Vibration and Buckling of Double-Graphene Sheet-Systems with an Attached Nanoparticle Based on Classical and Mindlin Plate Theories Considering Surface Effects
محورهای موضوعی : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیک
محمد هاشمیان
1
(استادیار، دانشکده مکانیک، دانشگاه آزاد اسلامی واحد خمینی شهر)
کلید واژه: Vibration, Graphene sheet, Coupled system, Surface effect, Classic theory, Mindlin theory,
چکیده مقاله :
Vibration of double-graphene sheet-system is considered in this study. Graphene sheets are coupled by Pasternak elastic medium. Classic and Mindlin plate theories are utilized for modeling the coupled system. Upper sheet carries a moving mass. Governing equations are derived using energy method and Hamilton’s principle considering surface stress effects and nonlocal parameter. Using Galerkin method, figures of frequency versus nonlocal parameter are drawn and the effects of different parameters such as moving mass, surface effects and etc. are discussed. Results show considering surface effects, the frequency of coupled system increases. Also heavier mass and farther mass away from supports will result in lower frequencies
در این تحقیق ارتعاشات دو نانو صفحه­ی گرافنی کوپل شده به یکدیگر مورد بررسی قرار گرفته است. نانوصفحات توسط محیط الاستیک پاسترناک به یکدیگر مرتبط شده­اند. از تئوری­های ورق کلاسیک و میندلین برای مدل­سازی نانوصفحات استفاده شده است. بر روی نانوصفحه­ی بالایی جرمی قرار دارد. روابط حاکم بر اساس روش انرژی و اصل همیلتون بدست آمده و با در نظر گرفتن تئوری­های اثرات تنش سطح و ارینگن ، بصورت غیرموضعی بیان شده­اند. با استفاده از روش گالرکین نمودارهای فرکانس بر اساس پارامتر مقیاس کوچک رسم شده و تأثیر پارامترهایی چون جرم متحرک، اثرات سطح و ... بحث شده­اند. نتایج نشان­ می­دهند که با در نظر گرفتن اثرات سطح، فرکانس سیستم افزایش می­یابد، همچنین اجرام سنگین­تر دور از تکیه­گاه­ها، کاهش فرکانس را در بر دارند. [1]Double-Graphene Sheet-System [2]Classic plate theory [3] Mindlin plate theory [4] Surface stress effects [5] Eringen
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