On the Motion of Harmonically Excited Spring Pendulum in Elliptic Path Near Resonances

المؤلفون المشاركون

Amer, T. S.
Bek, M. A.
Hamada, I. S.

المصدر

Advances in Mathematical Physics

العدد

المجلد 2016، العدد 2016 (31 ديسمبر/كانون الأول 2016)، ص ص. 1-15، 15ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2016-10-26

دولة النشر

مصر

عدد الصفحات

15

التخصصات الرئيسية

الفيزياء

الملخص EN

The response of a nonlinear multidegrees of freedom (M-DOF) for a nature dynamical system represented by a spring pendulum which moves in an elliptic path is investigated.

Lagrange’s equations are used in order to derive the governing equations of motion.

One of the important perturbation techniques MS (multiple scales) is utilized to achieve the approximate analytical solutions of these equations and to identify the resonances of the system.

Besides, the amplitude and the phase variables are renowned to study the steady-state solutions and to recognize their stability conditions.

The time history for the attained solutions and the projections of the phase plane are presented to interpret the behavior of the dynamical system.

The mentioned model is considered one of the important scientific applications like in instrumentation, addressing the oscillations occurring in sawing buildings and the most of various applications of pendulum dampers.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Amer, T. S.& Bek, M. A.& Hamada, I. S.. 2016. On the Motion of Harmonically Excited Spring Pendulum in Elliptic Path Near Resonances. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1095921

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Amer, T. S.…[et al.]. On the Motion of Harmonically Excited Spring Pendulum in Elliptic Path Near Resonances. Advances in Mathematical Physics No. 2016 (2016), pp.1-15.
https://search.emarefa.net/detail/BIM-1095921

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Amer, T. S.& Bek, M. A.& Hamada, I. S.. On the Motion of Harmonically Excited Spring Pendulum in Elliptic Path Near Resonances. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1095921

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1095921