Couple stress-based dynamic stability analysis of functionally graded composite truncated conical microshells with magnetostrictive facesheets embedded within nonlinear viscoelastic foundations

Fan, Lingjiao; Sahmani, S.; Safaei, Babak

doi:10.1007/s00366-020-01182-w

Cited by 53 publications

(4 citation statements)

References 75 publications

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“…In some experimental and theoretical research , it is shown that classical elastic theories cause many errors when they have been employed for nanosized structures. To tackle this situation, different higher-order elasticity theories such as doublet mechanics Mohamed 2020, Civalek et al 2021), couple stress (Fan et al 2020), strain gradient elasticity (Akgöz and Civalek 2011, Ansari et al 2016, Yin et al2022, Jiang et al 2022, Bagheri et al 2021, nonlocal strain gradient elasticity (Lim et al 2015, Zhou et al 2023, Xu et al 2022, Boyina et al 2022, Anh et al 2022, Norouzzadeh et al 2019, nonlocal elasticity (NE) (Vosoughi 2016, Vosoughi et al 2018, Eringen and Suhubi 1964, Eringen 1983, Eltaher et al 2023, Mohammed et al 2022, Kumar et al 2021, and modified couple stress theory (Mohtashami and Beni 2019, Asghari et al 2011, Kahrobaiyan et al 2014, Liu and Peng 2022, Zhao and He 2023, Raeisi Estabragh and Baradaran 2021, surface energy (Eltaher et al 2019, Xu andFan 2016), peridynamic model (Yang et al 2022) have been used to overcome small-size effects. Barati (2018) has studied the dynamic analysis of FG porous nanoshells with uneven and even distributions.…”

Section: Introductionmentioning

confidence: 99%

A combined method for the stability characteristics of FG a nanobeam embedded in an elastic matrix

Uzun,

Yaylı

2024

Preprint

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The investigation conducted in this work aims to investigate the stability response of functionally graded restrained nanobeams with four different porosity distributions and embedded in the Winkler foundation. To take into concern the size effects, Eringen's nonlocal elasticity is employed as a higher-order continuum theory. The material properties of the functionally graded porous nano-sized beam with deformable boundaries are changed gradually in spatial coordinates through the power-law model which covers four kinds of porosity distributions. A system of linear equations consists of infinite power series for an embedded functionally graded porous nanobeam under axial point loads obtained from Fourier trigonometric series and Stokes’ transformation is solved by an eigenvalue problem which satisfies rigid or deformable supporting conditions including classical boundary conditions such as simply supported, clamped-clamped and clamped-pinned. Analytical results are obtained for various porosity distributions and boundary conditions to reveal the effects of nonlocality, Winkler foundation and power-law index on the lateral buckling behavior of a functionally graded nanoscale nanobeam.

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Section: Introductionmentioning

confidence: 99%

A combined method for the stability characteristics of FG a nanobeam embedded in an elastic matrix

Uzun,

Yaylı

2024

Preprint

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“…They utilized the consistent couple stress theory and found that increasing the weight fraction of GPLs by 1% can more than double the natural frequency of FG-GPLRC cylindrical microshells compared to homogeneous cylindrical microshells. In a separate study, Fan and team [19] investigated the dynamic stability of functionally graded composite truncated conical microshells using the couple stress theory. They discovered that applying a positive magnetic field to an axially loaded truncated conical microshell with magneto strictive face sheets increased its frequency at a specific axial load value in the prebuckling domain and decreased it in the post buckling domain.…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of sandwich cylindrical micro shells with functionally graded porous core subjected to uniform magneto-electric fields based on couple stress theory

Mohammed

Biglari

Tahami

2023

Preprint

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This study examines the buckling behavior of sandwich cylindrical microshells made of functionally graded materials under uniform magneto-electric load. The analysis utilizes a high-order shear and normal deformation shell theory, incorporating a material length scale parameter from the couple stress theory. Hamilton's principle is used to derive the equations of motion and boundary conditions at both ends. The Navier procedure is employed to determine the dimensionless critical buckling load for three types of functionally graded sandwich cylindrical microshells, with a vector used to represent the uniform magneto-electric fields at both ends. Results indicate that angled functionally graded sandwich cylindrical microshells exhibit higher stiffness in couple stress theory than in normal FGS, resulting in an increased dimensionless critical buckling load. Moreover, the material length scale parameter has a significant impact on the dimensionless critical buckling load across various axial and circumferential wavenumbers. An increase in power-law index n for specific values of dimensionless length scale parameter (l/h) leads to a decrease in DCB load according to MCST.

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“…Accuracy of the Euler-Bernoulli beam theory in predicting nonlinear natural frequencies of bidirectional porous beams has been studied in comparison to the Reddy beam theory. Generalized differential quadrature method (GDQM), which has been used widely for studying vibration behavior of structures [44][45][46][47][48][49][50][51][52][53][54][55][56], is utilized to discretize the nonlinear dynamic equations along with the boundary conditions. Picard iterative approach is employed to solve the nonlinear system of equations to obtain nonlinear natural frequencies and mode shapes.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration analysis of bidirectional porous beams

Keleshteri

Jelovica

2021

Engineering with Computers

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This paper presents nonlinear vibration behavior of shear deformable bidirectional porous beams with non-uniform porosity distribution. A new porosity distributions are proposed to maximize natural frequencies of the porous beam. It is assumed that closed-cell voids are distributed along the thickness and length of the beam. Hamilton principle is used to derive nonlinear governing equations using Reddy beam theory considering von Karman geometrical nonlinearity. Generalized differential quadrature method, harmonic balance approach along with the Picard iterative approach are used to discretize and solve the nonlinear dynamic equations. The variation of nonlinear frequency versus the vibration amplitude is highlighted considering various influential factors such as geometrical parameters, porosity distributions, beam theories and boundary conditions. It is shown that the newly defined porosity distribution can increase the frequencies in comparison to the conventional porosity distribution. Comparing beams of the same weight shows that porosities near the center of the beam further increases frequencies in comparison to the other porosity distributions. Moreover, bidirectional porosity increases the frequencies in comparison to the unidirectional porosity. Frequencies of the bidirectional porous Reddy beam depend not only on the bending stiffness, as in the case of unidirectional porous beam, but also on the first derivative of the bending stiffness.

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Couple stress-based dynamic stability analysis of functionally graded composite truncated conical microshells with magnetostrictive facesheets embedded within nonlinear viscoelastic foundations

Cited by 53 publications

References 75 publications

A combined method for the stability characteristics of FG a nanobeam embedded in an elastic matrix

A combined method for the stability characteristics of FG a nanobeam embedded in an elastic matrix

Buckling analysis of sandwich cylindrical micro shells with functionally graded porous core subjected to uniform magneto-electric fields based on couple stress theory

Nonlinear vibration analysis of bidirectional porous beams

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