This research examines the use of vibratory treatments to reduce residual stresses in small welded parts. In this experimental investigation, a post weld vibration treatment was applied to T- A106 steel pipe fitting specimens to study the effect of the treatment on the residual stress and the hardness of the material. The vibratory stress relief treatment was carried out at different vibration frequency. The results have demonstrated that post-weld vibratory stress relief of small size fittings is possible and residual stress may be relieved, and the treatment may be an alternative method for heat treatment especially when unchange in dimensions and material stability are required.

The necessary optimality conditions with Lagrange multipliers  are studied and derived for a new class that includes the system of Caputo–Katugampola fractional derivatives to the optimal control problems with considering the end time free. The formula for the integral by parts has been proven for the left Caputo–Katugampola fractional derivative that contributes to the finding and deriving the necessary optimality conditions. Also, three special cases are obtained, including the study of the necessary optimality conditions when both the final time  and the final state  are fixed. According to convexity assumptions prove that necessary optimality conditions are sufficient optimality conditions.

المستخلص
، ( اب ( ١٩٢٢ ô یدتھ ارض الیب ô ي قص ô وت ،ف ô زي الی ô اعر الانجلی ô یھدف ھذا البحث الى بیان مدى تأكید الش
ن ô ة م ô ان والطبیع ô ین الانس ô ت ب ô ا ربط ô ي لطالم ô ة ،الت ô على الحاجة الملحة للانسان الحدیث لاسترجاع الصلة الحمیم
ة ô ي بمثاب ô ة ھ ô ان الثلاث ô ذه الارك ô ین ھ ô ة ب ô ة الموثق ô ذه العلاق ô رى .ان ھ ô ة اخ ô ن جھ ô جھة ، وبین الانسان والاسطورة م
ات ô ي الثقاف ô ة ف ô وس الدینی ô وبة والطق ô اطیر الخ

تحددت مشكلة البحث في كبقية أظهار الاختلاف النسبي لما يحتاجه لاعب كرة الطائرة ومعرفة مستوى القدرات العقلية، إذ تعد مؤشرا يستفاد منه المدربين بتشخيص نقاط القوة والضعف عند وضع مفردات الوحدات التدريبية، محاولة منه بالنهوض بواقع الاداء الفردي والجماعي والذي سينعكس حتماً بشكل إيجابي على مستوى الانجاز لدى الفريق،ان عملية بناء اللاعبين والفريق الجيد الذي ينافس ولديه القدرة لتحقيق إنجازات متواصلة ويكون بمستوى مس

Objectives: This study aims to evaluate the association between polymorphisms in the promoter region of the tumor necrosis factor-alpha (TNF-α) gene at locations -308G/A, -857C/T, and -863C/A with the tendency of being non-responder to etanercept.

Patients and methods: Between October 2020 and August 2021, a total of 80 patients (10 males, 70 females; mean age: 50 years; range, 30 to 72 years) with rheumatoid arthritis (RA) receiving etanercept for at least six months were included. The patients were divided into two groups responders and non-responders, based on their response after six months of continuous treatment. Following polymerase chain reac

The analysis, behavior of two-phase flow incompressible fluid in T-juction is done by using "A Computational Fluid Dynamic (CFD) model" that application division of different in industries. The level set method was based in “Finite Element method”. In our search the behavior of two phase flow (oil and water) was studed. The two-phase flow is taken to simulate by using comsol software 4.3. The multivariable was studying such as velocity distribution, share rate, pressure and the fraction of volume at various times.  The velocity was employed at the inlet (0.2633, 0.1316, 0.0547 and 0.0283 m/s) for water and (0.1316 m/s) for oil, over and above the pressure set at outlet as a boundary condition. It was observed through the program

This paper focuses on developing a self-starting numerical approach that can be used for direct integration of higher-order initial value problems of Ordinary Differential Equations. The method is derived from power series approximation with the resulting equations discretized at the selected grid and off-grid points. The method is applied in a block-by-block approach as a numerical integrator of higher-order initial value problems. The basic properties of the block method are investigated to authenticate its performance and then implemented with some tested experiments to validate the accuracy and convergence of the method.