On the Motion of Harmonically Excited Spring Pendulum in Elliptic Path Near Resonances
Joint Authors
Amer, T. S.
Bek, M. A.
Hamada, I. S.
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-26
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract 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.
American Psychological Association (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
Modern Language Association (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
American Medical Association (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
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095921