10991

10122

كارشناسي ارشد

طراحي كاربردي

اصفهان: دانشگاه صنعتي اصفهان، دانشكده مهندسي مكانيك

1394

ده، 59ص.: مصور

عليرضا شهيدي

حميدرضا ميردامادي

94/11/18

محمدرضا فروزان، مهران مرادي

مهندسي مكانيك

ID10122

چكيده فلبسي و ثب ا شفبى ا ديؾ ث يه غق ت ب ي ػ و ب ي سي ب ش ي ا ي وب ث ى بيي ـ ا الف ضؼيز مب و ى غ ف ىا ي اػ ب ثب بي هب ػي ث غ ف س بي ف ب ي ه ي ث ي ى اي فل ب ايؼبى و ى و ؼ ث دييي و ب ضؼي بيشب بدبييا ي فل ي ىى غق ت ب غ ا فشب و ب ي فل ى ى ػ ز ي ػت و ب يهع ف ي ى و ػي ئ س ب ي ا ز ديؾ بي اس ب ي ث ػ ا ليي بي اضبفي ػ يو ي ثب س ػ ث وب ث ى ش ى فلبر FGM ى ب بي ثي ب ػ ى ى ؼز ى اي دبيب ب سل ي و ب ضؼي يهع ف فلبر شغي ي FGM و ثب ديؾ ث يه ث ش ت ش ي ا ي ثب ا شفبى ا ي ي يش ث و ه ض ايت ال ا ا ؼب فش ا ز ييا ػبث ػبيي ثب ا شفبى ا س اثغ ؿ يػ اي ب ت سؼ يف ي غق س ب ي ث ر يه ث ش ت ي ي ا ز لي ى ب ي ا ديؾ ب ي ثب و ه ض ايت ال ا ى ك ئ ظ ي ا ز ض ايت و ب ضؼي سلز ا اع ثب ا ي بي ى فل ل ي ث ي ثب ى ظ فش ايظ ي جز اثؼبى شفب ر ا ائ ه ا ي ي كلمات كليدي لي ىيز يهع ف و ب فل شغي ي اى ى ػ ث يي ي سبثؼي 1

Unilateral Buckling of Point Restrained Rectangular Functionally Graded Material Plates Mehdi Moshfegh m moshfegh@me iut ac ir Date of Submission 2015 12 25 Department of Mechanical Engineering Isfahan University of Technology Isfahan 84156 83111 Iran Degree M Sc Language FarsiSupervisor Alireza Shahidi Shahidi@cc iut ac irAbstract Most researches being done in the field of local buckling of plates with elastic restraints have beenconfined to plates tied to the foundations However in many structures the foundation has a tensionlessbehavior for example a plate resting on a rigid surface in which only the outward movement of theplate relative to the foundation is allowed The type of restraint in which the structure is restricted tomove or buckle in one direction is defined as the unilateral boundary condition Unilateral buckling isknown as a contact problem in the mathematical literature Research into unilaterally restrainedstructures mainly requires numerical techniques to solve and so studies of their behavior have beenlimited to the last 30 years or so Penalty method mathematical programming and direct substitution ofbuckling mode shapes are three prevalent methods in the literature for investigating the behavior ofthese structures In present research the unilateral buckling behavior of point restrained rectangular FunctionallyGraded Material plates is studied Firstly the energy functional of a general rectangular plate withelastic foundation is calculated The Rayleigh Ritz method for investigating the local buckling ofunilaterally restrained rectangular plates is applied The displacement functions and restraining mediumare modeled as polynomials and tensionless foundation respectively The results are obtained fordifferent boundary conditions aspect ratios and various in plane compressive and shear loadings Confirming the validity of this investigation convergence and comparison studies are undertaken Thecomparisons show the efficiency and accuracy of the presented method It is interesting to note that the unilateral buckling behavior of Functionally Graded Material plateshas received far less attention than their homogenous counterparts That is why this research attempts tobridge this gap This research has presented the first known analysis in the unilateral buckling behaviorof rectangular FGM plates with elastic foundation The results show that the increase of aspect ratios and FGM power index volume decreases thecritical buckling load Also it is demonstrated that the unilateral buckling load is almost constant afterincreasing the number of bolts over 20 As the increases of bolts distance from the edge of plate thearea surrounded by bolts decreases and thus the local buckling load corresponded to this area increases On the other hand as the area between bolts and the edges of rectangular plate increase the localbuckling load of this area decreases Therefore the combination of these two behaviors would result inthe total behavior of critical load for the whole area of plate Additionally the optimum distance inwhich the critical load is maximum Keywords Unilateral restraints Buckling Rectangular plate Functionally Graded Material 61

عليرضا شهيدي

حميدرضا ميردامادي

محمدرضا فروزان، مهران مرادي