A Linear Technique for Designing the Optimal Rotating Shapes

سال انتشار: 1393
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 977

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شناسه ملی سند علمی:

MHAA01_032

تاریخ نمایه سازی: 17 اسفند 1393

چکیده مقاله:

In this article, a linear and simple method was established for designing the optimal revolving objects with desired physical properties. By defining an artificial control related to the unknown generator curve, firstly, the problem was converted into an optimal control one. Then, considering a variational presentation and applying an embedding procedure, the problem was transferred into one whose unknown was an optimal Radon measure. Using two stages of approximation, we obtain the optimal control and hence the optimal generator rotating arc from the results of a finite linear programming. The accuracy and the applications of the new method were shown by some classical simulations and compared with the level set method in numerical examples.

نویسندگان

Alireza Fakharzadeh Jahromi

Dept. of Mathematics, Faculty of Basic Sciences,Shiraz University of Technology, Shiraz, Iran

Hajar Alimorad Dastkhezr

Shiraz University of Technology, Shiraz, Iran

Sedigheh Tuobaei

Shiraz University of Technology, Shiraz, Iran

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