南昌工程学院学报Issue(6)：23-26,64,5.
移动荷载作用下周期支撑无限长梁动力响应
Dynamic response of infinite periodic beam subjected to a moving load
摘要
Abstract
A study is presented of the oscillation of an infinite beam which rests on identical periodic sim-ple elastic supports. The beam transverse defection is caused by a harmonic concentrated force,moving steadily along the beam. It is supposed that the beam had been at rest before the force approached and re-turned to rest after the force had moved away. It is further supposed that the beam defections at any pair of points,separated on the periodic support spacing,obey the special condition. The beam defection is gov-erned within the segment by the Euler-Bernoulli partial differential equation,four boundary conditions and the above mentioned suppositions. The Fourier transformation is used to solve the problem. Some numeri-cal examples and corresponding analysis are presented. If the angular velocity of the moving load is small, then the beam inertia forces are small in comparison with its elastic ones. In this case,the beam defection has to be near the quasi static defection of the beam without inertia. Also,the value of beam defection in-creases as the oscillation frequency and the velocity of the movin load grow.关键词
移动荷载/周期结构/Euler-Bernoulli梁/Fourier变换Key words
moving loads/periodic structure/Euler-Bernoulli beam/Fourier transformation分类
建筑与水利引用本文复制引用
汪小布,陈佳星,俞挺,黄晓强..移动荷载作用下周期支撑无限长梁动力响应[J].南昌工程学院学报,2014,(6):23-26,64,5.基金项目
江西省教育厅科学技术研究项目（ GJJ14755）；江西省大学生创新创业训练计划项目 （）
