The Karush–Kuhn–Tucker optimality conditions in minimum weight design of elastic rotating disks with variable thickness and density

Rotating discs work mostly at high angular velocity. High speed results in large centrifugal forces in discs and induces large stresses and deformations. Minimizing weight of such disks yields various benefits such as low dead weights and lower costs. In order to attain a certain and reliable analys...

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Main Author:	Sanaz Jafari
Format:	Article
Language:	English
Published:	Growing Science 2011-10-01
Series:	International Journal of Industrial Engineering Computations
Subjects:	Rotating annular disk Variable thickness Variable density Optimization Karush-Kuhn-Tucker method
Online Access:	http://www.growingscience.com/ijiec/Vol2/IJIEC_2011_33.pdf

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spelling	doaj-471cc5546c3b4cb58fb7577f3565661a2020-11-24T22:38:12ZengGrowing ScienceInternational Journal of Industrial Engineering Computations1923-29261923-29342011-10-0124765774The Karush–Kuhn–Tucker optimality conditions in minimum weight design of elastic rotating disks with variable thickness and densitySanaz JafariRotating discs work mostly at high angular velocity. High speed results in large centrifugal forces in discs and induces large stresses and deformations. Minimizing weight of such disks yields various benefits such as low dead weights and lower costs. In order to attain a certain and reliable analysis, disk with variable thickness and density is considered. Semi-analytical solutions for the elastic stress distribution in rotating annular disks with uniform and variable thicknesses and densities are obtained under plane stress assumption by authors in previous works. The optimum disk profile for minimum weight design is achieved by the Karush–Kuhn–Tucker (KKT) optimality conditions. Inequality constrain equation is used in optimization to make sure that maximum von Mises stress is always less than yielding strength of the material of the disk. http://www.growingscience.com/ijiec/Vol2/IJIEC_2011_33.pdfRotating annular diskVariable thicknessVariable densityOptimizationKarush-Kuhn-Tucker method
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Sanaz Jafari
spellingShingle	Sanaz Jafari The Karush–Kuhn–Tucker optimality conditions in minimum weight design of elastic rotating disks with variable thickness and density International Journal of Industrial Engineering Computations Rotating annular disk Variable thickness Variable density Optimization Karush-Kuhn-Tucker method
author_facet	Sanaz Jafari
author_sort	Sanaz Jafari
title	The Karush–Kuhn–Tucker optimality conditions in minimum weight design of elastic rotating disks with variable thickness and density
title_short	The Karush–Kuhn–Tucker optimality conditions in minimum weight design of elastic rotating disks with variable thickness and density
title_full	The Karush–Kuhn–Tucker optimality conditions in minimum weight design of elastic rotating disks with variable thickness and density
title_fullStr	The Karush–Kuhn–Tucker optimality conditions in minimum weight design of elastic rotating disks with variable thickness and density
title_full_unstemmed	The Karush–Kuhn–Tucker optimality conditions in minimum weight design of elastic rotating disks with variable thickness and density
title_sort	karush–kuhn–tucker optimality conditions in minimum weight design of elastic rotating disks with variable thickness and density
publisher	Growing Science
series	International Journal of Industrial Engineering Computations
issn	1923-2926 1923-2934
publishDate	2011-10-01
description	Rotating discs work mostly at high angular velocity. High speed results in large centrifugal forces in discs and induces large stresses and deformations. Minimizing weight of such disks yields various benefits such as low dead weights and lower costs. In order to attain a certain and reliable analysis, disk with variable thickness and density is considered. Semi-analytical solutions for the elastic stress distribution in rotating annular disks with uniform and variable thicknesses and densities are obtained under plane stress assumption by authors in previous works. The optimum disk profile for minimum weight design is achieved by the Karush–Kuhn–Tucker (KKT) optimality conditions. Inequality constrain equation is used in optimization to make sure that maximum von Mises stress is always less than yielding strength of the material of the disk.
topic	Rotating annular disk Variable thickness Variable density Optimization Karush-Kuhn-Tucker method
url	http://www.growingscience.com/ijiec/Vol2/IJIEC_2011_33.pdf
work_keys_str_mv	AT sanazjafari thekarushkuhntuckeroptimalityconditionsinminimumweightdesignofelasticrotatingdiskswithvariablethicknessanddensity AT sanazjafari karushkuhntuckeroptimalityconditionsinminimumweightdesignofelasticrotatingdiskswithvariablethicknessanddensity
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The Karush–Kuhn–Tucker optimality conditions in minimum weight design of elastic rotating disks with variable thickness and density

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