变速移动载荷作用下黏弹性地基梁动力响应  

DYNAMIC RESPONSE OF A BEAM ON VISCOELASTIC FOUNDATION UNDER LOAD OF VARIABLE MOVING SPEED

作　　者：彭伯伦 江杰[2,3,4] 任浩熙 陈思达 PENG Bolun;JIANG Jie;REN Haoxi;CHEN Sida(China Construction Eighth Engineering Division Co.,Ltd,Nanning 530000,China;College of Civil Engineering and Architecture,Guangxi University,Nanning 530004,China;Security Key Laboratory of Disaster Prevention and Structural Engineering,Nanning 530004,China;Guangxi Key Laboratory of Disaster Prevention and Engineering Safety,Nanning 530004,China)

机构地区：[1]中国建筑第八工程局有限公司,南宁530000 [2]广西大学土木建筑工程学院,南宁530004 [3]工程防灾与结构安全教育部重点实验室,南宁530004 [4]广西防灾减灾与工程安全重点实验室,南宁530004

出　　处：《力学与实践》2021年第6期914-920,共7页Mechanics in Engineering

基　　金：国家自然科学基金(52068004,51978179);广西自然科学基金(2018JJA160134)资助项目。

摘　　要：利用振型叠加法和Duhamel积分推导得到了在变速移动载荷作用下黏弹性地基梁的动力响应解析解。然后采用Gauss–Legendre求积公式对积分表达式进行计算,研究了移动载荷的初速度、加速度和地基参数对梁挠度的影响。结果表明:梁的挠度随着载荷初速度和加速度的增大而明显减小;此外计算发现增大地基剪切力、地基阻尼和弹性模量可以有效减小梁的挠度,并且梁动力响应的滞后现象还与地基阻尼有关,阻尼越大滞后现象越明显。The integral expression of dynamic deflection of the beam on viscoelastic foundation to a load moving with variable speed is derived using modal superposition and Duhamel’s integral.By employing Gauss–Legendre integration rule,a practical example is chosen to obtain the numerical results.The influences of initial moving velocity,acceleration and parameters of subgrade on the dynamic deflection are discussed.The results indicate that the initial velocity of the moving load have influence on the dynamic response.The dynamic deflection of beam decreases significantly with the increase of the initial moving velocity and acceleration.In addition,it is found that the dynamic deflection of beam decreases with the increase of the shear coefficient,damping and elastic foundation modulus of the foundation and the hysteresis of the dynamic response of the beam is related to the damping,as the damping goes higher,the hysteresis becomes more obvious.

关 键 词：黏弹性地基 变速移动载荷 动力响应 振型叠加法 DUHAMEL 积分 

分 类 号：TB115[理学—数学]