运动荷载下Kelvin地基板的动力响应分析  

DYNAMIC RESPONSE OF PLATE ON KELVIN FOUNDATION SUBJECTED TO MOVING LOAD

作　　者：颜可珍[1] 夏唐代[2] 

机构地区：[1]湖南大学土木工程学院,长沙410082 [2]浙江大学建筑工程学院,杭州310027

出　　处：《振动与冲击》2008年第11期163-167,共5页Journal of Vibration and Shock

摘　　要：基于Kirchhoff薄板理论,运用Fourier积分变换和三角函数级数法,研究了运动分布荷载作用下板的动态响应,并得到了板的变形的封闭形式解。通过数值计算,讨论了荷载运动速度、频率及地基参数等对板的变形的影响规律。该模型可以有效地分析道路、铁道等结构物在运动荷载下的动力响应问题。研究发现板的变形受荷载运动速度、频率和地基阻尼等影响明显。The dynamic responses of a Kirchhoff plate on viscous Kelvin foundation subjected to moving harmonic distributed load were investigated by use of triangular series and integral transformation.An analytical solution of displace- ment of plate was obtained,and the effects of moving speed,the load frequency and damping of foundation on deflected shape and maximum displacement were discussed.The model can be applied to understand the dynamic deflection of pavement or railway structure.Results indicate that load velocity,load frequency and damping of foundation have signifi- cant effects on dynamic response of slab.

关 键 词：板 Kelvin地基 阻尼 运动谐和荷载 积分变换 

分 类 号：O326[理学—一般力学与力学基础]