نمذجة بعض المسائل الرياضية ومحاكاتها على الحاسوب (الحركة اللولبية للطائرة)
Abstract
ندرس في هذا البحث مسألة طيران الطائرة وتوجيهها في مسار لولبي موزون, و سيتم ذلك عبر مجموعة من الخطوات تتلخص بما يلي:
- تحديد النموذج الرياضي من خلال البحث عن المقادير التي تميز الحركة اللولبية التي تقوم بها الطائرة.
- دراسة النموذج الرياضي بالحسابات العددية .
و قد توصلنا إلى نتائج هامة على الصعيدين النظري و العملي تتلخص بما يلي:
- كتابة برنامج باستخدام لغة البرمجة Matlab على الطائرة Lear jet 23 وهي من النمط Business Jet و الشكل T-Tail .
- حل المسألة من أجل ارتفاع محدد بتطبيق البرنامج المكتوب.
In this thesis, we study the problem of airplane flying process and its guidance in
balanced spiral course. This will be done through a batch of steps summarized as follows:
1- Determining the mathematical model through the search for parameters which identify the spiral motion of a plane.
2- Study of the mathematical model by the means of numerical calculation.
We have thus reached important conclusions from the practical and theoretical point of views namely:
1- Programme writing assisted by programming language Matlab on Lear jet 23 which is a business jet model and a T-Tail.
2- Solve the problem for a specified height by applying the writing programme.
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