Analytical Solutions of Linearly Elastic Impact of Beams
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摘要: 把结构弹性碰撞问题可以看成是碰撞结构集成系统振动初值问题,本文根据这一对策,得到了质点、杆分别与简支梁横向碰撞问题之解析解.借助数值分析方法详细探讨上述两种碰撞问题的动态响应特性,分析了冲击载荷的收敛性.用弹簧模拟接触变形,分析了接触变形对收敛性和碰撞响应的影响.Abstract: According to the elastic impact problems of structures are considered as initial value problems of the integrated impact structural systems,and the analytical solutions of a particle and a rod impacting laterally with a simply-supported beam are given. The dynamical responses of the above-mentioned two impact problems are investigated by numerical analysis. The convergence of the impact loads is analyzed in detail. And the effects of elastic contact deflections on convergence and impact responses are discussed,in which the elastic contact deflection is considered to be a spring.
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Key words:
- collisions /
- vibration /
- contact deflection
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