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Volume 39 Issue 8
Aug.  2013
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Journal of Beijing University of Aeronautics and Astronautics  > 2013  >  39(8): 999-1003,1061.
Xing Yufeng, Xie Ke, Pan Zhongwenet al. Dynamic analysis methods of variable-mass Euler beam under longitudinal overload[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(8): 999-1003,1061. (in Chinese)
Citation: Xing Yufeng, Xie Ke, Pan Zhongwenet al. Dynamic analysis methods of variable-mass Euler beam under longitudinal overload[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(8): 999-1003,1061. (in Chinese)
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Dynamic analysis methods of variable-mass Euler beam under longitudinal overload

  • 1.

    School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • 2. Beijing Astronautics Systems Engineering Institute, Beijing 100076, China

  • Received Date: 27 Jul 2012
  • Rev Recd Date: 06 Dec 2012
  • Publish Date: 30 Aug 2013
    Abstract
  • Overload is the real environment of launch vehicles. The variable-coefficient transverse differential equation for the free vibration of Euler beam under longitudinal overload was derived on the basis of the Hamiltonian principle. For the variable-coefficient dynamic system, the existence of eigensolutions satisfying the orthogonal conditions of mass and stiffness was proved, and the asymmetry of such eigenfunction was revealed. A modified Euler symplectic midpoint difference method and a modified mode superposition method were employed to solve the equation of variable-mass systems. The numerical results of the two methods agree well, and validate the correctness of present theory and feasibility of the two methods.

     

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