| 杆-梁和梁-梁组合结构中的波动现象 |
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| 引用本文： | 邢誉峰,王丽娟. 杆-梁和梁-梁组合结构中的波动现象[J]. 北京航空航天大学学报, 2004, 30(6): 520-523 |
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| 作者姓名： | 邢誉峰 王丽娟 |
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| 作者单位： | 北京航空航天大学 航空科学与工程学院, 北京 100083 |
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| 摘 要： | 杆-梁结构和梁-梁结构都是典型的组合结构.用间接模态叠加法分析杆-Timoshenko梁之间以及两根Timoshenko梁之间的碰撞问题.在间接模态叠加法中,首先分别独立求得杆和梁的固有频率和模态函数,然后建立碰撞体和靶体之间的位移协调方程,并用逐步积分方法求解该方程.分析了纵波和剪切波在杆和梁中的传播特性.
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| 关 键 词： | 波传播 组合结构 梁 碰撞 模态叠加法 |
| 文章编号： | 1001-5965(2004)06-0520-04 |
| 收稿时间： | 2003-01-20 |
| 修稿时间： | 2003-01-20 |
Analysis of wave propagation in the built-up structures of rod-beam and beam-beam |
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| Xing Yufeng,Wang Lijuan. Analysis of wave propagation in the built-up structures of rod-beam and beam-beam[J]. Journal of Beijing University of Aeronautics and Astronautics, 2004, 30(6): 520-523 |
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| Authors: | Xing Yufeng Wang Lijuan |
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| Affiliation: | School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China |
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| Abstract: | The impact problems of a rod on a Timoshenko beam and a Timoshenko beam on another Timoshenko beam were analyzed by means of the indirect mode superposition method(IMSM). A rod on a beam and a beam on another beam are both typical built-up structures. The displacement compatible equations of the two problems were established by IMSM on the basis of the individually obtained mode functions and frequencies of impactors and targets,and solved by numerical integration step by step. The numerical analysis by making use of dimensionless variables show the propagation of the longitudinal waves along rod,and the longitudinal and transverse waves along beam,and the mutual transition and reflection between the longitudinal waves and the transverse waves in the impact built-up structures in detail. |
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| Keywords: | wave propagation composite structures beams collisions mode superposition method |
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