نشریه مهندسی مکانیک امیرکبیر

نشریه مهندسی مکانیک امیرکبیر

بررسی ارتعاش آزاد ورق ساندویچی با هسته آگزتیک در تماس با سیال بر اساس تئوری لایه‌ای

نوع مقاله : مقاله پژوهشی

نویسندگان
1 گروه مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه اراک، اراک، ایران.
2 گروه مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه آزاد اسلامی واحد اراک، اراک، ایران
چکیده
در این مقاله، مشخصه‌های ارتعاش آزاد ورق ساندویچی مستطیلی با هسته لانه‌زنبوری آگزتیک که در دیواره مخزن حاوی سیال جای‌گیری شده است، بررسی می‌شود. ورق ساندویچی از دو رویه آلومینیومی نازک و هسته لانه‌زنبوری آگزتیک از جنس آلومینیوم تشکیل شده است. برای همگن‌سازی هسته لانه‌زنبوری، علاوه بر مدل کلاسیک مالک–گیبسون، از یکی از جدیدترین مدل‌های موجود یعنی مدل تورنابن استفاده شده است تا رویکرد نوآورانه در این تحقیق می باشد.. به منظور مدل‌سازی رفتار دینامیکی ورق ساندویچی، سه مدل تحلیلی متفاوت ارائه و مزایا و محدودیت‌های هر یک از آن‌ها مورد بحث قرار گرفته است. برای استخراج معادلات حرکت از اصل همیلتون استفاده شده و از مدل تحلیلی لایه‌ای برای شبیه‌سازی ورق ساندویچی با شرط مرزی ناویر و در تماس با سیال بهره گرفته شده است. در اندرکنش سیال–سازه، سیال به‌صورت ایده‌آل غیرقابل تراکم، غیرچرخشی و غیرلزج در نظر گرفته شده است و اثر برهمکنش ورق و سیال در راستای عرضی ورق فرض و اثرات برشی نادیده گرفته می‌شود. روش‌های تحلیلی و روابط همگن‌سازی با استناد به پژوهش‌های پیشین و همچنین شبیه‌سازی المان محدود سه‌بعدی صحت‌سنجی شده‌اند. در پایان، اثر پارامترهایی مانند نسبت ابعاد مخزن به طول ورق، ارتفاع سیال از لبه پایین، موقعیت ورق در دیواره و هندسه سلول لانه‌زنبوری بر فرکانس‌های طبیعی مرطوب تحلیل و مقایسه شده‌اند.
کلیدواژه‌ها
موضوعات

عنوان مقاله English

Free Vibration Analysis of Auxetic-Core Sandwich Plate in Contact with Fluid by Layer Theory

نویسندگان English

Koorosh Khorshidi 1
Alireza Pakrouyan 2
Peyman Yousefy 2
Ali Pourmahdi 1
1 Department of Mechanical Engineering, Arak University, Arak, Iran
2 Department of Mechanical Engineering, Islamic Azad University-Branch Arak, Arak, Iran
چکیده English

In this article, the free vibration characteristics of a rectangular sandwich plate with a honeycomb core are investigated when the plate is positioned on the wall of a fluid-filled tank. The sandwich plate consists of two thin aluminum facesheets and an austenitic aluminum honeycomb core. To homogenize the honeycomb core, in addition to the classical Mlok–Gibson model, one of the latest available models, namely the Tournabene model, is employed to provide an innovative approach in this study. To model the dynamic behavior of the sandwich plate, three distinct analytical models are presented, and the advantages and limitations of each are discussed. The equations of motion are derived from Hamilton’s principle, and a layered analytical model is used to simulate the sandwich plate with Navier boundary conditions in contact with the fluid. In the fluid–structure interaction, the fluid is assumed to be ideal, incompressible, irrotational, and inviscid, and the coupling effect between the plate and the fluid in the transverse direction is considered, while shear effects are neglected. The analytical methods and homogenization relations are validated against prior research and three-dimensional finite-element simulations. Finally, the influence of parameters such as the dimention of the tank-to-plate length ratio, the fluid height from the bottom edge, the plate’s position on the wall, and the honeycomb-cell geometry on the submerged natural frequencies is analyzed and compared.

کلیدواژه‌ها English

Free Vibration, Sandwich Plate, Auxetic Core , Fluid&ndash
Structure Interaction
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