Electromechanical Coupled Parametric Vibrations for Electromagnetic Railgun

  • L. Xu
  • L. Peng
  • D. Wu
Original Paper



In the rail gun system, the current fluctuation occurs which causes the changes of the electromagnetic stiffness and forms disturbance to the dynamics system. It may lead to disturbances of the projectile trajectory. This is an electromechanical-coupled parametric vibration problem and should be investigated.


Rails in electromagnetic railgun are assumed to be elastic foundation beams. The current flowing through the rail causes an electromagnetic repulsive force between the two rails. The fluctuation of rail current causes mechanical vibration and stiffness change of the rails. The wave current is assumed to vary in the cosine function.


Considering the current fluctuation in the railgun system, an electromechanical-coupled parametric vibration equation is proposed. Using Poincare method, the coupled parameter vibration equation is resolved.


As the dynamic current amplitude, the static current, and distance of the armature to the entrance of the gun increase, the unstable region of the railgun system vibrations increases. As the distance between the two rails, the rail thickness and the rail width, and the stiffness of the elastic foundation increases, the unstable region of the railgun system vibrations decreases.


In this paper, the unstable regions of the railgun system are determined and their changes as the function of the system parameters are analyzed. Results can be used to increase the stability of electromagnetic railgun.


Railgun Parametric vibrations Electromechanical coupled 



This project is supported by the Doctoral Research Program Foundation of Education Ministry of China (Priority development areas, No. 20131333130002).


  1. 1.
    Fair H (2007) Progress in electromagnetic launch science and technology. IEEE Trans Magn 43:93–98CrossRefGoogle Scholar
  2. 2.
    Shvetsov G, Rutberg P, Budin A (2007) Overview of some recent EML research in Russia. IEEE Trans Magn 43:99–106CrossRefGoogle Scholar
  3. 3.
    Lehmann P, Peter H, Wey J (2001) First experimental results with the ISL 10-MJ-DES railgun PEGASUS. IEEE Trans Magn 37:435–439CrossRefGoogle Scholar
  4. 4.
    Fryba L (1977) Vibration of solids and structures under moving loads. Noordhoff, GronningenzbMATHGoogle Scholar
  5. 5.
    Tzeng JT (2003) Dynamic response of electromagnetic railgun due to projectile movement. IEEE Trans Magn 39:472–475CrossRefGoogle Scholar
  6. 6.
    Tzeng JT, Sun W (2007) Dynamic response of cantilevered rail guns attributed to projectile/gun interaction—theory. IEEE Trans Magn 207–213:43Google Scholar
  7. 7.
    Nechitailo NV, Lewis BK (2006) Critical velocity for rails in hypervelocity launchers. Int J Impact Eng 33:485–495CrossRefGoogle Scholar
  8. 8.
    Johnson AJ, Moon FC (2006) Elastic waves and solid armature contact pressure in electromagnetic launchers. IEEE Trans Magn 42:422–429CrossRefGoogle Scholar
  9. 9.
    Johnson AJ, Moon FC (2007) Elastic waves in electromagnetic launchers. IEEE Trans Magn 43:141–144CrossRefGoogle Scholar
  10. 10.
    Xu L, Geng Y (2012) Dynamics of rails for electromagnetic railguns. Int J Appl Electromagn Mech 38:47–64zbMATHGoogle Scholar
  11. 11.
    He W, Bai X (2013) Dynamic responses of rails and panels of rectangular electromagnetic rail launcher. J Vib Shock 32:144–148 (in China) Google Scholar
  12. 12.
    Chen GX, Qian WJ, Mo JL (2016) Influence of the rail pad stiffness on the occurrence propensity of rail corrugation. J Vib Eng Technol 4:455–458Google Scholar
  13. 13.
    Jiang JQ, Wei XJ, Zhang H (2014) Free vibration of timoshenko beams on elastic foundation with horizontal frictions. J Vib Eng Technol 2:305–314Google Scholar
  14. 14.
    Geng Y (2013) Electromechanical coupled dynamics of rails for electromagnetic launcher. Int J Appl Electromagn Mech 42:369–389Google Scholar
  15. 15.
    Xu L, Zheng F, Peng L (2015) Electromechanical coupled nonlinear free vibration of rails for electromagnetic railguns. Int J Appl Electromagn Mech 47:313–322Google Scholar
  16. 16.
    Jin L, Lei B, Li Z, Zhang Q (2015) Dynamic response of rails due to armature movement for electromagnetic railguns. Int J Appl Electromagn Mech 47:75–82Google Scholar

Copyright information

© Krishtel eMaging Solutions Private Limited 2018

Authors and Affiliations

  1. 1.Mechanical Engineering InstituteYanshan UniversityQinhuangdaoPeople’s Republic of China

Personalised recommendations