dynamical analysis of a 2-degrees of freedom spatial pendulum

التحليل الديناميكي لبندول فراغي ذي درجتي حرية

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ID: 168317
2018
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Abstract
A spatial pendulum with the vertical immobile axis and horizontal mobile axis is studied and the differential equations of motion are obtained applying the method of Lagrange equations. The equations of motion were obtained for the general case; the only simplifying hypothesis consists in neglecting the principal moments of inertia about the axes normal to the oscillation axes. The system of nonlinear differential equations was numerically integrated. The correctness of the obtained solutions was corroborated to the dynamical simulation of the motion via dynamical analysis software. The perfect concordance between the two solutions proves the rightness of the equations obtained.
دُرِس بندول فراغي ذو محور رأسي ثابت ومحور أفقي متحرك، واشتُقّت المعادلات التفاضلية للحركة بتطبيق طريقة معادلات لاغرانج. وقد استُخرجت معادلات الحركة للحالة العامة؛ حيث تمثلت الفرضية التبسيطية الوحيدة في إهمال عزوم القصور الذاتي الرئيسية حول المحاور المتعامدة على محاور الاهتزاز. أُجري التكامل العددي لمنظومة المعادلات التفاضلية غير الخطية، وجرى تأكيد صحة الحلول التي تم التوصل إليها بمقارنتها بالمحاكاة الديناميكية للحركة باستخدام برمجيات التحليل الديناميكي. ويُثبت التطابق التام بين الحلين صحة المعادلات المستنتجة.
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stelian2018matecdynamical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Alaci Stelian, Ciornei Florina-Carmen, Siretean Sorinel-Toderas, Ciornei Mariana-Catalina, Andrei Ţibu Gabriel
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Journal acta botânica brasílica
Year 2018
DOI
10.1051/matecconf/201818401003
URL
https://doi.org/10.1051/matecconf/201818401003
Keywords
engineering (general) civil engineering (general)

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