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Non-linear dynamics of a rotating beam clamped with an attachment angle and carrying an inertia element
Author
Source
The Arabian Journal for Science and Engineering. Section C, Theme issues
Issue
Vol. 29, Issue 1C(s) (30 Jun. 2004), pp.81-98, 18 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2004-06-30
Country of Publication
Saudi Arabia
No. of Pages
18
Main Subjects
Topics
Abstract AR
سوف تقدم هذه الدراسة اشتقاق نموذج رياضي لدراسة الديناميكا اللاخطية لعارضه مثبتة بزاوية على قرص دائر، و تحمل كتلة ذات عزم دوراني.
و قد تم اشتقاق النموذج الرياضي باستخدام طريقة Lagrange بترافق مع اقتران الشكل المفروض، حيث تم تعويض فرضية اللاتمدد للعارضة و الانحناء اللاخطي في طاقة الحركة و طاقة الوضع.
و تمت محاكاة النموذج اللاخطي عدديا، و قدمت نتائج لدراسة تأثير : زاوية التثبيت، و سرعة الدوران، و نوع العزم، و زمن العزم، و الكتلة ذات العزم الدوراني على السلوك الديناميكي للعارضة و القرص.
Abstract EN
Vibrations of a general continuous system with arbitrary quadratic nonlinearities are considered.
The nonlinearities are expressed in terms of arbitrary quadratic operators.
The two-to-one internal resonance case is considered.
A general approximate solution is presented for the system.
Amplitude and phase modulation equations are derived.
Steady state solutions and their stability are discussed in the general sense.
The sufficiency condition for such resonances to occur is derived.
Finally the algorithm is applied to a specific problem.
American Psychological Association (APA)
al-Qaysi, A. A.. 2004. Non-linear dynamics of a rotating beam clamped with an attachment angle and carrying an inertia element. The Arabian Journal for Science and Engineering. Section C, Theme issues،Vol. 29, no. 1C(s), pp.81-98.
https://search.emarefa.net/detail/BIM-360176
Modern Language Association (MLA)
al-Qaysi, A. A.. Non-linear dynamics of a rotating beam clamped with an attachment angle and carrying an inertia element. The Arabian Journal for Science and Engineering. Section C, Theme issues Vol. 29, no. 1C(s) (Jun. 2004), pp.81-98.
https://search.emarefa.net/detail/BIM-360176
American Medical Association (AMA)
al-Qaysi, A. A.. Non-linear dynamics of a rotating beam clamped with an attachment angle and carrying an inertia element. The Arabian Journal for Science and Engineering. Section C, Theme issues. 2004. Vol. 29, no. 1C(s), pp.81-98.
https://search.emarefa.net/detail/BIM-360176
Data Type
Journal Articles
Language
English
Notes
Includes appendix : p. 98
Record ID
BIM-360176