## 留言板

 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)

• 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.

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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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