پديد آورنده :
گندم كار، محمد
عنوان :
تحليل عددي مسائل مكانيك جامدات با روش بدون شبكه صريح
گرايش تحصيلي :
طراحي كاربردي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده مكانيك
صفحه شمار :
سيزده،131ص.: مصور،جدول،نمودار
يادداشت :
ص.ع.به فارسي و انگيسي
استاد راهنما :
محمود فرزين، حميد هاشم الحسيني
استاد مشاور :
حسين دلايلي
توصيفگر ها :
تحليل صريح , فرم قوي و ضعيف , ميرايي , انتگرال گيري عددي
تاريخ نمايه سازي :
1/5/92
استاد داور :
بيژن برومند، محمد محمدي مقام، مهران مرادي، محمد مشايخي
كد ايرانداك :
ID518 دكتري
چكيده فارسي :
به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي
چكيده انگليسي :
Numerical Analyses of Solid Mechanics Problems by Explicit Meshless Methods Mohammad Gandomkar mgd gandomkar@me iut ac ir Date of Submission 2013 01 23 Department of Mechanical Engineering Isfahan University of Technology Isfahan 84156 83111 Iran Degree Ph D Language FarsiSupervisor Mahmoud Farzin Farzin@cc iut ac ir Sayed Hossein Hashemolhoseini hamidh@cc iut ac irAbstract In this thesis the capabilities of two meshless methods have been investigated based on explicit timeintegration procedure for solid mechanics problems In the first method the point collocation method isused In this method the momentum equation with any damping term can be used to analyse 2D problems In this research strain rate based damping is used that can compensate the errors due to enforcement ofessential and natural boundary conditions and the errors due to low degree polynomial basis functions Thismethod does not require any special treatment for either essential boundary conditions or natural boundaryconditions Some tests are analyzed and the numerical results showed that this fully explicit meshlessapproach is a useful method to analyze elasto dynamic and elasto plastic problems in simple domains The research is continued by improving the differentiation accuracies especially in boundaries by sometechniques such as using the basis functions with higher order polynomial terms that yield some reasonableresults In the second method the weak form of momentum equation is used A new method was presented toevaluate the integrals of the Galerkin weak form in meshless methods without any background mesh Simple Kriging interpolation method has been used to obtain the weights at the integration points Then theintegration of the Galerkin weak form is evaluated using the introduced weights of the integration points Simple Kriging interpolation has also been used to obtain a diagonal mass matrix Universal Kriginginterpolation was used for construction of the shape functions Using the universal Kriging interpolationfunction which possesses the Kronecker delta property enforcement of the essential boundary conditions isdone readily The number of integration points in the present method can be the same as nodal points The arrangement and number of integration points is independent of the nodal points To obtain moreaccurate results an adequate number and arrangement for the integration points can be determined byseveral trial runs Different types of arrangements for integration points are examined for 2D elasticityproblems and the accuracy of the results is compared by numerical examples The accuracy and efficiency of this integration procedure has been shown by several examples in 2Delasticity problems 2D free vibration problems and analyzing a plastic large deformation problem Thecompression of an axisymmetric ring is analysed by the present method The results show that this methodis accurate and can be comparable with FEM Keywords Meshless Methods Explicit time integration Strong and weak formulation Dampingterm weak form integration
استاد راهنما :
محمود فرزين، حميد هاشم الحسيني
استاد مشاور :
حسين دلايلي
استاد داور :
بيژن برومند، محمد محمدي مقام، مهران مرادي، محمد مشايخي
