Parametric and Internal Resonances of an Axially Moving Beam with Time-Dependent Velocity
Joint Authors
Panda, L. N.
Sahoo, Bamadev
Pohit, Goutam
Source
Modelling and Simulation in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-10
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The nonlinear vibration of a travelling beam subjected to principal parametric resonance in presence of internal resonance is investigated.
The beam velocity is assumed to be comprised of a constant mean value along with a harmonically varying component.
The stretching of neutral axis introduces geometric cubic nonlinearity in the equation of motion of the beam.
The natural frequency of second mode is approximately three times that of first mode; a three-to-one internal resonance is possible.
The method of multiple scales (MMS) is directly applied to the governing nonlinear equations and the associated boundary conditions.
The nonlinear steady state response along with the stability and bifurcation of the beam is investigated.
The system exhibits pitchfork, Hopf, and saddle node bifurcations under different control parameters.
The dynamic solutions in the periodic, quasiperiodic, and chaotic forms are captured with the help of time history, phase portraits, and Poincare maps showing the influence of internal resonance.
American Psychological Association (APA)
Sahoo, Bamadev& Panda, L. N.& Pohit, Goutam. 2013. Parametric and Internal Resonances of an Axially Moving Beam with Time-Dependent Velocity. Modelling and Simulation in Engineering،Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-508152
Modern Language Association (MLA)
Sahoo, Bamadev…[et al.]. Parametric and Internal Resonances of an Axially Moving Beam with Time-Dependent Velocity. Modelling and Simulation in Engineering No. 2013 (2013), pp.1-18.
https://search.emarefa.net/detail/BIM-508152
American Medical Association (AMA)
Sahoo, Bamadev& Panda, L. N.& Pohit, Goutam. Parametric and Internal Resonances of an Axially Moving Beam with Time-Dependent Velocity. Modelling and Simulation in Engineering. 2013. Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-508152
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508152