❞ كتاب LAMINATION SCHEME AND BOUNDARY CONDITIONS EFFECTS ON THE FREE VIBRATION OF LAMINATED COMPOSITE BEAMS ❝  ⏤ أسامة محمد المرضي سليمان

❞ كتاب LAMINATION SCHEME AND BOUNDARY CONDITIONS EFFECTS ON THE FREE VIBRATION OF LAMINATED COMPOSITE BEAMS ❝ ⏤ أسامة محمد المرضي سليمان

Osama Elmardi

تأليف : أسامة محمد المرضي سليمان

ABSTRACT:

: In this study, the effects of both lamination scheme and boundary conditions on the natural frequencies of free vibration of laminated composite beams were investigated. The problem is analyzed and solved using the energy approach which is formulated by a finite element model. Lamination schemes for symmetric and non-symmetric laminated beams were studied. Six boundary conditions are considered; clamped _free (CF), hinged _hinged (HH), clamped _clamped (CC), hinged _clamped (HC), hinged _free (HF), free _free (FF). Each beam has either movable ends or immovable ends. It is found that both symmetrically and anti-symmetrically laminated beams of similar size and end conditions have equal natural frequencies which, generally, decrease as the angle of orientation increases. Also, It is found that the more constrained beams have the higher values of natural frequencies of transverse vibration. However, the free-free and hinged-free beams are found to have the highest frequencies of transverse vibration amongst all beams although they look less constrained. This behavior is due to the fact that the first mode of the two beams is equal zero (rigid body motion), and replaced by the second mode to be the fundamental mode. The values of the natural frequencies of longitudinal modes are found to be the same for all beams with movable ends since they are generated by longitudinal movements only. But for immovable ends, the clamped-free and hinged-free beams have equal frequencies in longitudinal vibration, and those of the other beams are also the same.
أسامة محمد المرضي سليمان - أسامة محمد المرضي سليمان ، مواليد مدينة عطبرة، ولاية نهر النيل-السودان في العام 1966
حاصل علي بكالوريوس الشرف في الهندسة الميكانيكية من كلية الهندسة بجامعة السودان للعلوم والتكنولوجيا في العام 1998.
ماجستير في ميكانيكا المواد المركبة من جامعة وادي النيل عطبرة في العام 2003. ❰ له مجموعة من المؤلفات أبرزها ❞ الإقتصاد الهندسي ❝ ❞ إنتقال حرارة وكتلة أمثلة محلولة ومسائل إضافية ❝ ❞ تحليل الجملونات (Analysis of Trusses) ❝ ❞ التوربينات الغازية Gas Turbines ❝ ❞ ديناميكا حرارية ❝ ❞ مجموعة من أشهر الأمثال العربية والإنجليزيةCollection of Famous English and Arabic Proverbs ❝ ❞ آلات هيدروليكية المضخات و التوربينات النصف قطرية و المحورية السريان ❝ ❞ أجهزة قياس Measurments INSTRUMENTATION ❝ ❞ تصميم الأنظمة الميكانيكية ❝ الناشرين : ❞ مكتبة الكتب ❝ ❞ جميع الحقوق محفوظة للمؤلف ❝ ❞ جامعة وادى النيل ❝ ❱
من الهندسة الميكانيكية - مكتبة كتب الهندسة و التكنولوجيا.

