匀变速荷载作用下Vlazov地基上梁的动力响应分析  

Dynamic response analysis of a beam resting on the Vlasov foundation under loads moving with uniform variable velocity

作　　者：方昊 刘洋 郑俊杰[1] FANG Hao;LIU Yang;ZHENG Junjie(Institute of Geotechnical and Underground Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

机构地区：[1]华中科技大学岩土与地下工程研究所,湖北武汉430074

出　　处：《哈尔滨工程大学学报》2021年第7期946-952,共7页Journal of Harbin Engineering University

基　　金：国家重点研究发展计划(2016YFC0800200);国家自然科学基金项目(51478201,51808243).

摘　　要：针对匀变速荷载作用下道路路面的动力响应问题,本文将荷载假设成匀变速均布荷载,将路面视为置于Vlazov地基上的Euler-Bernoulli梁,利用一种Fourier变换与有限差分法结合的方法,对Vlazov地基上梁在匀变速荷载作用下的动力响应进行了数值求解。与均质弹性地基上梁在单轴匀速荷载作用下的动挠度理论解进行了对比并验证了方法的正确性。分析了荷载加速、减速和初速度对梁的动态挠度的影响,研究结果表明:荷载加速、减速和初速度对梁的动力响应影响较大;初速度越大,随着荷载运动距离的增加,加速或减速对梁的动挠度峰值的影响越大;当初速度一定时,加速越大,梁的动挠度峰值越大,减速越大,梁的动挠度峰值减小,且加速对于梁的动挠度影响较减速更大。This study aims to solve the dynamic response problem of pavement system under loads moving with uniform variable velocity.To do so,the load is assumed to be an even load with uniform variable velocity while the pavement system is assumed to be an Euler-Bernoulli beam resting on a Vlazov elastic foundation.A method that combines the finite difference method and the Fourier transform method is used to solve the numerical solutions of the dynamic response of a beam resting on a Vlazov foundation subjected to a load moving with uniform variable velocity.The method is verified by comparing with theoretical solutions of the dynamic deflection of a beam on a homogeneous elastic foundation under one-axle load moving with constant speed.The effects of load acceleration,deceleration,and initial velocity on the dynamic deflection of the beam are also investigated.Results show that,with the increase of the load movement distance,a larger initial velocity can lead to a greater effect of acceleration or deceleration on the peak value of the dynamic deflection of the beam.When the initial velocity is constant,the greater the acceleration,the larger the peak value of the dynamic deflection of the beam.The greater the deceleration,the lower the peak value of the dynamic deflection of the beam.The effect of acceleration on the dynamic deflection of the beam is greater than that of deceleration.

关 键 词：Vlazov地基 Euler-Bernolli梁 匀变速荷载 FOURIER变换 有限差分法 动力响应 初速度 加速度 

分 类 号：TU435[建筑科学—岩土工程]