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تحلیل کمانش و ارتعاشات میکرو‌ورق نانوکامپوزیتی کوپله‌ی تقویت‌شده با نانولوله‌های کربنی و نیترید بور به طور همزمان براساس تئوری گرادیان کرنشی تعمیم‌یافته | ||
| نشریه مهندسی مکانیک امیرکبیر | ||
| مقاله 7، دوره 51، شماره 1، فروردین و اردیبهشت 1398، صفحه 79-96 اصل مقاله (837.69 K) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/mej.2017.13123.5543 | ||
| نویسندگان | ||
| مهدی محمدی مهر* ؛ مجتبی محرابی؛ احسان شعبانی نژاد | ||
| دانشکده مهندسی مکانیک، دانشگاه کاشان، کاشان، ایران | ||
| چکیده | ||
| در مطالعه حاضر، تحلیل کمانش و ارتعاشات آزاد میکرو ورق کامپوزیتی کوپله‌ی تقویت شده با نانو لوله ها تحت تأثیر تنش اولیه و واقع بر بستر اورتوتروپیک بر اساس تئوری تغییرشکل برشی سینوسی و در حضور میدان‌های فیزیکی مختلف بررسی شده است. روابط مربوط به تنش که شامل ترم‌های مکانیکی، الکتریکی، مغناطیسی و حرارتی هستند، توسط تئوری گرادیان کرنشی تعمیم یافته محاسبه شده و معادلات حاکم بر حرکت با استفاده از اصل همیلتون به دست آمده اند. با حل معادلات حاکم بر حرکت، تأثیر عوامل مختلف از قبیل ضریب مقیاس کوچک طول ماده، نسبت طول به ضخامت و عرض، ثابت‌های بستر اورتوتروپیک، تغییرات دما و کسر حجمی نانو لوله‌ها بررسی شده اند. نتایج حاصل از تحقیق نشان می‌دهد که افزایش ضریب مقیاس کوچک طول ماده، ثابت‌های بستر الاستیک، حضور نانولوله‌ها و میدان‌های فیزیکی مختلف علاوه بر آن که فرکانس‌های طبیعی و بار کمانش بحرانی سیستم را افزایش می‌دهند، منجر به تأخیر پدیده رزونانس نیز می‌شوند. این در حالی است که افزایش دما به سبب تاثیری که در کاهش سفتی میکرو سازه دارد، منجر به کاهش فرکانس‌های طبیعی و بار کمانش بحرانی می‌شود. می‌توان بیان نمود که نتایج کار حاضر می‌تواند برای سیستم‌های مکانیکی-الکتریکی استفاده شده و زمینه کاملی برای مطالعات آتی ارائه دهد. | ||
| کلیدواژه‌ها | ||
| کمانش و ارتعاشات؛ تئوری تغییر شکل برشی سینوسی؛ تئوری گرادیان کرنشی تعمیم یافته؛ وابسته به دما؛ بستر اورتوتروپیک | ||
| عنوان مقاله [English] | ||
| Buckling and Vibration Analyses of Double-bonded Micro Composite Plates Reinforced by CNTs and BNNTs Based on MSGT | ||
| نویسندگان [English] | ||
| M. Mohammadi Mehr؛ M. Mehrabi؛ E. Shabani Nejad | ||
| Department of Mechanical Engineering, University of Kashan, Kashan, Iran | ||
| چکیده [English] | ||
| In this work, buckling and free vibration analyses of double-bonded micro composite plates reinforced by boron nitride and carbon nanotubes rested in an orthotropic foundation in presence of initial stresses and electro-magneto-thermal multi-physics fields are investigated based on sinusoidal shear deformation theory. The relation between electro-magneto-thermo-mechanical parameters are presented based on most general strain gradient theory and the governing equations of motions are obtained using Hamilton’s principle. With solving the governing equations of motions of double-bonded nanocomposite micro plates the effect of various parameters such as mass scale length parameter, lengthto- thickness and width ratios, orthotropic elastic constants, temperature changes and boron nitride and carbon nano tubes volume fractions are considered. The obtained results of this work demonstrate that the natural frequencies and critical buckling load enhance with increasing the mass scale length parameter, orthotropic elastic constants and nanotubes volume fractions and lead to delay the resonance phenomenon. While increasing the temperature changes lead to reduce the micro structure stiffness, natural frequencies and critical buckling load. It can be said that this application can be used in micro electro mechanical and nano electro mechanical systems and provide a great background for more studies. | ||
| کلیدواژه‌ها [English] | ||
| Buckling and vibration, Sinusoidal shear deformation theory, Most general strain gradient theory, Temperature-dependent, Orthotropic elastic foundation | ||
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| مراجع | ||
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