Analytical solutions to orthotropic variable thickness disk problems

Bu calismada es isil olmayan, ortotropik, degisken kesitli disklerin, farkli sinir kosullari altinda mekanik davranislarini tahmin edebilmek icin analitik bir model gelistirilmistir. Disk geometrisi icin temel mekanik denklemleri, ortotropik malzeme denklemleri ile birlestirilerek elastik denklem elde edilmistir. Bu denklem uygun bir donusum teknigi ile standart hipergeometrik diferansiyel denkleme donusturulmus ve bunun analitik cozumu hipergeometrik fonksiyonlar cinsinden bulunmustur. Cozumu tamamlayan sinir kosullari, iki ucu serbest donen, ic veya dis yuzeyden basinclandirilmis duragan degisken kesitli disklerin benzetisimini saglayacak sekilde secilmistir. Elde edilen sonuclar grafiksel olarak sunulmustur. Sonuclar gostermistir ki makalede incelenen her uc problem icin de elastik ortotropi parametresi diskin elastik davranisini etkileyen en onemli parametre olarak ortaya cikmistir. Anahtar Kelimeler:  Ortotropik diskler, Degisken kesit, Termo elastisite, Hipergeometrik denklem

[1]  A. Celik,et al.  On Transverse Vibrations of Functionally Graded Polar Orthotropic Rotating Solid Disk with Variable Thickness and Constant Radial Stress , 2004 .

[2]  Ahmet N. Eraslan,et al.  Elastic-plastic deformation of a rotating solid disk of exponentially varying thickness , 2002 .

[3]  A. Eraslan,et al.  A Parametric Analysis of Rotating Variable Thickness Elastoplastic Annular Disks Subjected to Pressurized and Radially Constrained Boundary Conditions , 2004 .

[4]  Stress distributions in elastic‐plastic rotating disks with elliptical thickness profiles using Tresca and von Mises criteria , 2005 .

[5]  Vincenzo Vullo,et al.  Elastic stress analysis of non-linear variable thickness rotating disks subjected to thermal load and having variable density along the radius , 2008 .

[6]  N. Tutuncu,et al.  An Efficient Unified Method for Thermoelastic Analysis of Functionally Graded Rotating Disks of Variable Thickness , 2013 .

[7]  Liping Liu.  THEORY OF ELASTICITY , 2012 .

[8]  Muzaffer Topcu,et al.  Elastic–plastic stress analysis of an orthotropic rotating disc , 2006 .

[9]  D. Rees.  Mechanics Of Solids And Structures , 1990 .

[10]  Rajeev Jain,et al.  Rotating anisotropic disc of uniform strength , 1999 .

[11]  R. Hill,et al.  A user-friendly theory of orthotropic plasticity in sheet metals , 1993 .

[12]  V. Lubarda.  On Pressurized Curvilinearly Orthotropic Circular Disk, Cylinder and Sphere Made of Radially Nonuniform Material , 2012 .

[13]  N. Tutuncu,et al.  Effect of anisotropy on stresses in rotating discs , 1995 .

[14]  B. P. Tang,et al.  Deformations and stresses in annular disks made of functionally graded materials subjected to internal and/or external pressure , 2009 .

[15]  H. Callioglu.  Stress Analysis of an Orthotropic Rotating Disc under Thermal Loading , 2004 .

[16]  David Abend.  Mechanics Of Solids And Structures , 2016 .

[17]  A. Zenkour.  Stress distribution in rotating composite structures of functionally graded solid disks , 2009 .

[18]  H. Saunders,et al.  Advanced Mechanics of Materials (4th Ed.) , 1988 .

[19]  Z. Zhong,et al.  Material tailoring for orthotropic elastic rotating disks , 2011 .

[20]  J. Reddy,et al.  Thermo elastic analysis of functionally graded rotating disks with temperature-dependent material properties: uniform and variable thickness , 2009 .

[21]  Andrey Shipsha,et al.  Shear coupling effects on stress and strain distributions in wood subjected to transverse compression , 2007 .

[22]  A. Ugural,et al.  Advanced strength and applied elasticity , 1981 .

[23]  Vandan Gupta,et al.  Creep Analysis in Anisotropic Composite Rotating Disc with Hyperbolically Varying Thickness , 2011 .

[24]  H. Argeso.  Analytical Solutions to Variable Thickness and Variable Material Property Rotating Disks for a New Three-Parameter Variation Function , 2012 .

[25]  M. Sönmez,et al.  MECHANICAL BEHAVIOR OF WOOD UNDER TORSIONAL TENSILE LOADINGS , 2003 .

[26]  A. Eraslan,et al.  A COMPUTATIONAL MODEL FOR PARTIALLY-PLASTIC STRESS ANALYSIS OF ORTHOTROPIC VARIABLE THICKNESS DISKS SUBJECTED TO EXTERNAL PRESSURE , 2014 .

[27]  Ahmet N. Eraslan,et al.  Limit angular velocities of variable thickness rotating disks , 2002 .