Size-dependent axisymmetric vibration of functionally graded circular plates in bifurcation/limit point instability

Ashoori, A.R.; Vanini, S.A. Sadough; Salari, Erfan

doi:10.1007/s00339-017-0825-5

Cited by 15 publications

(6 citation statements)

References 41 publications

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“…Ghosh (2021b, 2022) presented the buckling response of perfect and imperfect UDFGM sandwich plates under different thermal loadings. Free vibration and buckling behaviour of FG circular plates and nano-beams have investigated by Salari (2017, 2018), Ashoori et al (2017) and Ehyaei et al (2016). Nonlinear dynamic buckling and vibration analysis have been carried out for porous FGM circular nano-plates and beams by Salari and Salari (2016), Salari et al (2019Salari et al ( , 2020, and Sadough Vanini (2022, 2023).…”

Section: Introductionmentioning

confidence: 99%

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Effect of bi-directional material gradation on thermo-mechanical bending response of metal-ceramic FGM sandwich plates using inverse trigonometric shear deformation theory

Sah,

Ghosh

2024

IJSI

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PurposeThe purpose of this study is to investigate the bending analysis of metal (Ti-6Al-4V)-ceramic (ZrO2) functionally graded material (FGM) sandwich plate with material property gradation along length and thickness direction under thermo-mechanical loading using inverse trigonometric shear deformation theory (ITSDT). FGM sandwich plate with a ceramic core and continuous variation of material properties has been modelled using Voigt’s micro-mechanical model following the power law distribution method. The impact of bi-directional gradation of material properties over the bending response of FGM plate under thermo-mechanical loading has been investigated in this work.Design/methodology/approachIn this study, gradation of material properties for FGM plates is considered along length and thickness directions using Voigt’s micromechanical model following the power law distribution method. This type of FGM is called bi-directional FGMs (BDFGM). Mechanical and thermal properties of BDFGM sandwich plates are considered temperature-dependent in the present study. ITSDT is a non-polynomial shear deformation theory which requires a smaller number of field variables for modelling of displacement function in comparison to poly-nominal shear deformation theories which lead to a reduction in the complexity of the problem. In the present study, ITSDT has been utilized to obtain the governing equations for thermo-mechanical bending of simply supported uni-directional FGM (UDFGM) and BDFGM sandwich plates. Analytical solution for bending analysis of rectangular UDFGM and BDFGM sandwich plates has been carried out using Hamilton’s principle.FindingsThe bending response of the BDFGM sandwich plate under thermo-mechanical loading has been analysed and discussed. The present study shows that centre deflection, normal stress and shear stress are significantly influenced by temperature-dependent material properties, bi-directional gradation exponents along length and thickness directions, geometrical parameters, sandwich plate layer thickness, etc. The present investigation also reveals that bi-directional FGM sandwich plates can be designed to obtain thermo-mechanical bending response with an appropriate selection of gradation exponents along length and thickness direction. Non-dimensional centre deflection of BDFGM sandwich plates decreases with increasing gradation exponents in length and thickness directions. However, the non-dimensional centre deflection of BDFGM sandwich plates increases with increasing temperature differences.Originality/valueFor the first time, the FGM sandwich plate with the bi-directional gradation of material properties has been considered to investigate the bending response under thermo-mechanical loading. In the literature, various polynomial shear deformation theories like first-order shear deformation theory (FSDT), third-order shear deformation theory (TSDT) and higher-order shear deformation theory (HSDT) have been utilized to obtain the governing equation for bending response under thermo-mechanical loading; however, non-polynomial shear deformation theory like ITSDT has been used for the first time to obtain the governing equation to investigate the bending response of BDFGM. The impact of bi-directional gradation and temperature-dependent material properties over centre deflection, normal stress and shear stress has been analysed and discussed.

