Determination of the Optimum Configuration for the FGM Rotating Cylinder Based on Thermo-mechanical Stresses

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1 5-4! *-./ -,-+.-./, ()*+' %&' -)68 4 ' / - - >. - < ; : >. - < ; : ' 9 )6 '& * * ;<+ > Q P< A K LMN ; OF.. H I. J - < ABC YZ 5 J Q F H O VW. X ) H 5C? 5CK S T 4 : U J 5 5 Q K. 4 A< Q P< A BBC ) K. ] 5 T 4 / Q \C B< [ K. VW... 4 FN. :: A K a D F - F4 5 / Q \C 4 _ `B; 58< 5 [ /. H A< BZ - ] ^..4 FN. [ 58C K. Q J 8 BBC A< - < ABC :9?- Deteination of the Optiu Configuation fo the FGM otating Cylinde Based on Theo-echanical Stesses F. Vakili-Tahai S. Saadatand Hashei A. asoulian Faculty of Mechanical ngineeing, Univesity of Tabiz, Tabiz, Ian Young eseaches and lite Club, Tabiz Banch, Islaic Azad Univesity, Tabiz, Ian Young eseaches and lite Club, Tabiz Banch, Islaic Azad Univesity, Tabiz, Ian Abstact In this pape theo-echanical analysis fo a tating thick cylinde ade of FGM is caied out. Fo this pupose, govening diffeential equations of the tepeatue and displaceent distibution fo the FGM cylinde have been developed assuing plane stain and axial syety. Then, by consideing an exponential function fo fo the ateial ppety distibution of the FGM along the cylinde thickness; and, using analytical solution ethod, the govening diffeential equations fo tepeatue distibution have been solved. Based on the calculated tepeatue distibution and govening diffeential equations fo displaceent the echanical behavio of the cylinde has been investigated. Finally, accoding to the stess distibutions fo diffeent tating speed and intenal pessue, the safety factos have been obtained and the optiu ateial distibution is deteined. Keywods: Theo-echanical Analysis, Analytical Solution, otating Cylinde, Functionally Gaded Mateial (FGM), Optiu Mateial Distibution. K. 4 BZ - C / J 8 5. L ] /.. u / 58A4 O <.J U J Q ; \ K. P;D : J 8. 5> 5 l. [] J8 LMN S89. I. C lb 5C /: T T. Bv P< _: A K. \ V 4 JN A K LMN A ow YZ 4 5P? 5N ^N4 /: l. [] 8 6:9- - C J 8.M. 5> 5 q. ; y ].M l U BZ ; FJ8 :Z BZ 58M J 8 M 5> 6 l. [4] x 5.Z J 8 z> C J ; b] -.M / Z A - J 8 YZ. O d L Nc. af. ] e;- H ^ F.. h?c f. ibj 58g;- 4 Z4. YZ L ] : W YZ F l 5M a k>z? :. ]. L J 8 N 6 - H 58 :.. 4 `B; L/: LK 58 AJC BI 585*H AJC `B; Q - C ; K. on. HH L/: H `B; [] p q. J8 ; Z. F 5 ; 586: 8S hi A< 5> l. * a.s.asoulian@tabizu.ac.i : 95/4/8 :! 95// :) *!

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