Free Vibration Analysis of Rotating Functionally Graded Annular Disc of Variable Thickness Using Generalized Differential Quadrature Method

Jalali, Mohammad Hadi; Shahriari, Behrooz; Zargar, Omid Ali; Baghani, Mostafa; Baniassadi, Majid

doi:10.24200/sci.2017.4325

Cited by 10 publications

(9 citation statements)

References 25 publications

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“…Now, we can develop expressions for 1 in intervals [1-2] and [0-1]. By omitting 2 from (10) and (12) and substituting (14) in the resulting equation, the following expression for 1 in terms of known quantities in the interval [1][2] is obtained:…”

Section: Finite Difference Methodsmentioning

confidence: 99%

“…They obtained the natural frequencies and critical speeds of the plates and evaluated the effects of the graded index, angular velocity, and geometric parameters on the modal data. Jalali et al [12] studied the free vibration of rotating FG disk of variable thickness using GDQ method. They evaluated the effects of geometrical and material properties of the rotating FG disk on the natural frequencies and critical speeds.…”

Section: Introductionmentioning

confidence: 99%

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Elastic Stress Analysis of Rotating Functionally Graded Annular Disk of Variable Thickness Using Finite Difference Method

Jalali

Shahriari

2018

Mathematical Problems in Engineering

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Elastic stress analysis of rotating variable thickness annular disk made of functionally graded material (FGM) is presented. Elasticity modulus, density, and thickness of the disk are assumed to vary radially according to a power-law function. Radial stress, circumferential stress, and radial deformation of the rotating FG annular disk of variable thickness with clamped-clamped (C-C), clamped-free (C-F), and free-free (F-F) boundary conditions are obtained using the numerical finite difference method, and the effects of the graded index, thickness variation, and rotating speed on the stresses and deformation are evaluated. It is shown that using FG material could decrease the value of radial stress and increase the radial displacement in a rotating thin disk. It is also demonstrated that increasing the rotating speed can strongly increase the stress in the FG annular disk.

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Section: Finite Difference Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Elastic Stress Analysis of Rotating Functionally Graded Annular Disk of Variable Thickness Using Finite Difference Method

Jalali

Shahriari

2018

Mathematical Problems in Engineering

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“…Table II shows the natural frequency, which is calculated by analytic solution and FEM modeling. The absolute percentage error (APD) is calculated by the following equation [14][15]:…”

Section: Fem Modeling and Experimental Setupmentioning

confidence: 99%

Vibration Analysis Of A Double Circular Pzt Actuator For A Valveless Micropump

Parsi¹,

Zhang²,

Mašek³

2018

Progress in Canadian Mechanical Engineering

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In the conventional mechanical micropumps, the motion from one component (such as gear or diaphragm) produces pressure difference, which is needed to move fluid. In this paper, we propose a new method to use double PZT layers as an actuator for a valveless micropump, which is designed for pumping blood. Due to the high surface tension of blood, one PZT actuator is not strong enough to produce sufficient displacement. So instead of one PZT layer, a double-PZT layer is utilized to produce movement force. In this research, the analytic equations of a double circular PZT layer are derived to express the natural frequency of the system. The finite element method (FEM) simulation is utilized to verify the analytic equations. Then the required input voltage is applied to maximize the functionality of the system, whose simulation results are compared with the experimental measurement setup. Finally, a typical valveless micropump with the proposed double PZT layer is simulated by using COMSOL Multiphysics software. The flow rate of this configuration is compared with a single PZT actuator to demonstrate the effect of the proposed double-PZT actuator on the application to the valveless micropumps.

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“…In high temperature applications, the mechanical structure is under thermal loading in addition to the other mechanical loads. For such applications, FGMs can be used efficiently, due to their high strength under thermal loading [21,22]. Carrera et al [23] proposed a 1D FE method for 3D thermo-elastic analysis of rotating disk.…”

Section: Introductionmentioning

confidence: 99%

Stress analysis of rotating functionally graded polar orthotropic disk under thermomechanical loading

Jalali¹,

Jalali²

2020

J. vibroeng.

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In this paper, thermo-elastic stress analysis of rotating variable thickness annular disk made of polar orthotropic functionally graded material (FGM) is presented. Elasticity modulus, density and thick-ness of the disk are assumed to vary radially according to a power law function. The material of the disk is assumed to be temperature dependent and different temperature distributions are assumed for variation of the temperature in radial direction. Radial stress and radial deformation of the disk with Clamped-Free (C-F) and Free-Free (F-F) boundary conditions are obtained using the numerical finite difference (FD) method. It is concluded that, by increasing the temperature variation, the radial stress and displacement increase. It is also observed that the radial stress in the rotating FG disk is more than the radial stress in rotating homogeneous disk and by increasing the FG index, the location of maximum stress in the disk shifts toward the outer surface. Also, the effects of temperature variation along the radius and orthotropy of the material on the radial stress and deformation are evaluated and concluded that their effect are significant. The results are compared with the available results in the literature and the good agreement between the present results and results in the literature shows the accuracy of FD method in thermo-elastic analysis of rotating FG orthotropic disk of variable thickness.

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Free Vibration Analysis of Rotating Functionally Graded Annular Disc of Variable Thickness Using Generalized Differential Quadrature Method

Cited by 10 publications

References 25 publications

Elastic Stress Analysis of Rotating Functionally Graded Annular Disk of Variable Thickness Using Finite Difference Method

Elastic Stress Analysis of Rotating Functionally Graded Annular Disk of Variable Thickness Using Finite Difference Method

Vibration Analysis Of A Double Circular Pzt Actuator For A Valveless Micropump

Stress analysis of rotating functionally graded polar orthotropic disk under thermomechanical loading

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