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تأثیر جریان سیال بر پاسخ دینامیکی وابسته به اندازه میکروتیرهای یکسر گیردار با استفاده از تئوری گرادیان کرنشی اصلاح شده و تئوری تیر تغییر شکلپذیر برشی هایپربولیک | ||
مکانیک هوافضا | ||
مقاله 5، دوره 18، شماره 3 - شماره پیاپی 69، مهر 1401، صفحه 53-68 اصل مقاله (1.61 M) | ||
نوع مقاله: گرایش دینامیک، ارتعاشات و کنترل | ||
نویسندگان | ||
بابک رمضانی دروازی1؛ جواد رضاپور* 2؛ سعید روحی3؛ راهب غلامی4 | ||
1دانشجوی دکتری، گروه مهندسی مکانیک، واحد لاهیجان، دانشگاه آزاد اسلامی، لاهیجان، ایران | ||
2نویسنده مسئول: استادیار، گروه مهندسی مکانیک، واحد لاهیجان، دانشگاه آزاد اسلامی، لاهیجان، ایران | ||
3استادیار، گروه مهندسی مکانیک، واحد لنگرود، دانشگاه آزاد اسلامی، لنگرود، ایران | ||
4استادیار، گروه مهندسی مکانیک، واحد لاهیجان، دانشگاه آزاد اسلامی، لاهیجان، ایران | ||
تاریخ دریافت: 08 اردیبهشت 1401، تاریخ بازنگری: 20 خرداد 1401، تاریخ پذیرش: 24 تیر 1401 | ||
چکیده | ||
در این تحقیق، به مطالعه تحلیلی ارتعاشات القایی ناشی از جریان سیال در میکروتیرهای یکسرگیردار پرداخته شده است. معادلات حاکم بر حرکت بر اساس تئوری تیر هایپربولیک و در نظر گرفتن اندرکنش بین سازه و سیال استخراج شده است. به منظور در نظر گرفتن اثر اندازههای کوچک از تئوری گرادیان کرنش بهبود یافته استفاده شده است. هدف اصلی این مطالعه نشان دادن میزان تأثیر جریان سیال بر رفتار دینامیکی میکروتیرها میباشد. معادلات حرکت با استفاده از روش گالرکین گسستهسازی شده و سپس با روش حل عددی جواب معادلات به دست آمده است. با بیبعدسازی معادلات، پاسخ دینامیکی سیستم و منحنیهای دامنه-سرعت جریان سیال به ازای مقادیر مختلف پارامتر اندازههای کوچک و سرعت جریان سیال استخراج و تأثیر این پارامترها بر رفتار دینامیکی سیستم مطالعه شده است. نتایج نشان میدهد که استفاده از تئوری تیر هایپربولیک نتایج دقیقتری نسبت به تئوری تیرهای کلاسیک تیر اویلر-برنولی و تیموشنکو در اختیار میگذارد. مشاهده میشود که ناحیه قفلشدگی و حداکثر دامنه به وجود آمده در میکروتیر برای سه تئوری تحت بررسی متفاوت میباشد. همچنین، تئوری اویلر-برنولی فرکانسهای طبیعی را بیشتر از دو تئوری دیگر پیشبینی میکند که علت آن صرفنظر کردن از اینرسی دورانی سطح مقطع تیر میباشد. تئوری تیر تیموشنکو فرکانسهای نوسانات را بیشتر از تئوری تیر هایپربولیک پیشبینی میکند ولی به ازای مقادیر بزرگتر طول، فرکانس طبیعی دو تئوری تیر تیموشنکو و تیر هایپربولیک تقریباً برهم منطبق میشوند. | ||
کلیدواژهها | ||
میکروتیر؛ ارتعاشات ناشی از جریان سیال؛ تئوری تیر هایپربولیک؛ فرکانس طبیعی | ||
عنوان مقاله [English] | ||
Fluid Flow Effects on Size-dependent Dynamic Response of Cantilever Microbeams using Modified Strain Gradient and Hyperbolic Shear Deformation Beam Theory | ||
نویسندگان [English] | ||
Babak Ramazani Darvazi1؛ Javad Rezapour2؛ Saeed Rouhi3؛ Raheb Gholami4 | ||
1Ph.D. Student, Faculty of Mechanical Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran | ||
2Corresponding author: Assistant Professor, Faculty of Mechanical Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran | ||
3Assistant Professor, Faculty of Mechanical Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran | ||
4Assistant Professor, Faculty of Mechanical Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran. | ||
چکیده [English] | ||
An analytical study on fluid induced dynamics of cantilever microbeam is presented in this paper. Modified strain gradient theory has been used to consider the effect of small sizes. By considering the interaction between structure and fluid, the governing equations of motion are derived from hyperbolic beam theory. Governing equations of motion are discretized with the Galerkin method, and then the solution is found numerically. The dynamic response of the system and the amplitude-velocity curves of the fluid flow at different values of small size parameters and fluid flow velocity are determined and the effects of these parameters are examined. The results show that the hyperbolic beam theory provides more accurate results than classical Euler-Bernoulli and Timoshenko beam theories. Each of the three theories exhibits different lock-in regions and maximum amplitudes of the microbeam. It is also relevant to note that Euler-Bernoulli's theory predicts natural frequencies more than the other two theories, which ignores the rotational inertia of the beam's cross-section. Timoshenko beam theory predicts higher oscillation frequencies than hyperbolic beam theory, however, when the length is increased, the natural frequencies for the two theories are almost identical. | ||
کلیدواژهها [English] | ||
Microbeam, Fluid-Induced Vibration, Hyperbolic Beam Theory, Natural Frequency | ||
مراجع | ||
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آمار تعداد مشاهده مقاله: 181 تعداد دریافت فایل اصل مقاله: 193 |