无约束Timoshenko梁横向冲击响应分析

1.
同济大学结构工程与防灾研究所,上海 200092;2.同济大学空天技术中心,上海 200092;3.日本近畿大学理工学部建筑学科,日本大阪 577—8502

基金项目: 国家杰出青年科学基金资助项目(59925820)

Analysis on Transverse Impact Response of an Unrestrained Timoshenko Beam

1.
Research Institution of Structural Engineering and Disaster Reduction, Tongji University, Shanghai 200092, P. R. China;

摘要: 将运动刚体与受其横向冲击的无约束Timoshenko梁看成一个接触-冲击系统，用广义Fourier级数方法推导了系统的特征方程和特征函数，得到了冲击响应的解析解．冲击响应可以分解成弹性响应与刚性响应两部分，验证了接触-冲击系统中弹性响应的动量之和为零，从而得到刚性响应的简便求法．
- 无约束 /
- Timoshenko梁 /
- 横向冲击 /
- 弹性响应 /
- 刚性响应 /
- 动量
Abstract: A moving rigid-body and an unrestrained Timoshenko beam, which is subjected to the transverse impact of the rigid-body, are treated as a contact-impact system. The generalized Fourier-series method was used to derive the characteristic equation and the characteristic function of the system. The analytical solutions of the impact responses for the system were presented. The responses can be divided into two parts: elastic responses and rigid responses. The momentum sum of elastic responses of the contact-impact system is demonstrated to be zero, which makes the rigid responses of the system easy to evaluate according to the principle of momentum conservation.
- unrestrained /
- Timoshenko beam /
- tansverse impact /
- elastic response /
- rigid response /
- momentum

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