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تحلیل دینامیکی میکرولولههای حامل سیال واقع بر بسترهای مختلف | ||
| نشریه مهندسی مکانیک امیرکبیر | ||
| مقاله 1، دوره 52، شماره 1، فروردین 1399، صفحه 3-16 اصل مقاله (1.81 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/mej.2018.14743.5926 | ||
| نویسندگان | ||
| حامد میرطالبی1؛ علی ابراهیمی ممقانی* 2 | ||
| 1کارشناسی ارشد مهندسی مکانیک، دانشگاه تربیت مدرس، تهران، ایران | ||
| 2دانشکده مهندسی مکانیک دانشگاه تربیت مدرس | ||
| چکیده | ||
| در این مقاله تحلیل دینامیکی میکرولوله های حامل سیال قرار گرفته بر انواع بسترها با استفاده از تئوری االستیسیته کوپل اصالح یافته به طور کامل مورد بررسی قرار گرفته است. معادالت دینامیکی حاکم بر سیستم با استفاده از اصل همیلتون توسعه‌یافته استخراج شده اند. حل عددی معادله با کمک روش گالرکین انجام شده است. برای صحت سنجی راهحل ارائه شده، نتایج مدل ساده شده با نتایج موجود در ادبیات فنی مطابقت داده شده اند. نمودارهای پایداری برای هر بستر استخراج شده اند و مطالعه جامعی برای بررسی اثرات پارامترهای مختلف همچون پارامتر مقیاس طولی ماده، قطر خارجی، بسترهای االستیک غیریکنواخت، جزئی، سری و پاسترناک انجام شده است. نتایج نشان می دهند با توجه به مقدار پارامتر بی بعد جرم، بسترهای االستیک می توانند باعث افزایش و همچنین کاهش نواحی پایداری سیستم شوند. عالوه بر آن مشخص شده است بسترهای سری نه تنها توانایی شبیه سازی محیط های گوناگون اطراف میکرولوله را دارند، بلکه می توانند در طراحی بهینه میکرولوله ها، پایداری آنها را برای محدوده های کاری مختلف، به صورت چشمگیری افزایش دهند. | ||
| کلیدواژه‌ها | ||
| میکرولوله حامل جریان سیال؛ تئوری تنش کوپل اصلاح‌شده؛ مرزهای پایداری؛ بسترهای الاستیک و پاسترناک؛ فرکانس مختلط | ||
| عنوان مقاله [English] | ||
| On the Vibrational Analysis of Cantilevered Fluid Conveying Micro-Beams Rested on Various Elastic Foundations | ||
| نویسندگان [English] | ||
| hamed mirtalebi1؛ Ali Ebrahimi Mamaghani2 | ||
| 1Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran | ||
| 2Mechanical Engineering department, Tarbiat Modares University, Tehran, Iran | ||
| چکیده [English] | ||
| In this research, using modified couple stress theory, dynamic stability of a cantilevered fluid conveying beam embedded in several types of surrounded elastic media has been studied. The governing equation for lateral vibrations of the micro-tube conveying fluid is derived using the extended Hamilton’s principle. The numerical results are obtained by employing the extended Galerkin’s method. For the sake of validation, the acquired results for simple cases are compared and outcomes indicate a very good agreement with those of previous studies available in the literature. The stability diagrams of different configurations with different flow velocities are studied and the effects of various factors such as material length scale, external diameter and different elastic properties on the stability of the system are considered. Results indicate that elastic surrounding media may enlarge the stability regions significantly at larger values of mass ratio parameter while decrease it for smaller values of mass ratio parameter. Furthermore, using elastic media mathematically defined by series functions provides the capability to simulate almost any real time operational environment the micro-tube embedded in and results in an optimal stability state of the micro-structure carrying fluid flow. | ||
| کلیدواژه‌ها [English] | ||
| Micro-tube Conveying Fluid, Modified Couple Stress Theory, Stability boundaries, Elastic and pasternak foundations introduction | ||
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