Static analysis of variable thickness two-directional functionally graded annular sector plates fully or partially resting on elastic foundations by the GDQ method

Alinaghizadeh, Farhad; Shariati, Mahmoud

doi:10.1007/s40430-015-0427-0

Cited by 16 publications

(2 citation statements)

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“…The generalized differential quadrature method (GDQM) has vastly been utilized to solve nonlinear equations and is proven to be accurate for this purpose [43,44]. As the concepts of this method have been explained a lot in the literature [45][46][47][48][49][50][51][52][53][54], here we avoid repeating those explanations regarding GDQM.…”

Section: Mathematical Modelingmentioning

confidence: 99%

Nonlinear vibration and buckling of functionally graded porous nanoscaled beams

Mirjavadi

Afshari

Khezel

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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Although many researchers have studied the vibration and buckling behavior of porous materials, the behavior of porous nanobeams is still a needed issue to be studied. This paper is focused on the buckling and nonlinear vibration of functionally graded (FG) porous nanobeam for the first time. Nonlinear Von Kármán strains are put into consideration to study the nonlinear behavior of nanobeam based on the Euler-Bernoulli beam theory. The nonlocal Eringen's theory is used to study the size effects. The mechanical properties of ceramic and metal are used to model the functionally graded material through thickness, and the boundary conditions are considered as clamped-clamped (CC) and simply supportedsimply supported (SS). The generalized differential quadrature method (GDQM) is used in conjunction with the iterative method to solve the equations. The parametric study is done to examine the effects of nonlinearity, porosity, sized effect, FG index, etc., on the vibration and buckling of porous nanobeam.

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Section: Mathematical Modelingmentioning

confidence: 99%

Nonlinear vibration and buckling of functionally graded porous nanoscaled beams

Mirjavadi

Afshari

Khezel

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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“…Karami and Malekzadeh [21] studied the static and stability analyses of arbitrary straight-sided quadrilateral thin plates. Alinaghizadeh and Shariati [22] worked on bending analysis of FGM annular/circular sector plates resting on the elastic foundation. Malekzadeh and Hamzehkolaei [23] studied bending analysis of multilayered functionally graded annular plates rested on the elastic foundation by using differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

Thermo-mechanical behavior of a functionally graded hollow cylinder with an elliptic hole

Fesharaki

Roghani

2019

J Braz. Soc. Mech. Sci. Eng.

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In this paper, the behavior of functionally graded material hollow cylinders with an elliptic hole under thermal and mechanical loads is investigated. The problem is considered as plane strain condition, and to obtain the governing equations and boundary condition for this complex geometry, an elliptic cylindrical coordinate is used. The material properties are considered to vary along the elliptic cylindrical direction with power-law function except for the Poisson's ratio. To solve the two coupled differential equations, differential quadrature method is used. For solving the governing equations, two different boundary conditions are considered for thermal and mechanical loads. The results show that unconventional shape for a hole in the cylinder can affect the results expected such as stresses or displacements, and this information about thermo-mechanical loads can be used for designing the advanced sensors. Also with considering special material index, the stress and displacement along the cylinder can be controlled. The presented results in this paper are verified with those reported in the previous publication.

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