A general disk form formulation for thermo-elastic analysis of functionally graded thick shells of revolution with arbitrary curvature and variable thickness

Nejad, Mohammad Zamani; Jabbari, Mehdi; Ghannad, Mehdi

doi:10.1007/s00707-016-1709-z

Cited by 17 publications

(5 citation statements)

References 34 publications

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“…The numerical solutions for thermal buckling load are obtained. In 2017, Nejad et al [9] presented a review for some models used in the solving methods, elasticity theories and shear deformation theories used for the thick FGM cylindrical and conical shells.…”

Section: Introductionmentioning

confidence: 99%

Advanced Dynamic Thermal Vibration of Thick FGM Cylindrical Shells

Hong

2024

Preprint

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The thick functionally graded material (FGM) circular cylindrical shells with advanced varied shear correction coefficient and third-order shear deformation theory (TSDT) under advanced thermal vibration are studied by the method of generalized differential quadrature (GDQ). The coefficient of displacement model of TSDT is applied to derive the equations of motion for the thick FGM circular cylindrical shells. The stiffness in simpler forms of thick FGM circular cylindrical shells and temperature rise in linear expression of the heat conduction equation are used. The differential equations in dynamic equilibrium state of thick FGM circular cylindrical shells can be obtained and rewritten into displacements and shear rotations in partial derivative expressions under dynamic thermal loads in partial derivative expressions. Parametric effect studies including advanced nonlinear varied shear correction coefficient, nonlinear coefficient c1 value, power law index and thermal temperature difference of external heating loads on the displacements and stresses of thick FGM cylindrical shells under thermal dynamic vibration are investigated.

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Section: Introductionmentioning

confidence: 99%

Advanced Dynamic Thermal Vibration of Thick FGM Cylindrical Shells

Hong

2024

Preprint

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“…Many design optimization applications of structure for different problems have been reviewed in the literature. [18][19][20][21][22][23] Maalawi 24 developed an approach for designing more efficient patterns of FGM bars with maximized frequencies in an analytical way. Using continuous or discrete variations along the bar length, the volume fractions distribution of the material constituents is optimized.…”

Section: Introductionmentioning

confidence: 99%

Variable thickness thin-walled rotating blades made of functionally graded porous materials

Farsadi

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Within this study, the statics and dynamics performance of turbomachinery variable thickness rotating blades, composed of thin-walled, functionally graded metal-ceramic materials including cross-sectional distributed porosity is optimized. The pre-twisted, tapered, Thin-Wall Rotating Beams (TWRB) with constant angular velocity are considered within this context. For the optimization purpose, a genetic algorithm (GA) is implemented in a nonlinear constraint optimization problem. The goal is to exploit desirable thickness variations with improved dynamic, static, and buckling behavior of the variable thickness functionally graded material (FGM) blades. Hamilton’s principle was applied using the Euler–Lagrange dynamic system of governing equation, while the extended Galerkin’s method (EGM) was applied to solve the equations. Two variables in thickness function for each wall of the beam box (a total of eight variables) are considered in the optimization procedure. The effects of some parameters, such as the FGM volume fraction exponent, angular velocity, the pre-twist angle, porosity coefficient, and taper ratios on the mechanical behavior of the variable thickness FG beams are studied. The optimization result shows that applying the variable thickness concept can significantly increase the 1st and 2nd natural frequencies (by 60.4%, 60.22%) and reduce the weight (by 31.05%) of the system compared to the reference constant thickness beam while the increase in chordwise and flapwise deformations (by 8.16%, 9.93%) under combined loading is in an acceptable range, respectively.

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“…They investigated the effect of the magnetic field, electric potential and material inhomogeneity on displacements and stresses distributed in the thickness of the sphere. Zamani Nejad et al [8] studied the analysis of functionally graded thick shells of revolution with variable thickness and arbitrary curvature under thermo-mechanical loading. Zidi Technical Editor: João Marciano Laredo dos Reis.…”

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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A general disk form formulation for thermo-elastic analysis of functionally graded thick shells of revolution with arbitrary curvature and variable thickness

Cited by 17 publications

References 34 publications

Advanced Dynamic Thermal Vibration of Thick FGM Cylindrical Shells

Advanced Dynamic Thermal Vibration of Thick FGM Cylindrical Shells

Variable thickness thin-walled rotating blades made of functionally graded porous materials

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

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