Moradi-Dastjerdi, R., Foroutan, M., Pour Asghar, A. (2009). Free and Forced Vibration Analysis of Functionally Graded Material Cylinders by a Mesh-Free Method. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2(1), 69-77.
R. Moradi-Dastjerdi; M. Foroutan; A. A. Pour Asghar. "Free and Forced Vibration Analysis of Functionally Graded Material Cylinders by a Mesh-Free Method". Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2, 1, 2009, 69-77.
Moradi-Dastjerdi, R., Foroutan, M., Pour Asghar, A. (2009). 'Free and Forced Vibration Analysis of Functionally Graded Material Cylinders by a Mesh-Free Method', Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2(1), pp. 69-77.
Moradi-Dastjerdi, R., Foroutan, M., Pour Asghar, A. Free and Forced Vibration Analysis of Functionally Graded Material Cylinders by a Mesh-Free Method. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2009; 2(1): 69-77.
Free and Forced Vibration Analysis of Functionally Graded Material Cylinders by a Mesh-Free Method
In this paper, free and forced vibration analysis of functionally graded material cylinders was carried out by mesh-free and finite element method. In this analysis, MLS shape functions are used for approximation of displacement field in the weak form of motion equation and essential boundary conditions are imposed by transformation method. Resulted set of differential equations are solved using central difference approximation. Mechanical properties of cylinders were assumed to be variable in the radial direction as a function of volume fraction. Effects of geometrical dimensions of the cylinders, exponent of material volume fraction and the effect of loading type were investigated by the proposed model and FEM. Results obtained by this analysis were compared with the analytical solutions and the results of finite element analysis, and a very good agreement was seen between them.
تحلیل ارتعاشات آزاد و اجباری استوانه‌هایی ازجنس مواد هدفمند به روش بدون المان
Authors [Persian]
رسول مرادی دستجردی1; مهرداد فروتن2; امین‌الله پوراصغر3
1کارشناس ارشد، باشگاه پژوهشگران جوان، دانشگاه آزاد اسلامی واحد خمینی‌شهر
2استادیار، گروه مهندسی مکانیک، دانشکده فنی- مهندسی، دانشگاه رازی کرمانشاه
3دانشجوی کارشناسی ارشد، گروه مهندسی مکانیک، دانشکده فنی- مهندسی، دانشگاه رازی کرمانشاه
Abstract [Persian]
در این تحقیق تحلیل ارتعاشات آزاد و اجباری در استوانه‌هایی از جنس مواد هدفمند به روش‌های بدون المان و المان محدود بررسی شده است. روش بدون المان استفاده شده مبتنی بر فرم ضعیف معادله حرکت است. در این روش بدون المان از توابع شکل حداقل مربعات متحرک برای تقریب میدان تغییر مکان و از روش تبدیل برای اعمال شرایط مرزی اساسی استفاده شده است. برای حل مسئله وابسته به زمان نیز روش تقاضل محدود مرکزی به‌کار رفته است. تغییرات خواص مواد در راستای شعاعی و طبق رابطه کسر حجمی در نظر گرفته شده است. در این مقاله اثر ضخامت استوانه، توان کسر حجمی توزیع مواد و همچنین اثر نوع بارگذاری بر مولفه‌های ارتعاشی این استوانه‌ها بررسی شد. نتایج حاصل از دو روش بدون المان و المان محدود با یکدیگر و با کارهای قبلی منتشر شده مقایسه و مطابقت بسیار خوبی مشاهده شد.
Keywords [Persian]
مواد هدفمند، روش بدون المان، حداقل مربعات متحرک، ارتعاشات، تابع تبدیل
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