentioning

confidence: 99%

Dynamic Topology Optimization of Constrained Damping Plates considering Frequency and Temperature Characteristics Based on an Efficient Strategy

Wu,

Xue

2024

Shock and Vibration

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“…Chen et al [9] investigated vibration and stability of initially stressed sandwich plates with FGM face sheets in thermal environments. Haciyev et al [10] solved the free bending vibration problem of thin non-homogenous orthotropic rectangular plates resting on viscoelastic foundations. Bacciocchi and Tarantino [11] presented natural frequency analysis of functionally graded orthotropic cross-ply plates based on the finite element method.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the vibration problem of sandwich heterogeneous orthotropic plates

Bozkurt,

Dilmaç,

Sofiyev

2023

UNEC j. eng. appl. sci.

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In this study, the solution of the free vibration problem of sandwich plates consisting of heterogeneous orthotropic layers is presented. First, the Kirchhoff-Love theory (KLT) for homogeneous plates is extended to sandwich plates composed of heterogeneous orthotropic layers. Within the framework of Donnell theory, after establishing the basic relations of multilayer plates, governing equations are derived based on Airy stress and deflection functions. The solution of the governing equations is carried out by the Galerkin method and the analytical expression is found for the linear frequency of sandwich plates consisting of heterogeneous orthotropic layers. Finally, the effects of various factors such as heterogeneity, number of layers and their arrangement on the free vibration frequency of sandwich plates are examined.

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“…Akgöz and Civalek 9 discussed the static bending behavior of single-walled carbon nanotubes embedded in an elastic medium. Haciyev et al 10,11 presented the vibration of bi-directional exponentially graded orthotropic and inhomogeneous with spatial coordinates plates resting on the two-parameter elastic or inhomogeneous viscoelastic foundation. Ozdemir 12 studied the vibrational analysis of thick plates resting on Winkler's foundation based upon Mindlin's theory.…”

Section: Introductionmentioning

confidence: 99%

Quasi-3D Vibrational Analyses of Laminates and Sandwich Plates Resting on Elastic Foundations

Zenkour¹,

Mashat²

2022

The International Journal of Acoustics and Vibration

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This article establishes the vibrational response of laminates and sandwich plates inserted in an elastic medium. The quasi-3D elasticity equations are used for this purpose. The two-parameter Pasternak's model is utilized to give the interaction between the elastic foundation and the presented plate. The virtual displacement principle is applied to obtain governing dynamic equations. Many validation examples are displayed to show the accuracy and efficiency of the current model. The effects of various parameters like lamination scheme, material properties, aspect and thickness ratios, number of layers, and elastic foundation parameters on vibrations of laminates and sandwich plates are investigated.

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On the free vibration of orthotropic and inhomogeneous with spatial coordinates plates resting on the inhomogeneous viscoelastic foundation

Cited by 39 publications

References 38 publications

Dynamic Topology Optimization of Constrained Damping Plates considering Frequency and Temperature Characteristics Based on an Efficient Strategy

Dynamic Topology Optimization of Constrained Damping Plates considering Frequency and Temperature Characteristics Based on an Efficient Strategy

Investigation of the vibration problem of sandwich heterogeneous orthotropic plates

Quasi-3D Vibrational Analyses of Laminates and Sandwich Plates Resting on Elastic Foundations

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