Dynamic Analysis of Rotating Pendulum by Hamiltonian Approach
Joint Authors
Khan, Nadeem Alam
Khan, Najeeb Alam
Riaz, Fatima
Source
Chinese Journal of Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-22
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
A conservative system always admits Hamiltonian invariant, which is kept unchanged during oscillation.
This property is used to obtain the approximate frequency-amplitude relationship of the governing equation with sinusoidal nonlinearity.
Here, we applied Hamiltonian approach to obtain natural frequency of the nonlinear rotating pendulum.
The problem has been solved without series approximation and other restrictive assumptions.
Numerical simulations are then conducted to prove the efficiency of the suggested technique.
American Psychological Association (APA)
Khan, Najeeb Alam& Khan, Nadeem Alam& Riaz, Fatima. 2013. Dynamic Analysis of Rotating Pendulum by Hamiltonian Approach. Chinese Journal of Mathematics،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-456239
Modern Language Association (MLA)
Khan, Najeeb Alam…[et al.]. Dynamic Analysis of Rotating Pendulum by Hamiltonian Approach. Chinese Journal of Mathematics No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-456239
American Medical Association (AMA)
Khan, Najeeb Alam& Khan, Nadeem Alam& Riaz, Fatima. Dynamic Analysis of Rotating Pendulum by Hamiltonian Approach. Chinese Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-456239
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456239