نبذة عن الكتاب:
LAMINATION SCHEME AND BOUNDARY CONDITIONS EFFECTS ON THE FREE VIBRATION OF LAMINATED COMPOSITE BEAMS

Osama Elmardi

تأليف : أسامة محمد المرضي سليمان

ABSTRACT:

: In this study, the effects of both lamination scheme and boundary conditions on the natural frequencies of free vibration of laminated composite beams were investigated. The problem is analyzed and solved using the energy approach which is formulated by a finite element model. Lamination schemes for symmetric and non-symmetric laminated beams were studied. Six boundary conditions are considered; clamped _free (CF), hinged _hinged (HH), clamped _clamped (CC), hinged _clamped (HC), hinged _free (HF), free _free (FF). Each beam has either movable ends or immovable ends. It is found that both symmetrically and anti-symmetrically laminated beams of similar size and end conditions have equal natural frequencies which, generally, decrease as the angle of orientation increases. Also, It is found that the more constrained beams have the higher values of natural frequencies of transverse vibration. However, the free-free and hinged-free beams are found to have the highest frequencies of transverse vibration amongst all beams although they look less constrained. This behavior is due to the fact that the first mode of the two beams is equal zero (rigid body motion), and replaced by the second mode to be the fundamental mode. The values of the natural frequencies of longitudinal modes are found to be the same for all beams with movable ends since they are generated by longitudinal movements only. But for immovable ends, the clamped-free and hinged-free beams have equal frequencies in longitudinal vibration, and those of the other beams are also the same.

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المزيد..

تعليقات القرّاء:

Osama Elmardi

تأليف  : أسامة محمد المرضي سليمان 


: In this study, the effects of both lamination scheme and boundary conditions on the natural frequencies of free vibration of laminated composite beams were investigated. The problem is analyzed and solved using the energy approach which is formulated by a finite element model. Lamination schemes for symmetric and non-symmetric laminated beams were studied. Six boundary conditions are considered; clamped _free (CF), hinged _hinged (HH), clamped _clamped (CC), hinged _clamped (HC), hinged _free (HF), free _free (FF). Each beam has either movable ends or immovable ends. It is found that both symmetrically and anti-symmetrically laminated beams of similar size and end conditions have equal natural frequencies which, generally, decrease as the angle of orientation increases. Also, It is found that the more constrained beams have the higher values of natural frequencies of transverse vibration. However, the free-free and hinged-free beams are found to have the highest frequencies of transverse vibration amongst all beams although they look less constrained. This behavior is due to the fact that the first mode of the two beams is equal zero (rigid body motion), and replaced by the second mode to be the fundamental mode. The values of the natural frequencies of longitudinal modes are found to be the same for all beams with movable ends since they are generated by longitudinal movements only. But for immovable ends, the clamped-free and hinged-free beams have equal frequencies in longitudinal vibration, and those of the other beams are also the same.



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المؤلف:
أسامة محمد المرضي سليمان - Osama Mohammed Al Mardi Suleiman

كتب أسامة محمد المرضي سليمان أسامة محمد المرضي سليمان ، مواليد مدينة عطبرة، ولاية نهر النيل-السودان في العام 1966 حاصل علي بكالوريوس الشرف في الهندسة الميكانيكية من كلية الهندسة بجامعة السودان للعلوم والتكنولوجيا في العام 1998. ماجستير في ميكانيكا المواد المركبة من جامعة وادي النيل عطبرة في العام 2003. ❰ له مجموعة من المؤلفات أبرزها ❞ الإقتصاد الهندسي ❝ ❞ إنتقال حرارة وكتلة أمثلة محلولة ومسائل إضافية ❝ ❞ تحليل الجملونات (Analysis of Trusses) ❝ ❞ التوربينات الغازية Gas Turbines ❝ ❞ ديناميكا حرارية ❝ ❞ مجموعة من أشهر الأمثال العربية والإنجليزيةCollection of Famous English and Arabic Proverbs ❝ ❞ آلات هيدروليكية المضخات و التوربينات النصف قطرية و المحورية السريان ❝ ❞ أجهزة قياس Measurments INSTRUMENTATION ❝ ❞ تصميم الأنظمة الميكانيكية ❝ الناشرين : ❞ مكتبة الكتب ❝ ❞ جميع الحقوق محفوظة للمؤلف ❝ ❞ جامعة وادى النيل ❝ ❱. المزيد..

كتب أسامة محمد المرضي سليمان