نوع مقاله : مقاله پژوهشی
نویسندگان
دانشگاه کاشان
چکیده
در این مقاله، ارتعاشات آزاد اتصال دو پوسته استوانه‌ای - مخروطی هیبریدی با در نظر گرفتن شرایط پیوستگی در اتصال دو پوسته بر اساس تئوری مرتبه اول تغییر شکل برشی پوسته مطالعه شده است. روابط اتصال دو پوسته با استفاده از اصل همیلتون استخراج شده و با استفاده از روش مربعات دیفرانسیلی تعمیم یافته برای شرایط مرزی مختلف حل شده است. همچنین پوسته‌های هیبریدی از لایه‌های کامپوزیت در هسته و دو لایه فلز آلومینیم در بالا و پایین تشکیل شده است که در این مقاله مواد کامپوزیت از جنس کربن – اپوکسی، شیشه – اپوکسی، آرامید - اپوکسی استفاده شده است. نتایج بدست آمده در این مقاله با روش مربعات دیفرانسیلی تعمیم یافته با مطالعات قبلی مقایسه شده که تطابق بسیار خوبی بین نتایج وجود داشته است. همچنین اثرات زاویه راس مخروط، شرایط مرزی، کسر حجمی، مود جانبی، مواد کامپوزیت، تغییرات طول به شعاع پوسته و تغییرات ضخامت به شعاع پوسته بر روی فرکانس طبیعی بررسی شده است. نتایج نشان داده است که با افزایش زاویه راس مخروط فرکانس طبیعی بدون بعد سازه اتصال دو پوسته استوانه‌ای – مخروطی افزایش یافته است. همچنین با افزایش مقدار مود جانبی، فرکانس طبیعی بدون بعد سازه اتصال دو پوسته هیبریدی در ابتدا کاهش و سپس افزایش یافته است.
کلیدواژه‌ها
موضوعات
عنوان مقاله [English]
Study of the Free Vibration of Joined Hybrid Cylindrical-Conical Shells with the Generalized Differential Quadrature Method
نویسندگان [English]
- Mohammad Meskini
- Ahmad Reza Ghasemi
چکیده [English]
In this research, the free vibration of the joint of two hybrid cylindrical-conical shells have been studied, considering the continuity conditions in the joint of the two shells, based on the first order shear deformation shell theory. The equations of the joint of two shells have been extracted using the Hamilton’s principle, and solved by applying the generalized differential quadrature method under different boundary conditions. Also, hybrid shells are composed of composite layers in the core and two layers of aluminum metal at the top and bottom of the shells. In this study, the Carbon- Epoxy, Glass- Epoxy and Aramid-Epoxy composite materials are used. The results obtained in this research are compared with previous studies, and there is a very good agreement between the results. Also, the effects of cone angle of the conical shell, boundary conditions, volume fraction, circumferential mode, composite materials, variation of length to shell radius and variation of thickness to shell radius, on the natural frequency have been investigated. The results have shown that, with the increase of the cone angle of the conical shell, the dimensionless natural frequency of the joint of two cylindrical- conical shells increased. Also, with increase of the circumferential mode, the non-dimensional frequency of the structure of two joined hybrid shells, first decreased and then increased.
کلیدواژه‌ها [English]
- Conical shell
- Hybrid
- Free vibration
- joint
- GDQM
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