پديد آورنده :
خليف پور، امير
عنوان :
تحليل ارتعاش آزاد نانو صفحه مستطيلي مدرج تابعي به روش گالركين
مقطع تحصيلي :
كارشناسي ارشد
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده مكانيك
صفحه شمار :
يازده، ۹۲ص.: مصور، جدول
استاد راهنما :
عليرضا سعيدي ريزي
استاد مشاور :
سعيد ضيائي راد
توصيفگر ها :
ارتعاش آزاد , نانو صفحه مدرج تابعي , نظريه گردايان كرنش اصلاح شده , روش گالركين
استاد داور :
رضا تيكني، مهدي سلماني تهراني
تاريخ ورود اطلاعات :
1396/11/16
چكيده انگليسي :
Free vibration analysis of a functionally graded rectangular nano plate using Galerkin s procedure Amir Khalifpour a khalifpour@me iut ac ir January 8 2018 Department of Mechanical Engineering Isfahan University of Technology Isfahan 84156 83111 IranDegree Master of Science Language FarsiSupervisor Alireza Shahidi Assist Prof shahidi@cc iut ac ir AbstractIn this thesis strain gradient elasticity theory containing three material length scale parameters is applied toanalyze the in plane and out of plane frequencies of free vibration behavior of a simply supported functionallygraded nanoplate The material properties of FGM nanoplate are assumed to vary continuously and acrossthe thickness direction on the basis of simple power law function and classical rule of mixture homogenizationtechnique To describe deformation of FGM nanoplate a general displacement filed will be used which includesseveral kinematic theories such as Classical Mindlin and Reddy plate theory According to the Hamilton sprinciple the equations of motion and boundary conditions are derived Galerkin s procedure is implemented tosolve the governing equations and achieve mass and stiffness matrices of the system For validity and accuracyof the present solution obtained numerical results are compared with the previous literature Finally selectednumerical results are presented to investigate the influences of material length scale parameters power lawindex length to thickness ratio and transverse shear deformation on the in plane and out of plane frequenciesof functionally graded nanoplate with the simply supported boundary condition at all edges Considering theobtained results it was clear that due to increasing stiffness of the system the frequency of the size dependentplate model is more than classical plate model Furthermore the natural frequencies increase significantlywhen the plate thickness becomes comparable to material length scale parameters these size effects decreaseor even disappear as the thickness of the plate is far greater than the material length scale parameters Inaddition increasing the power law index and decreasing plate thickness would decrease natural frequencies inboth classical and size dependent models KeywordsFree vibration Functionally graded nanoplate Strain gradient elasticity theory Galerkin s procedure
استاد راهنما :
عليرضا سعيدي ريزي
استاد مشاور :
سعيد ضيائي راد
استاد داور :
رضا تيكني، مهدي سلماني تهراني
