Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 920651, 12 pages
doi:10.1155/2011/920651
Research Article

Deformation Calculating of Electromagnetic Launcher's Rail Subjected to Sinusoidal Magnetic Pressure

1College of Sciences, Yanshan University, Qinhuangdao 066004, China
2College of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, China

Received 4 February 2010; Accepted 28 October 2010

Academic Editor: Marcelo Messias

Copyright © 2011 Liu Wen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The electromagnetic launcher's rail can be modeled as a beam on elastic foundation with simply supported beam by moving load. In this paper, Euler beam theory is applied to build the mechanical model, and the analytical solution of the equation subjected to sinusoidal magnetic pressure is derived in detail, which has successfully avoided the errors which are caused by using the uniform pressure to approximately replace the variable force. Numerical analysis of the influences brought from the elastic coefficient, the damping coefficient, the mass of rail, and the load's velocity on the deformation of beam by the MATLAB software show that the elastic coefficient and the load's velocity have quite obvious effect on the deformation of the beam while the damping coefficient and the mass of rail have not obvious effect on the deformation of the beam.