Vibration analysis of a rotating variable thickness bladed disk for aircraft gas turbine engine using generalized differential quadrature method

Shahriari, Behrooz; Jalali, Mohammadhadi; Karamooz-Ravari, Mohammad Reza

doi:10.1177/0954410016684360

Cited by 9 publications

(6 citation statements)

References 22 publications

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“…The GDQ method is an improvement of the DQ method, especially for solving higher order di erential equations, which is more computationally e cient and accurate. Unlike the DQ method, the GDQ method considers a general situation, where the derivatives of a function are approximated using a linear weighted sum of all the functional values and also some derivatives of the functional values [23,24]. From the above discussion on the previous papers in the literature and to the best of the authors' knowledge, the vibration analysis of rotating functionally graded thin disk with variable thickness has not been investigated so far.…”

Section: Introductionmentioning

confidence: 95%

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

et al. 2017

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Abstract. In this paper, free vibration analysis of rotating annular disc made of Functionally Graded Material (FGM) with variable thickness is presented. Elasticity modulus, density, and thickness of the disc are assumed to vary radially according to a power low function. The natural frequencies and critical speeds of the rotating FG annular disc of variable thickness with two types of boundary conditions are obtained employing the numerical Generalized Di erential Quadrature Method (GDQM). The boundary conditions considered in the analysis are both edges clamped (C-C): the inner edge clamped and outer edge free (C-F). The in uence of the graded index, thickness variation, geometric parameters, and angular velocity on the dimensionless natural frequencies and critical speeds is demonstrated. It is shown that we have higher critical speed and natural frequency using a plate with a convergent thickness pro le, and lower critical speed using a divergent thickness pro le. It is found that the increase in the ratio of inner-outer radii could increase the critical speed of the FG annular disk. The results of the present work could improve the design of the rotating FG annular disk in order to avoid resonance condition.

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Section: Introductionmentioning

confidence: 95%

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

et al. 2017

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“…2,[7][8][9][10][11] In addition, the dynamic performance was considered in many studies. [12][13][14] Furthermore, numerous researchers referred to the stark impacts of the materials' temperature dependency on the performance. 11,15 Some of the above studies considered structures (disc/cylinder) made of homogeneous materials that are usually metals.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic stress mitigation and weight reduction of functionally graded multilayer nonuniform thickness disc

Eldeeb

Shabana

Elsawaf

2023

The Journal of Strain Analysis for Engineering Design

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In this paper, the particle swarm optimization method is used to reduce the weight of a multilayer rotating nonuniform thickness disc along with alleviation of the maximum tangential stress and the maximum tangential stress-jump at the interfaces. The proposed disc is made of functionally graded material and is subjected to both mechanical pressure and thermal loads. It is divided into several layers with each one having its unique volume fraction. These volume fractions are considered the design variables of the optimization problem along with two geometrical parameters related to the disc thickness. The equilibrium equation in polar coordinates are solved using the finite difference method. A punch of optimization results is calculated and discussed. It is concluded that the range of design variables’ variation widens by considering more layers. Finally, there is no potential disc configuration or geometry is found dominant to enhance the design parameters concurrently. Therefore, performing similar optimization analyses is compulsory to obtain an efficient and durable structure.

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“…They used finite difference method to find the stresses and displacements. Shahriari et al [15] applied differential quadrature method to investigate the vibration of rotating bladed disk used in gas turbine engines. They considered the disk to be flexible with the same material as the real gas turbine disk and the blades of the bladed disks to be rigid.…”

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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Vibration analysis of a rotating variable thickness bladed disk for aircraft gas turbine engine using generalized differential quadrature method

Cited by 9 publications

References 22 publications

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

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

Thermoelastic stress mitigation and weight reduction of functionally graded multilayer nonuniform thickness disc

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

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