Third order nonlinear vibration of viscoelastic circular microplate based on softening and hardening nonlinear viscoelastic foundation under thermal loading

Moayeri, Mehdi; Darabi, Babak; Sianaki, Ahmad Hoseini; Adamian, Armen

doi:10.1016/j.euromechsol.2022.104644

Cited by 11 publications

(7 citation statements)

References 52 publications

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“…The vast majority of those recent contributions are devoted to the analysis of free vibrations and parametric analyses of the dependence of dynamic characteristics in systems on various details of the model, see e.g., . The second large group of papers concerns the harmonic forced vibrations, both linear [155,[214][215][216] and geometrically nonlinear [217][218][219][220][221][222][223][224][225][226][227][228][229]. The other group of contributions focuses on the vibrations forced by a moving load or a moving mass, e.g., [193,[230][231][232].…”

Section: Structural Elements On Viscoelastic Foundationsmentioning

confidence: 99%

“…A large variety of types of structural elements is considered, including beams [187,194,195,206,213,228,232], plates [193,202,203,214,218,220,227], shells [204], composite beams [186,198,201,207,211,215,224,225], composite plates [155,185,191,199,200,210,212,222,223,226], composite shells [190,216,219,221], nanobeams [184,189,196], FG nanoplates [192,197,208,[229][230][231], and FG nanoshells/nanopanels [188,209,217].…”

Section: Structural Elements On Viscoelastic Foundationsmentioning

confidence: 99%

See 1 more Smart Citation

Dynamics of Structures, Frames, and Plates with Viscoelastic Dampers or Layers: A Literature Review

Lewandowski,

Litewka,

Łasecka-Plura

et al. 2023

Buildings

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The paper is devoted to a review of recent achievements in the field of dynamic analysis of structures and structural elements, such as beams and plates, with embedded viscoelastic (VE) dampers and/or layers. The general characteristics of VE materials, their rheological models, and methods of parameters identification are discussed. New formulations of dynamic problems for systems with VE elements are also reviewed. The methods of determination of dynamic characteristics, together with the methods of analysis of steady-state and transient vibrations of such systems, are also discussed. Both linear and geometrically non-linear vibrations are considered. The paper ends with a review of the methods of sensitivity and uncertainty analysis, and the methods of optimization, for structures with VE elements.

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Section: Structural Elements On Viscoelastic Foundationsmentioning

confidence: 99%

Section: Structural Elements On Viscoelastic Foundationsmentioning

confidence: 99%

Dynamics of Structures, Frames, and Plates with Viscoelastic Dampers or Layers: A Literature Review

Lewandowski,

Litewka,

Łasecka-Plura

et al. 2023

Buildings

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“…Since the CPT neglects shear deformation effects, it cannot give an accurate analysis for thick plates. To account for the shear deformation effects, researchers have developed diverse shear deformation theories, such as the first-order theory [28][29][30][31][32], third-order theory [33][34][35][36][37], sinusoidal theory [38][39][40][41], and hyperbolic theory [42][43][44]. These shear deformation theories can give better predictions on the thermoelastic behaviors of plates in comparison with the CPT.…”

Section: Introductionmentioning

confidence: 99%

Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

Zhang,

Sun,

Xiang

et al. 2023

Buildings

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Approximate analytical solutions are presented for the transient thermoelastic problem of rectangular plates with time-dependent convection and radiation boundaries. To include the nonlinear radiation boundary, the whole heating process is divided into several time steps, and a linearized approximation is used to simplify the radiation term for each step. The one-dimensional transient temperature along the thickness direction is solved using the technique of the separation of variables. The displacement and stress solutions are obtained by applying the state-space method to the three-dimensional thermoelasticity equations. The accuracy of the present solutions is demonstrated by comparison with the reported results in the open literature and the finite element solutions. In the numerical examples, two kinds of thermal boundaries, namely, time-independent convection boundaries and time-dependent convection and radiation boundaries, are considered to show the availability of the present solutions.

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“…By taking into account (3) the dual mesh control domain methods were developed for solving deformation with approximate result. The nonlinear vibration of viscoelastic circular microplate based on softening and hardening nonlinear viscoelastic foundation under thermal loading (4) and (5) . The powerful analysis of sandwich nanoplates with a permeable practically evaluated center utilizing isogeometric examine (6) .…”

Section: Introductionmentioning

confidence: 99%

Mathematical Analysis of Transverse Displacement of Laminated Beam with Thermal Load

Pakhale¹,

Sontakke²,

Gandhe³

et al. 2022

IJST

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Objectives: This research emphasis on developing solution of transverse displacement for simply supported beam subjected to thermal load using hyperbolic shear deformation theory (HYSDT). Moreover, the significant transverse displacement analysis of single, three-layer orthotropic symmetric laminated beams exposed to sinusoidal thermal loads was taken under consideration with the aim to achieve exact solution for the above condition. Methodology: In this solution, we have used hyperbolic function in reference to thickness co-ordinate by considering shear deformation theory. The governing equations, boundary conditions were developed using principle of virtual work and thus exhibiting solution by Navier's theory. Findin g: It is observed that by considering single, triple layer transverse displacement for simply supported beam subjected to thermal loading as well as applying hyperbolic shear deformation theory (HYSDT) has predicted transverse displacement of 0.269, 0.210 and 0.562 for ply angles such as 0 0 , 90 0 , 0 0 /90 0 /0 0 respectively with aspect ratio 20. In accordance with this we observed uniformity among the predicted values. Novelty: In this research we have introduced an advance function such as hyperbolic shear deformation theories (HYSDT) and transverse displacement for variable lengths and thickness of the beam was calculated by using MATLAB coding. Thus, achieving precise solution.

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Third order nonlinear vibration of viscoelastic circular microplate based on softening and hardening nonlinear viscoelastic foundation under thermal loading

Cited by 11 publications

References 52 publications

Dynamics of Structures, Frames, and Plates with Viscoelastic Dampers or Layers: A Literature Review

Dynamics of Structures, Frames, and Plates with Viscoelastic Dampers or Layers: A Literature Review

Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

Mathematical Analysis of Transverse Displacement of Laminated Beam with Thermal Load

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