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纵向过载环境下变质量欧拉梁动特性分析方法

邢誉峰 谢珂 潘忠文

邢誉峰, 谢珂, 潘忠文等 . 纵向过载环境下变质量欧拉梁动特性分析方法[J]. 北京航空航天大学学报, 2013, 39(8): 999-1003,1061.
引用本文: 邢誉峰, 谢珂, 潘忠文等 . 纵向过载环境下变质量欧拉梁动特性分析方法[J]. 北京航空航天大学学报, 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)

纵向过载环境下变质量欧拉梁动特性分析方法

基金项目: 国防973计划资助项目(613133); 国家自然科学基金资助项目(11172028)
详细信息
  • 中图分类号: O342

Dynamic analysis methods of variable-mass Euler beam under longitudinal overload

  • 摘要: 过载是火箭的真实环境.考虑纵向过载环境,根据Hamilton变分原理,得到了欧拉梁变系数横向自由振动微分方程,证明了该变系数系统存在满足刚度和质量正交条件的本征解,揭示了纵向过载环境下欧拉梁本征函数的非对称性.用本征向量叠加方法和改进欧拉中点直接积分算法求解了该变系数系统的动态响应,二者结果的一致性说明该理论推导的正确性和方法的可行性.

     

  • [1] Meirovitch L.General motion of a variable mass flexible rocket with internal flow[J].Journal of Spacecraft and Rockets,1970,7(2):186-195
    [2] Eke F O,Wang S M.Equations of motion of two-phase variable mass systems with solid base[J].Journal of Applied Mechanics,1994,855-860
    [3] Mao T C.Attitude motions of space-based variable mass systems[D].Mechanical Engineering Dept,Univ of California,1996
    [4] Greensite A L.Analysis and design of space vehicles flight control systems[M].New York:Spartan,1970:194-259
    [5] Dejerassi S.Algorithm for simulation of motions of variable-mass systems[J].Journal of Guidance,Control,and Dynamics,1998,21(3):427-434
    [6] Banerjee A K.Dynamics of a variable-mass,flexible-body system[J].Journal of Guidance,Control,and Dynamics,2000,23(3):501-508
    [7] Huang X,Zeiler TA.Dynamics of flexible launch vehicle with variable mass[R].AIAA 2006-826,2006
    [8] Tobbe P A,Matras A L,Wilson H E.Modeling and simulation of variable mass,flexible structures[R].AIAA-2009-6023,2009
    [9] 缪协兴,陈占清,荆武兴.变质量挠性体动力学普遍方程[J].哈尔滨工业大学学报,2001,33(6):736-739
    Miao Xiexing,Chen Zhanqing,Jing Wuxing.Universal dynamic equations for flexiable body with variable mass[J].Journal of Harbin Institude of Technology,2001,33(6):736-739(in Chinese)
    [10] 潘忠文,邢誉峰,杨阳.蒙皮加筋圆柱壳扭转频率的三种计算模型[J].北京航空航天大学学报,2011,37(9):1156-1159
    Pan Zhongwen,Xing Yufeng,Yang Yang.Three analysis models of torsional frequencies of stiffening cylindrical shell[J].Journal of Beijing University of Aeronautics and Astronautics,2011,37(9):1156-1159 (in Chinese)
    [11] 邢誉峰,潘忠文,杨阳.蒙皮加筋圆柱壳弯曲频率的三种计算模型[J].北京航空航天大学学报,2012,38(4):438-443
    Xing Yufeng,Pan Zhongwen,Yang Yang.Three solution models of lateral frequencies of stiffening cylindrical shell[J].Journal of Beijing University of Aeronautics and Astronautics,2012,38(4):438-443 (in Chinese)
    [12] 潘忠文,王旭,邢誉峰,等.基于梁模型的火箭纵横扭一体化建模技术[J].宇航学报,2010,31(5):1310-1316
    Pan Zhongwen,Wang Xu,Xing Yufeng,et al.A beam model based longitudinal-lateral-torsional integrated modeling technique for launch vehicle[J].Journal of Astronautics,2010,31(5):1310-1316(in Chinese)
    [13] 邢誉峰,郭静.与结构动特性协同的自适应Newmark方法[J].力学学报,2012,44(5):904-911
    Xing Yufeng,Guo Jing.A self-adaptive Newmark method with parameters dependent upon structural dynamic characteristics[J].Chinese Journal of Theoretical and Applied Mechanics,2012,44(5):904-911(in Chinese)
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出版历程
  • 收稿日期:  2012-07-27
  • 修回日期:  2012-12-06
  • 网络出版日期:  2013-08-30

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