摘要
针对运动车辆引起的路面结构动力问题,采用移动荷载作用下Kelvin地基上无限大Kirchhoff薄板为力学分析模型,分析了运动车辆作用下刚性路面的动力响应。首先采用积分变换法推导了板挠度的Green函数,并通过Duhamel积分求得各种移动荷载模式作用下板稳态挠度的二维积分解析解,包括恒常和简谐移动点源、线源和面源荷载。然后采用自适应数值积分算法计算解析解中的二维无穷积分,得到了板稳态挠度的数值结果。最后对速度和阻尼等对板稳态挠度的最大值和空间分布的影响进行分析,得到了荷载临界速度,发现了板动力响应的特性和规律。
To investigate the dynamic response to moving vehicles, a rigid pavement is modeled as an infinite plate on Kelvin foundation subjected to moving loads. A Green＇s function is derived by using the integral transform method. Analytical point, line solutions of steady-state displacements are developed by using Duhamel＇s integral for constant and area loads. An adaptive quadratic algorithm is employed to calculate the double infinite or harmonic integrals in the analytical solution. Numerical results for steady-state displacements induced by a constant moving point load are presented as illustrations. The effects of velocity and damping on the maximum and distribution of displacement are analyzed, and the critical velocity and the characteristics of dynamic responses of the plate were found.
出处
《土木工程学报》
EI
CSCD
北大核心
2006年第8期117-125,共9页
China Civil Engineering Journal