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Section: Introductionmentioning

confidence: 99%

“…Sah and Ghosh (2021b, 2022) presented the buckling response of perfect and imperfect UDFGM sandwich plates under different thermal loadings. Free vibration and buckling behaviour of FG circular plates and nano-beams have investigated by Ebrahimi and Salari (2017, 2018), Ashoori et al . (2017) and Ehyaei et al .…”

Section: Introductionmentioning

confidence: 99%

Effect of bi-directional material gradation on thermo-mechanical bending response of metal-ceramic FGM sandwich plates using inverse trigonometric shear deformation theory

Sah,

Ghosh

2024

IJSI

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“…The importance of mechanical analysis of these structures in contact with fluid becomes significant when these small‐scale structures are in contact with various fluids in various industries such as aerospace, medical engineering, electronic devices etc. These structures are also widely used in micro‐electromechanical systems [2], rotational motors, nanorelays [3] and photomicrographs [4]. Therefore, researchers always conduct the mechanical analysis of nanostructures to take a step in the furtherance of the relevant industries.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the effect of viscosity and fluid flow on buckling behaviour of non‐local nanoplate with surface energy

Arpanahi,

Abdehvand,

Sheykhi

et al. 2023

The Journal of Engineering

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The buckling of a nanoplate at the bottom of a channel over which the fluid passes with a one-dimensional flow is investigated in this article. Navier-Stokes equations were used to obtain the applied force from the fluid to the nanoplate. Non-local elasticity theories and surface effects were used to consider nanoscale effects. By solving this problem using Galerkin's weighted residual method, interesting results were obtained. Applying nonlocality increases the fluid's impact on the buckling of a nanoplate. The lower modes are more noticeably affected by being placed in a fluid environment. Also, the presence of fluid and surface effects both increase the buckling capacity of the system. The obtained results are very helpful for developing and improving the performance of fluid-coupled nanostructures that have buckling potential.

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“…, 2021; Najibi and Talebitooti, 2017). Hamilton’s principle was employed to study buckling vibration analysis of functionally graded structures such as circular plate (Ashoori et al. , 2017; Salari and Sadough Vanini, 2023), nano beams and plates (Ebrahimi and Salari, 2017; Salari et al.…”

Section: Introductionmentioning

confidence: 99%

“…Finite element method was employed to investigate transient thermal stresses in a thick hollow cylinder for different schemes such as rule of mixture and Mori-Tanaka (Najibi, 2017;Najibi et al, 2021;Najibi and Talebitooti, 2017). Hamilton's principle was employed to study buckling vibration analysis of functionally graded structures such as circular plate (Ashoori et al, 2017;Salari and Sadough Vanini, 2023), nano beams and plates (Ebrahimi and Salari, 2017;Salari et al, 2022;Salari and Sadough Vanini, 2023).…”

Section: Introductionmentioning

confidence: 99%

Exploring the mechanical response of functionally graded hollow disks: insights from rotation, gravity and variable heat generation

Singh,

Sondhi,

Sahu

et al. 2023

IJSI

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PurposeThe purpose of the study is to perform elastic stress and deformation analysis of a functionally graded hollow disk under different conditions (rotation, gravity, internal pressure, temperature with variable heat generation) and their combinations.Design/methodology/approachThe classical method of solution, Navier's equation, is used to solve the governing equation. The analysis considers thermal and mechanical boundary conditions and takes into account the variation of material properties according to a power law function of the radius of the disk and grading parameter.FindingsThe findings of the study reveal distinct trends and behaviors based on different grading parameters. The influence of gravity is found to be negligible, resulting in similar patterns to the pure rotation case. Variable heat generation introduces non-linear temperature profiles and higher displacements, with stress values influenced by grading parameters.Practical implicationsThe study provides valuable insights into the behavior of displacement and stresses in hollow disks, offering a deeper understanding of their mechanical response under varying conditions. These insights can be useful in the design and analysis of functionally graded hollow disks in various engineering applications.Originality/valueThe originality and value of this study lies in the consideration of various loading combinations of rotation, gravity, internal pressure and temperature with variable heat generation. Furthermore, the study of effect of various angular rotations, temperatures and pressures expands the understanding of the mechanical behavior of such structures, contributing to the existing body of knowledge in the field.

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Size-dependent axisymmetric vibration of functionally graded circular plates in bifurcation/limit point instability

Cited by 15 publications

References 41 publications

Effect of bi-directional material gradation on thermo-mechanical bending response of metal-ceramic FGM sandwich plates using inverse trigonometric shear deformation theory

Effect of bi-directional material gradation on thermo-mechanical bending response of metal-ceramic FGM sandwich plates using inverse trigonometric shear deformation theory

Investigation of the effect of viscosity and fluid flow on buckling behaviour of non‐local nanoplate with surface energy

Exploring the mechanical response of functionally graded hollow disks: insights from rotation, gravity and variable heat generation

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