Free vibration analysis of circular sandwich plates with clamped FG face sheets
محورهای موضوعی : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیک
یونس محمدی
1
,
کیوان حسینی صفری
2
,
محسن رحمانی
3
1 - استادیار، دانشکده صنایع و مکانیک، دانشگاه آزاد اسلامی، قزوین، ایران.
2 - استادیار، دانشکده صنایع و مکانیک، دانشگاه آزاد اسلامی، قزوین، ایران.
3 - دانشجوی دکتری، دانشکده صنایع و مکانیک، دانشگاه آزاد اسلامی، قزوین، ایران.
کلید واژه: Free vibration, Functionally graded material, Circular Sandwich Plate, Temperature Dependent Properties, Clamped Support,
چکیده مقاله :
Free vibration of sandwich plates with temperature dependent functionally graded (FG) face sheets in various thermal environments is investigated. The material properties of FG face sheets are assumed to be temperature-dependent and vary continuously through the thickness according to a power-law distribution in terms of the volume fractions of the constituents. Also, the material properties of the core are assumed to be temperature dependent. The governing equations of motion in polar system and in free natural vibration are derived using Hamilton’s principle and Galerkin method is used to solve the equations and obtain the natural frequency. In-plane stresses of the core that usually are ignored in the vibration characteristics of the sandwich structures are considered in this formulation. The results obtained by Galerkin method for symmetric circular sandwich plate with fixed support is compared with finite element method that obtained by ABAQUS and good agreement is found. The results show that varying the power-law index and temperature have important effects on natural frequency.
در این پژوهش ارتعاشات آزاد ورق ساندویچی مدور گیردار با رویه‌هایی از مواد با تابع هدفمند وابسته به دما در محیط‌های حرارتی مختلف بررسی شده است. خواص مواد در رویه‌های هدفمند به صورت تابعی از دما در نظر گرفته شده و به طور پیوسته در امتداد ضخامت، با توزیع توانی بر حسب کسر حجمی اجزای تشکیل دهنده، تغییر می‌کنند. همچنین خواص ماده در هسته نیز وابسته به دما در نظر گرفته شده است. معادلات حاکم بر حرکت در ارتعاشات آزاد در دستگاه مختصات قطبی با استفاده از اصل همیلتون به دست آمده و از روش گلرکین برای حل معادلات و به دست آوردن فرکانس طبیعی استفاده شده است. تنش‌های صفحه‌ای هسته که معمولا در مشخصه ارتعاشی سازه‌های ساندویچی نادیده گرفته می‌شوند در اینجا در نظر گرفته شده است. نتایج به دست آمده از حل گلرکین برای ورق ساندویچی دایره‌ای متقارن با تکیه‌گاه گیردار با نتایج المان محدود که توسط نرم افزار ABAQUS به دست آمده است، مقایسه شده که نتایج قابل قبولی را ارائه می‌دهد. نتایج نشان می‌دهد که تغییرات دما و تغییرات توان تابع توانی اثر مهمی بر تغییرات فرکانس دارند.
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