无约束平面框架结构冲击响应分析(Ⅱ)——数值算例分析

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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 Impact Responses of an Unrestrained Planar Frame Structure(Ⅱ)—Numerical Example Analysis

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

摘要: 利用第(Ⅰ)部分推得的公式，对一无约束平面框架结构受运动刚体冲击时的瞬态响应进行了数值计算分析．计算了结构与运动刚体之间的冲击力时程曲线、梁中的剪力及弯矩分布、轴力杆件中的轴力分布．分析了杆中的纵波、Timoshenko梁中弯曲波及剪切波的传播现象．数值分析表明：冲击力的延续时间主要是由挠曲波及纵波控制的；在结构的冲击响应分析中，梁的剪切效应不容忽略．
- 无约束平面框架结构 /
- 冲击响应 /
- 冲击力 /
- 波的传播
Abstract: By using the formula derived in Part(Ⅰ),the instant response of an unrestrained planar frame structure subjected to the impact of a moving rigid-body are evaluated and analysed.The impact force-time history between the structure and the moving rigid-body,shear force and bending moment distribution along the beams,axial force distribution along the bars were calculated.The wave propagation phenomena of the longitudinal wave in the bars,the flexural and shear waves in the beams were also analysed.The numerical results show that the time duration of impact force is controlled by the flexural wave and the longitudinal wave;the shear effect in beams should not be neglected in the impact response analysis of structures.
- unrestrained planar frame structure /
- impact /
- impact force /
- wave propagation

[1]	郑海涛.无约束结构的冲击瞬态响应和应力波传播[D].硕士学位论文.上海：同济大学,2002，6—33.
[2]	褚德超,邢誉峰.点弹性碰撞问题之解析解[J].力学学报，1996,28(1)：99—103.

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