تحلیل ارتعاشات اجباری ورق ضخیم مستطیلی هدفمند بر اساس تئوری مرتبه‌ بالاتر تغییر شکل برشی و قائم

نویسندگان

1 دانشکده مهندسی مکانیک دانشگاه شهید باهنر کرمان

2 دانشکده مهندسی مکانیک دانشگاه تبریز

چکیده

در این مقاله، تحلیل ارتعاشات اجباری حالت ماندگار ورق­های مستطیلی ساخته­شده از مواد هدفمند همسانگرد و همسانگرد عرضی بررسی شده است. بر پایه تئوری جدید مرتبه­ بالاتر تغییر شکل برشی و قائم که توسط باترا و ویدولی ارائه شده است، معادلات حاکم با استفاده از اصل کار مجازی به­دست می­آیند. در این تئوری هر دو اثر تغییر شکل برشی و قائم در راستای ضخامت لحاظ می­شود. همچنین، خیز ورق در امتداد ضخامت ثابت درنظر گرفته نمی­شود. برای بیان خواص مکانیکی مواد هدفمند در راستای ضخامت از تابع توانی، استفاده شده است. نتایج عددی براساس تئوری مرتبه اول تا پنجم تغییر شکل برشی و قائم در قالب جدول­ها و نمودارها بیان شده­اند. اثر خواص مواد هدفمند و پارامترهای هندسی ورق روی خیز و تنش­ها مورد بررسی قرار گرفته است. این بررسی نشان می‎دهد که این تئوری نه تنها برای ورق­های نازک و نیمه ­ضخیم، بلکه برای ورق­های ضخیم نیز نتایج بسیار دقیقی می­دهد.

کلیدواژه‌ها

مراجع

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سابقه مقاله

  • تاریخ دریافت: 02 اردیبهشت 1396
  • تاریخ بازنگری: 05 اردیبهشت 1403
  • تاریخ پذیرش: 28 شهریور 1397
  • تاریخ انتشار: 01 بهمن 1396

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