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多个移动质量-弹簧-阻尼系统作用下梁的动力特性分析
DYNAMIC CHARACTERISTICS OF ELASTIC BEAM UNDER A SERIES OF MOVING OSCILLATING LOADS
【摘要】 本文建立了多个移动质量 -弹簧 -阻尼系统作用下梁与梁上系统的耦合振动方程 ,根据模态分析方法得到一组变系数、变维数的时变力学系统线性常微分方程组。作为特例 ,根据Pesterev和Bergman给出的单个移动系统作用下梁的动力分析结果验证了建模有效性和准确性。并对两个移动质量 -弹簧 -阻尼系统作用下梁的静载模型、移动力模型和移动振动系统模型的内力结果进行了比较。最后对梁在多个移动振动系统作用下的移动临界速度进行了分析。
【Abstract】 In the paper,the problem of a 1D elastic distributed system coupled with a series of moving oscillating load is studied.The solution is obtained by use of the modal superposition combined with the time variation mechanics method.The critical velocity of moving oscillating loads is investigated.Numerical results show the influence of different calculation models on the beam sheat force and bending moment.The method is verified by the numerical results given by Pesterev and Bergman for a single moving oscillating load.
【Key words】 moving oscillating load; modal superposition; time variation mechanics; critical velocity;
- 【文献出处】 振动与冲击 ,Journal of Vibration and Shock , 编辑部邮箱 ,2003年01期
- 【分类号】TH113.1
- 【被引频次】31
- 【下载频次】810