## 留言板

 引用本文: 陈, 郑海涛, 薛松涛, 唐和生, 王远功. 无约束Timoshenko梁横向冲击响应分析[J]. 应用数学和力学, 2004, 25(11): 1195-1202.
CHEN Rong, ZHENG Hai-tao, XUE Song-tao, TANG He-sheng, WANG Yuan-gong. Analysis on Transverse Impact Response of an Unrestrained Timoshenko Beam[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1195-1202.
 Citation: CHEN Rong, ZHENG Hai-tao, XUE Song-tao, TANG He-sheng, WANG Yuan-gong. Analysis on Transverse Impact Response of an Unrestrained Timoshenko Beam[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1195-1202.

## 无约束Timoshenko梁横向冲击响应分析

• 中图分类号: O347.1

## Analysis on Transverse Impact Response of an Unrestrained Timoshenko Beam

• 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．
•  [1] Su X Y,Pao Y H.Ray-normal mode and hybrid analysis of transient waves in a finite beam[J].Journal of Sound and Vibration,1992,151(2):351—368. [2] Boley B A,Chao C C.Some solutions of the Timoshenko beam equations[J].Journal of Applied Mechanics,1955,22(3):579—586. [3] Miklowitz J,Calif P.Flexural wave solutions of coupled equations representing the more exact theory of beams[J].Journal of Applied Mechanics,1953,20(3):511—514. [4] Anderson R A,Calif P.Flexural vibrations in uniform beams according to the Timoshenko theory[J].Journal of Applied Mechanics,1953,20(3):504—510. [5] Huang T C.The effect of rotary inertia and of shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions[J].Journal of Applied Mechanics,1961,28(3):579—584. [6] 刑誉峰.有限长Timoshenko梁弹性碰撞接触瞬间的动态特性[J].力学学报，1999，31(1)：67—74.

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##### 出版历程
• 收稿日期:  2003-08-28
• 修回日期:  2004-06-18
• 刊出日期:  2004-11-15

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