A Mathematic Model for Dynamic Transient Response of Electromagnetic Rail on Elastic Foundation

Lei Shi, Xiangzhong Bai


The electromagnetic launcher’s rail can be modeled as a beam which is on elastic foundation with cantilevered support by moving load. In this paper Euler beam theory is applied to build the Mathematic model and the complete solution of the equation is derived in detail. At last, a numerical experiment, which analyzes the influences brought by the moving load velocity and the damping force on the transient response of beam, shows that the moving load’s velocity has a quite obvious affect on the response of the beam.

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DOI: https://doi.org/10.5539/mas.v3n10p60

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