标题: 弹性支承上的移动谐和荷重之动力分析
Dynamic Analysis for Beam on Elastic Foundation under Harmonic moving load
作者: 王騰雲
Wang, Teng-Yun
劉俊秀
Liou Gin-Show
土木工程學系
关键字: 弹性支承;移动谐和荷重;临界速度;共振;钢轨动力反应;车体震动;Beam on elastic foundation;Harmonic moving load;Critical velocity;Resonance;Dynamic response of steel rail;Vibration of vehicle
公开日期: 1997
摘要: 本文将以高速铁路系统来作为分析模式:亦即车厢以及钢轨,首先旨在研究高速铁路
之轨道系统,在一高速移动的谐和荷重作用下钢轨的动力反应。 随着荷重移动速度改
变,震动频率之改变而去探讨钢轨动力反应函数的情形。而后可求得其轨道阻抗劲度系数
。研究中乃假设钢轨为无限长梁置一黏弹性支承上,经由运动方程式之推导及傅立叶转换
求其变位和阻抗系数。并应用了FFT来对照其正确性。而后乃在获得了阻抗劲度系数后,
即将上部车厢与钢轨间模拟成双自由度之结构动力系统,应用结构土壤互制的理论推导此
时之运动方程式。即可探讨当车轮与钢轨间有一突跳变位时对上部车厢的震动分析。
文中将对世界三种高铁系统进行分析,即法国T.G.V.和德国I.C.E.及日本S.K.S.。同时更
探讨了于更高速度与较高震动频率下的移动荷重对于钢轨的动力反应状况,本论文中有进
一步之研究。
This paper will set up the analytical model for system ofhigh-speed rail ro
ad.The model will include vehicle and steeltrack and elastic foundation.The dy
namic response of steeltrack under a high-speed harmonic moving load of rail-s
ystemis studied first. By the change of load-velocity and vibratorycircular fr
equency, we can explore the behavior of dynamicresponse due to harmonic excita
tion. Therefore, the impedanceof the rail can be found. Then, the vehicle resp
onse due toarbitrary excitation can be obtained using Fourier Transformati I
n this paper, we assumed steel track as an infinite beamthat based on viscoela
stic foundation. By the derivation ofequation of motion, we can find the defle
ction and impedance.For same cases, this can be check by FFT. After getting
the impedance, we can combine the vehicle andsteel track into structural dynam
ic system of 2-DOF. Applyingthe theorem of soil-interaction to this system, eq
uations ofmotion are derived. Then, we can study the vibration of thevehicle a
nd response of the steel track due to toughness ofsteel track. Finally, thre
e systems are taken for examples in order toillustrate the fitness and usefuln
ess of the method presentedby this paper: T.G.V. France, I.C.E. Germany, S.K.S
. Japan.At the same time, the responses of higher speed and circularfrequency
are studied. There are some discussions in the paper too.
URI: http://140.113.39.130/cdrfb3/record/nctu/#NT860015001
http://hdl.handle.net/11536/62575
显示于类别:Thesis