Abstract




 
   

IJE TRANSACTIONS A: Basics Vol. 26, No. 10 (October 2013) 1225-1234   

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  MULTI-OBJECTIVE OPTIMIZATION OF A PROJECTILE TIP FOR NORMAL PENETRATION
 
A. Khalkhali and S. Roshanfekr
 
( Received: January 30, 2013 – Accepted: April 18, 2013 )
 
 

Abstract    The main purpose of the present work is multi-objective shape optimization of a projectile tip for impacting and normal penetrating. Velocity drop, weight and inner volume of projectile have been considered as three conflicting objective functions. For this purpose, at the first step, finite element modeling was done using ABAQUS/Explicit and projectile penetration was examined in different geometric dimensions. Hammersley sequence sampling was employed for designing computer experiments. In the next step, results of the FEM were employed as raw data for MLF-type neural network training to achieve a mathematical model which is able to describe velocity drop behavior. Projectile weight and Inner volume were also expressed in explicit mathematical form using geometric relations. Obtained mathematical models were used as conflicting objective functions for multi-objective optimization of projectile tip using modified NSGA-II. Finally, it is shown that some interesting and important relationships as useful optimal design principles involved in the performance of projectile impact have been discovered by Pareto based multi-objective optimization.

 

Keywords    Projectile, Impact, Finite element method, Neural Networks, Multi-objective optimization , NSGA-II.

 

چکیده    هدف اصلی در این مقاله بهینه سازی شکل نوک یک پرتابه در برخورد و نفوذ قائم با در نظر گرفتن افت سرعت، وزن و حجم‌ داخلی پرتابه به عنوان سه تابع هدف متضاد است. برای این منظور، ابتدا با استفاده از نرم فزار ABAQUS/Explicit مدل‌سازی اجزای محدود انجام و با نظر گرفتن ابعاد هندسی مختلف، نفوذ پرتابه بررسی شد. آزمایش‌های کامپیوتری با استفاده از دنباله‌ی همرسلی طرحی شد. در قدم بعدی از مجموعه‌ی نتایج مدل‌سازی اجزای محدود، به عنوان داده‌های خام برای آموزش و آزمایش شبکه‌های عصبی فیدفوروارد به منظور دست‌یابی به یک مدل ریاضی برای بیان افت سرعت استفاده شد. برای وزن و حجم پرتابه نیز روایط صریح ریاضی توسعه داده شد. از روابط به دست آمده برای بهینه‌سازی چندهدفی با استفاده از الگوریتم ژنتیک استفاده شد. نتایج به دست آمده روابط سودمندی را در طراحی بهینه نمایش می‌دهد که تنها با به کارگیری بهینه‌سازی چندهدفی مدل ریاضی استخراج شده از نتایج حل اجزای محدود قابل تحصیل است.

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