مدلسازی استاتیکی غیرخطی ورق هدفمند تابعی نسبتاً ضخیم با استفاده از روش آزادسازی دینامیکی
Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineeringمحمدجواد محمودی 1 , وحید محلوجی 2
1 - استادیار، دانشکده مهندسی مکانیک و انرژی، دانشگاه شهید بهشتی، تهران
2 - دانشجوی دکتری، دانشکده مهندسی مکانیک و انرژی، دانشگاه شهید بهشتی، تهران
Keywords: روش آزادسازی دینامیکی, ورق هدفمند تابعی, تئوری مرتبه اول برشی میندلین, تغییر شکل بزرگ الاستیک,
Abstract :
در این مقاله تحلیل استاتیکی غیرخطی ورق نسبتاً ضخیم ساخته شده از مواد هدفمند تابعی با استفاده از روش آزادسازی دینامیکی صورت گرفته است. این امر به کمک تئوری مرتبه اول برشی میندلین به منظور ضخیم در نظر گرفتن ورق انجام شده است. جهت تحلیل رفتار غیرخطی هندسی معادلات گسسته شده استخراج شده است. شرایط بارگذاری و شرایط مرزی ورق بهترتیب بهصورت بارگستره عرضی یکنواخت و تکیهگاه ساده در چهار لبه ورق ضخیم در نظرگرفته شده است. جهت عمومیت بخشیدن به نتایج بهدستآمده، این معادلات به صورت بدون بعد با اعمال روش آزادسازی دینامیکی بر مبنای تفاضلات محدود مرکزی حل شدهاند. اثر پارامترهای مسأله نظیر ثابت توانی ماده هدفمند تابعی و نسبت ضلع به ضخامت ورق بر نتایج تحلیل مورد بررسی قرار گرفته است. با توجه به نتایج بهدست آمده، لزوم درنظر گرفتن رفتار غیرخطی هندسی و استفاده از تئوری ای که اثرات ضخامت ورق روی پاسخ خمش ورق را درنظر بگیرد و همچنین در نهایت لزوم استفاده از روش حل آزادسازی دینامیکی با وجود جملات غیرخطی ناشی از تغییرشکل زیاد ورق ضخیمهدفمند تابعی بحث شده است.
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