Rapid low fidelity turbomachinery disk optimization

Gutzwiller, David P.; Turner, Mark G.

doi:10.1016/j.advengsoft.2009.12.019

Cited by 10 publications

(20 citation statements)

References 13 publications

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“…By equating the right side of (18) and (17) and substituting +1 , , −1 , an equation with unknowns +1 , , −1 can be obtained. The following equation leads to a system of ( − 2) equations.…”

Section: Finite Difference Methodsmentioning

confidence: 99%

“…They also investigated the effects of the graded index on the stresses and displacements. Gutzwiller and Turner [17,18] developed computer software for automated design optimization of rotating bladed disks. They used finite difference method for obtaining the stresses and displacements and they assumed various thickness variations of the plate in their research.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…The discussed discretization leads to system of linear equations with the radial displacement ( ) as the unknown variable. Once the radial displacement in nodal points is calculated, radial stress in each point can be obtained using (17) or (18).…”

Section: Clamped-free (C-f)mentioning

confidence: 99%

See 2 more Smart Citations

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: Mathematical Problems In Engineeringmentioning

confidence: 99%

See 1 more Smart Citation

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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“…Gutzwiller et al. 11,12 developed a computer software for automated design optimization of rotating bladed disks. Using finite difference method, they obtained stresses and displacements considering various thickness variations of the plate.…”

Section: Introductionmentioning

confidence: 99%

“…They investigated the natural frequencies and critical speeds of the plates with clamped-clamped (C-C), clamped-simply supported (C-S), and clamped-free (C-F) boundary conditions and they evaluated the effects of the graded index, angular velocity, and geometric parameters on the modal response. Gutzwiller et al 11,12 developed a computer software for automated design optimization of rotating bladed disks. Using finite difference method, they obtained stresses and displacements considering various thickness variations of the plate.…”

Section: Introductionmentioning

confidence: 99%

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

Shahriari

Jalali

Karamooz-Ravari

2017

Proceedings of the Institution of Mechanical Engineers, Part G:

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In this paper, free vibration analysis of rotating variable thickness annular bladed disk suitable to be used in aircraft gas turbine engine is investigated. The numerical generalized differential quadrature method is introduced in this paper as a fast and efficient numerical method to be used for vibration analysis of bladed disks of real gas turbine engines. The boundary conditions are supposed to be similar to those of the real bladed disk used in the aircraft engines i.e. clamped for the inner edge and free for the outer edge. Considering the thickness of the disk to vary as a power function and the blades of the bladed disk to be rigid, the numerical solution is performed and the effects of thickness variation, geometric parameters, angular velocity, and number of blades on the natural frequencies and critical speeds are investigated. The obtained numerical results are compared with those reported in the literature indicating a good agreement.

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Stress-constrained thermo-elastic topology optimization of axisymmetric disks considering temperature-dependent material properties

Wang

Shi

et al. 2021

Mechanics of Advanced Materials and Structures

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Rapid low fidelity turbomachinery disk optimization

Cited by 10 publications

References 13 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 rotating variable thickness bladed disk for aircraft gas turbine engine using generalized differential quadrature method

Stress-constrained thermo-elastic topology optimization of axisymmetric disks considering temperature-dependent material properties

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