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
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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