مهندسی مکانیک مدرس

مهندسی مکانیک مدرس

اثر بار دینامیکی شدید روی تغییر شکل پلاستیک ورق‌های چهارگوش: مطالعه تجربی، تحلیل رگرسیونی و بهینه‌سازی چندهدفه

نوع مقاله : پژوهشی اصیل

نویسندگان
1 گروه مهندسی مکانیک، دانشکده فنی و مهندسی برق، مکانیک و کامپیوتر، دانشگاه ایوان‌کی، ایوان‌کی، ایران
2 گروه مهندسی مکانیک، دانشکده مهندسی مکانیک، دانشگاه گیلان، رشت، ایران
چکیده
در این مقاله، به بررسی تجربی و تحلیل رگرسیونی تغییر شکل پلاستیک بزرگ ورق‌های مربعی و مستطیلی تحت بار دینامیکی شدید با توزیع یکنواخت و محلی پرداخته ‌شده است. در بخش تجربی، پنج آزمایش روی ورق‌های فولادی در ضخامت‌های مختلف انجام شد. جهت انجام تحلیل رگرسیونی و بهینه‌سازی چندهدفه، نرم‌افزار طراح آزمایش به همراه روش رویه پاسخ به‌کار گرفته شد. سپس، اثر پارامترهایی از قبیل ضخامت ورق، شدت بار وارده، خواص مکانیکی ورق، نوع بارگذاری، شعاع بارگذاری و نسبت عرض به طول روی خیز ورق‌های چهارگوش به‌صورت همزمان بررسی‌ شده است. دو تحلیل جداگانه براساس تحلیل واریانس و آماری برای هر کدام از بارگذاری‌های یکنواخت و محلی انجام شد. مقادیر به‌دست‌آمده برای ضریب تعیین دو نوع بارگذاری یکنواخت و محلی نشان داد که مدل‌ها، پیش‌بینی خوبی از نتایج تجربی دارند و می‌توانند جهت ارزیابی تغییر شکل پلاستیک ورق مورد استفاده قرار گیرند. در ادامه، شرایط بهینه برای هر یک از پارامترهای موثر شامل تنش تسلیم و نسبت عرض به طول ورق با توجه به شرط درنظرگرفتن کمترین مقادیر ضخامت و خیز مرکزی ورق برای هر دو نوع بارگذاری تعیین شد. نتایج به‌دست‌آمده برای بهینه‌سازی چندهدفه با نتایج مطالعات تجربی تحقیق حاضر مقایسه شد.
کلیدواژه‌ها

موضوعات


عنوان مقاله English

The Effect of Extreme Dynamic Loading on Plastic Deformation of Quadrangular Plates: Experimental Investigation, Regression Analysis, and Multi-Objective Optimization

نویسندگان English

T. Mirzababaie mostofi 1
M. Sayah Badkhor 1
H. Babaei 2
1 Mechanical Engineering Department, Electrical, Computer and Mechanical Engineering Faculty, University of Eyvanekey, Eyvanekey, Iran
2 Mechanical Engineering Department, Mechanical Engineering Faculty, University of Guilan, Rasht, Iran
چکیده English

In present study, the experimental investigation and regression analysis of the large plastic deformation of square and rectangular plates subjected to extreme dynamic loading with uniform and localized distribution were discussed. In the experimental section, 5 experiments were conducted on mild steel plates with different thicknesses. To perform the regression analysis and multi-objective optimization, Design-Expert software in conjunction with the response surface methodology were exerted. Subsequently, the effect of parameters such as the thickness of the plate, the impulse of applied load, the mechanical properties of the plate, the loading radius, and the ratio of width to length of the plate on the maximum deflection of quadrangular plates was simultaneously investigated. Two separate analyses based on statistical analysis and ANOVA were performed for each type of uniform and localized loading. The values obtained for the coefficient of determination (R2) of two types of uniform and localized loading showed that the models have a good prediction ability of the experimental results and it can be used to evaluate the plastic deformation of the quadrangular plates. Subsequently, the optimal conditions for each effective parameter including yield stress and width to length ratio were determined with respect to considering the minimum values for central deflection and plate thickness simultaneously. The multi-objective optimization results were compared to the experimental results of the present study.

کلیدواژه‌ها English

experimental test
Quadrangular Plate
Uniform Loading
Localized Loading
multi-objective optimization
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