This paper aims to develop an accurate nonlinear mathematical model which may describe the coupled in-plane motion of an axially accelerating beam. The Extended Hamilton’s Principle was utilized to derive the partial differential equations governing the motion of a simply supported beam. The set of the ordinary differential equations were obtained by means of the assumed mode method. The derived elastodynamic model took into account the geometric non-linearity, the time-dependent axial velocity and the coupling between the transverse and longitudinal vibrations. The developed equations were solved numerically using the Runge-Kutta method and the obtained results were presented in terms of the vibrational response graphs and the system natural frequencies. The system dynamic characteristics were explored with a major focus on the influence of the velocity, acceleration and the excitation force frequency. The obtained results showed that the natural frequency decreased significantly at high axial velocities. Also it was found that the system may exhibit unstable behavior at high accelerations.
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ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 2–5, 2015
Boston, Massachusetts, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-5718-2
PROCEEDINGS PAPER
Elastodynamic Modeling and Simulation of an Axially Accelerating Beam
Fadi A. Ghaith,
Fadi A. Ghaith
Heriot Watt University, Dubai, UAE
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Ahmad Ayub
Ahmad Ayub
Heriot Watt University, Dubai, UAE
Search for other works by this author on:
Fadi A. Ghaith
Heriot Watt University, Dubai, UAE
Ahmad Ayub
Heriot Watt University, Dubai, UAE
Paper No:
DETC2015-46644, V008T13A085; 6 pages
Published Online:
January 19, 2016
Citation
Ghaith, FA, & Ayub, A. "Elastodynamic Modeling and Simulation of an Axially Accelerating Beam." Proceedings of the ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 8: 27th Conference on Mechanical Vibration and Noise. Boston, Massachusetts, USA. August 2–5, 2015. V008T13A085. ASME. https://doi.org/10.1115/DETC2015-46644
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