Based on Lyapunov exponent criterion, the aircraft lateral-directional stability during critical flight cases is presented. A periodic motion or limit cycle oscillation isdisplayed. A candidate mechanism for the wing rock limit cycle is the inertia coupling between an unstable lateral-directional (Dutch roll) mode with stable longitudinal (short period) mode. The coupling mechanism is provided by the nonlinear interaction of motion related terms in the complete set equations of motion. To analyze the state variables of the system, the complete set of nonlinear equations of motion at different high angles of attack are solved. A novel analysis including the variation of roll angle as a function of angle of attack is proposed. Furthermore the variation of Lyapunov exponent parameter as function of time is introduced. The numerical result indicated that the system became lightly damped at high angle of attack with increasing the amplitude of aircraft state variables limit cycle. A good agreement between the numerical result and published work is obtained for the onset of limit cycle oscillation, almost at .
يعد موضوع التنافس بين القوى الكبرى من الموضوعات المستقبلية المهمة التي تؤشر لنا جانبا من صور العلاقات الدولية التي تتسم بالصراع والتعاون من ناحية، والتعاون والتنافس من ناحية أخرى، وبقدر تعلق الموضوع بالمنطقة العربية التي تعد إحدى أهم المناطق العالمية إثارة في مستوى التفاعلات بأنساقها المختلفة، كونها منطقة لازالت محكومة بعوامل غير مستقرة، تشكل نافذة فاعلة لتدخلات القوى الكبرى الساعية إلى إعادة تشكيل المد
... Show MoreAn experimental study is made here to investigate the discharge coefficient for contracted rectangular Sharp crested weirs. Three Models are used, each with different weir width to flume width ratios (0.333, 0.5, and 0.666). The experimental work is conducted in a standard flume with high-precision head and flow measuring devices. Results are used to find a dimensionless equation for the discharge coefficient variation with geometrical, flow, and fluid properties. These are the ratio of the total head to the weir height, the ratio of the contracted weir width to the flume width, the ratio of the total head to the contracted width, and Reynolds and Weber numbers. Results show that the relationship between the discharge co
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Estimation of the unknown parameters in 2-D sinusoidal signal model can be considered as important and difficult problem. Due to the difficulty to find estimate of all the parameters of this type of models at the same time, we propose sequential non-liner least squares method and sequential robust M method after their development through the use of sequential approach in the estimate suggested by Prasad et al to estimate unknown frequencies and amplitudes for the 2-D sinusoidal compounds but depending on Downhill Simplex Algorithm in solving non-linear equations for the purpose of obtaining non-linear parameters estimation which represents frequencies and then use of least squares formula to estimate
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This paper considers a new Double Integral transform called Double Sumudu-Elzaki transform DSET. The combining of the DSET with a semi-analytical method, namely the variational iteration method DSETVIM, to arrive numerical solution of nonlinear PDEs of Fractional Order derivatives. The proposed dual method property decreases the number of calculations required, so combining these two methods leads to calculating the solution's speed. The suggested technique is tested on four problems. The results demonstrated that solving these types of equations using the DSETVIM was more advantageous and efficient
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أثر استراتيجية التدريس البصري باستخدام الانـفوجرافيك في التحصيل والتفكير البصري لدى طلاب المرحلة المتوسطة فـي مادة الرياضيات
Education received the attention of the monarchy in Iraq, especially after the developments that the country witnessed after Iraq gained independence and joined the League of Nations in 1932 AD in all political, economic and cultural aspects. In this regard, due to its distinguished geographical location, where the atmosphere, the natural environment and the religious and political standing were available, which made it a center of attraction for most Iraqi families and political figures.
أختير مشروع مزرعة فدك في محافظة النجف االشرف المستثمر من العتبة العلوية المقدسة. يقع المشروع في الجهة الشمالية شرقا ة عرض ''54.38 '57 º31 الـــــــــــى ً الغربية لمحافظة النجف االشرف بين خطي طول ''18.78 '0 º 44 الى ''53.46 '7 º44 ودائر ''17.53 '2 º32 شماال بمساحة اجمالية للمشروع تقدر بـــ 35493 هكتار لتقييم بعض الصفات الكيميائية للترب الصحراوية في تحديد دليل نوعيتها وصحتها لمشروع مزرعة فدك/ محافظة النجف االشرف، اذ تم اخذ 40 عينة سطحية
... Show Moreيهدف هذا البحث الى تقويم الأنشطة والأسئلة التقويمية المتضمنة في محتوى كتاب الحاسوب للصف الخامس الإعدادي وفق التفكير الإبداعي ومقترحات تطويرها، وذلك بالإجابة عن السؤال الآتي: ما نسبة توافر مهارات التفكير الإبداعي في الأنشطة والأسئلة التقويمية المتضمنة في محتوى كتاب الحاسوب المقرر لطلبة الصف الخامس الإعدادي (الاحيائي والتطبيقي، والادبي) من وزارة التربية العراقية/ المديرية العامة للمناهج في العام الدراسي (2
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