节点文献
确定轴向运动梁固有频率的多尺度法(英文)
Determination of the natural frequencies of axially moving beams by the method of multiple scales
【摘要】 <正>The natural frequencies of an axially moving beam were determined by using the method of multiple scales. The method of second-order multiple scales could be directly applied to the governing equation if the axial motion of the beam is assumed to be small. It can be concluded that the natural frequencies affected by the axial motion are proportional to the square of the velocity of the axially moving beam. The results obtained by the perturbation method were compared with those given with a numerical method and the comparison shows the correctness of the multiple-scale method if the velocity is rather small.
【Abstract】 The natural frequencies of an axially moving beam were determined by using the method of multiple scales. The method of second-order multiple scales could be directly applied to the governing equation if the axial motion of the beam is assumed to be small. It can be concluded that the natural frequencies affected by the axial motion are proportional to the square of the velocity of the axially moving beam. The results obtained by the perturbation method were compared with those given with a numerical method and the comparison shows the correctness of the multiple-scale method if the velocity is rather small.
【Key words】 the method of multiple scales； natural frequency； axially moving beam.；
- 【文献出处】 Journal of Shanghai University(English Edition) ,上海大学学报(英文版) , 编辑部邮箱 ,2007年03期
- 【分类号】O327
- 【被引频次】3
- 【下载频次】143