رفتار ورق‌های چهارگوش تحت بار دفعی: تحلیل ابعادی

نوع مقاله: گرایش رفتار مکانیکی مواد و سازه

نویسندگان

1 استادیار گروه مهندسی مکانیک، دانشگاه ایوانکی

2 گروه مهندسی مکانیک، دانشگاه ایوانکی

3 دانشیار، دانشگاه گیلان

چکیده

در این مقاله، از یک روش تحلیل بی‌بعد جهت ارائه دو رابطه تجربی بر اساس اعداد بی‌بعد به‌منظور پیش‌بینی نسبت بیشترین خیز دائمی ورق‌های تک‌لایه چهارگوش به ضخامت آن تحت بارگذاری دینامیکی با توزیع یکنواخت و محلی استفاده شده است. در اعداد بی‌بعد پیشنهادی، اثر هندسه ورق، شدت بار اعمالی، خواص مکانیکی ورق، حساسیت ماده به نرخ کرنش و شعاع بارگذاری در نظر گرفته شده است. جهت صحت‌سنجی مدل‌های تجربی از هشت سری آزمایش و 267 داده موجود در ادبیات تحقیق در طول چهل سال گذشته استفاده شده است. نتایج حاصل از مدل‌سازی نشان داد که تطابق خوبی بین نتایج پیش‌بینی مدل و مقادیر تجربی وجود دارد به‌طوری‌که درمجموع 117 داده تجربی برای بارگذاری یکنواخت، به ترتیب 94% (110 داده) و 98% (115 داده) از کل نقاط تجربی در محدوده خطای کمتر از 10% و 20% قرار دارند. همچنین، درمجموع 150 داده تجربی موجود برای بارگذاری محلی، به ترتیب 83% (124 داده) و 97% (146 داده) از کل نقاط تجربی در این دو محدوده قرار گرفتند. نتایج همچنین نشان داد که متغیر در نظر گرفتن کمیت‌های ماده با ضخامت در معادله کوپر-سیموندز موجب بهبود دقت پیش‌بینی مدل‌های تجربی می‌گردد به‌طوری‌که تنها 6% و 12% از داده‌های برای دو بارگذاری یکنواخت و محلی در محدوده 10% خطا قرار نمی‌گیرند.

کلیدواژه‌ها


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