Free and Forced Vibration Analysis of Composite Laminated Conical Shells under Different Boundary Conditions Via Galerkin Method

محورهای موضوعی : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیک

آیدین نصیری راد ¹ ( کارشناس ارشد، دانشکده مکانیک، دانشگاه آزاد اسلامی واحد تاکستان )
رضا انصاری ² ( دانشیار ، دانشکده فنی، دانشگاه گیلان )
حسام روحی ³ ( دانشجوی دکتری، دانشکده فنی، دانشگاه گیلان )

تاریخ دریافت : 1394/07/05 تاریخ پذیرش : 1394/07/05 تاریخ انتشار : 1392/04/01

کلید واژه: Free vibration, Forced vibration, Galerkin Method, Conical shell, Composite laminated,

چکیده مقاله :

In this paper, natural frequency and response of forced vibration of composite laminated conical shells under different boundary conditions are investigated. To this end, equations of Donnell's thin shell theory are used as governing equations. The analytical Galerkin method together with beam mode shapes as weighting functions is employed to solve the problem. Due to importance of boundary conditions upon the mechanical behavior of conical shells, the analysis is carried out for all possible boundary conditions. The response of forced vibration is calculated via the modal participation factor method. Numerical comparisons of free vibration with the results in the open literature are made to validate the present methodology.

چکیده انگلیسی:

در این مقاله ، فرکانس طبیعی و پاسخ ارتعاش اجباری پوسته‌های مخروطی کامپوزیتی چند لایه به ازای شرایط مرزی گوناگون بررسی شده اند. معادلات پوسته نازک دانل به عنوان معادلات حاکم در نظر گرفته شده ،  از روش تحلیلی گلرکین برای حل معادلات حرکت در مسئله ارتعاش آزاد استفاده شده و توابع شکل مودهای تیر به عنوان توابع وزن روش گلرکین بکار گرفته شده اند که با این انتخاب می‌توان شرایط مرزی گوناگون پوسته را در حل معادلات در نظر گرفت. به منظور یافتن پاسخ ارتعاش اجباری نیز روش تعیین ضرایب مشارکت مودال بکار گرفته شده است. نتایج عددی بدست آمده نشان می‌دهد که بیشترین مقادیر پارامتر فرکانسی در شرط مرزی FC و کمترین آن در شرط مرزی CC و FS اتفاق می‌افتد. افزایش تعداد لایه‌ها و افزایش نسبت شعاع به طول منجر به افزایش پارامتر فرکانسی و افزایش نسبت ارتوتروپی منجر به کاهش پارامتر فرکانسی می‌شود. نتایج بدست آمده در تحلیل ارتعاش آزاد با نتایج مقاله‌های موجود مقایسه شده و صحت آنها مورد اطمینان می‌باشند

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