نوع مقاله : مقاله پژوهشی
نویسندگان
1 دانشجوی کارشناس یارشد، مهندسی مکانیک، دانشگاه اراک ، اراک.
2 دانشیار، مهندسی مکانیک، دانشگاه اراک، اراک.
چکیده
در این مقاله، ارتعاشات آزاد پانل دو انحنایی سه‌لایه با هستة لانه‌زنبوری آگزتیک و صفحات جانبی کامپوزیتی تقویت شده با توزیع‌های مختلف نانولوله‌های کربنی مورد بررسی قرار گرفته است. معادلات حاکم بر مسئله بر اساس تئوری تغییر شکل برشی جدید مرتبه پنجم استخراج شده‌اند. پانل ساندویچی سه لایه شامل هسته با ساختار لانه‌زنبوری و سلول درون‌رو با ضریب پواسون منفی از جنس آلومینیوم و رویه‌های فوقانی و تحتانی کامپوزیتی با دو حالت توزیع یکنواخت (UD) و مدرج تابعی (FG) نانولولة کربنی در شرایط مرزی ساده بررسی شده است. خواص مکانیکی لایه‌های کامپوزیتی با استفاده از قانون اختلاط بهبودیافته برای نانولوله کربنی تک جداره محاسبه شده‌اند. معادلات حرکت با استفاده از اصل همیلتون استخراج گردیده و فرکانس‌های طبیعی سازه با استفاده از روش باقیمانده وزنی گالرکین به دست آمده‌اند. تاثیر پارامترهای سلول آگزتیک شامل زاویه سلول، نسبت ضخامت لبه‌ها و نسبت طول لبه عمودی به لبه مورب و همچنین نسبت شعاع انحنا به طول پانل، نسبت ضخامت هسته به ضخامت کل پانل و در نهایت کسر حجمی نانولوله‌های کربنی مورد بحث قرار گرفته است. در انتها نیز ارتعاش آزاد برای دیگر شکل‌های پانل‌های ساندویچی از جمله پانل‌های سهمی‌گون هذلولوی ساندویچی، پانل‌های سیلندری ساندویچی و ورق‌های تخت ساندویچی بدست آمدند و مقایسه شدند. نتایج حاصل شده نشان دادند هسته با ضریب پواسن منفی و همچنین توزیع مدرج تابعی (FG) نانولولة کربنی در رویه های کامپوزیتی فوقانی و تحتانی باعث کاهش فرکانس طبیعی پانل ساندویچی مورد مطالعه شدند.
کلیدواژه‌ها
عنوان مقاله [English]
Free vibration analysis of rectangular doubly curved auxetic-core sandwich panels integrated with CNT-reinforced composite layers using Galerkin method
نویسندگان [English]
- Yasin Shabani 1
- Korosh Khorshidi 2
1 Department of Mechanical Engineering, Arak University, Arak, Iran.
2 Department of Mechanical Engineering, Arak University, Arak, Iran.
چکیده [English]
In this paper, the free vibrations of a three-layer doubly curved panel with honeycomb auxetic core and reinforced composite face sheets by carbon nanotubes with different distributions are investigated. The governing equations of the structure are derived based on the new fifth-order shear deformation theory. The sandwich panel consists of three layers, aluminum core layer with cell inclined angle which creates negative Poisson's ratio in the honeycomb structure, composites skins with a uniform distribution (UD) as well as functionally graded (FG) distributions of carbon nanotubes (CNTs) in the simply supported boundary condition. Effective material properties of single-walled (SW) carbon nanotube reinforced composite skins are achieved by applying the extended rule of mixtures. The equations of motion are obtained using the Hamilton principle and solved using the Galerkin residual weight method. The effect of auxetic cell parameters including cell angle, cell aspect ratio, rib thickness ratio as well as distribution and content of carbon nanotubes, length to thickness ratio, and core thickness to total panel thickness ratio are examined and discussed. At the end, free vibration was obtained and compared for other shapes of sandwich panels such as hyperbolic parabolic sandwich panels, cylindrical sandwich panels and sandwich plates.The results showed that the core with negative Poisson's ratio as well as the functionally graded distribution (FG) of carbon nanotubes in the upper and lower composite surfaces reduced the natural frequency of the studied sandwich panel.
کلیدواژه‌ها [English]
- Doubly curved panels
- Carbon nanotubes
- Auxetic metamaterials
- Negative Poisson's ratio
- Galerkin method
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