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بررسی ارتعاش آزاد ورق کامپوزیتی تقویت شده با نانو لولههای کربنی به همراه لایه مگنتوالکتروالاستیک | ||
| نشریه مهندسی مکانیک امیرکبیر | ||
| مقاله 2، دوره 50، شماره 1، فروردین و اردیبهشت 1397، صفحه 15-24 اصل مقاله (862.47 K) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/mej.2016.11818.5191 | ||
| نویسندگان | ||
| سهیل رضوی* ؛ علیرضا شوشتری | ||
| گروه مهندسی مکانیک، دانشگاه بوعلی سینا، همدان، ایران | ||
| چکیده | ||
| چکیده: در این تحقیق، ارتعاش آزاد ورق مستطیلی هوشمند دولایهای متشکل از یک لایه کامپوزیتی تقویت شده با نانولولههای کربنی تک جداره و یک لایه هوشمند چندفازی مگنتوالکتروالاستیک بررسی شده است. نانولولههای کربن به صورت یکنواخت در راستای ضخامت لایه کامپوزیتی توزیع شدهاند. دمای محیط به صورت یکنواخت تغییر میکند. ورق بر روی تکیه گاه ساده قرار گرفته شده و تحت بارگذاریهای الکتریکی و مغناطیسی میباشد. از نظریۀ برشی مرتبه اول ورقها برای تعیین معادلات حرکت ورق استفاده شده و از قوانین گاوس برای حالتهای الکترواستاتیک و مگنتواستاتیک برای مدل سازی رفتار مگنتوالکتریک استفاده شده است. با بیان متغیرهای تعمیم یافته ورق به صورت سری فوریه دوگانه و استفاده از روابط تعامد توابع مثلثاتی، معادلات دیفرانسیل جزئی به دستگاه معادله جبری برحسب بسامد طبیعی ورق تبدیل گردیدهاند و رابطهای تحلیلی برای بسامد طبیعی اصلی ورق به دست آمده است. پس از صحهگذاری مدل پیشنهادی، مثالهایی برای بررسی اثرات پارامترهای مختلف بر روی پاسخ ارتعاش آزاد این ورق هوشمند ارائه شدهاند. | ||
| کلیدواژهها | ||
| ارتعاش آزاد؛ ورق مستطیلی؛ کامپوزیت تقویت شده با نانو لوله کربنی؛ لایه مگنتوالکتروالاستیک | ||
| عنوان مقاله [English] | ||
| On the Free Vibration Analysis of a CNT-Reinforced Plate Bonded to a Magnetoelectroelastic Layer | ||
| نویسندگان [English] | ||
| S. Razavi؛ A. Shooshtari | ||
| Mechanical Engineering Department, Bu-Ali Sina University, Hamedan, Iran | ||
| چکیده [English] | ||
| ABSTRACT: In this study, free vibration of a two-layered smart rectangular plate composed of a singlewalled carbon nanotube-reinforced layer and a magnetoelectroelastic layer are investigated. Carbon nanotubes are distributed uniformly along the thickness of the composite layer. The temperature of the environment changes uniformly. The plate is simply-supported and subjected to electric and magnetic loadings. First-order shear deformation theory is used to determine the equations of motion of the plate, and Gauss’s laws for electrostatics and magnetostatics are used to model the magnetoelectric behavior of the plate. By defining the generalized displacements of the plate in double Fourier series form and then by using orthogonality principle of trigonometric functions, the partial differential equations of motion are transformed into a set of algebraic equations in terms of the natural frequency of the plate. Therefore, an analytical relation is obtained for the fundamental natural frequency. After validation of the proposed model, some examples are presented to investigate the effects of several parameters on the free vibration response of this smart plate. | ||
| کلیدواژهها [English] | ||
| free vibration, Rectangular plate, Carbon nanotube-reinforced composite, Magnetoelectroelastic layer | ||
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| مراجع | ||
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