交通荷载下Kelvin地基上连续配筋混凝土板动力响应分析

Dynamic Response of Continuously Reinforced Concrete Pavement Resting on the Kelvin Foundation under Traffic Load

将连续钢筋混凝土路面(CRCP)视为Kelvin地基上有限宽度的无限长正交各向异性薄板,将交通荷载简化为简谐矩形运动荷载,利用三角级数和傅里叶变换,得到单轮、双轮和四轮交通荷载作用下CRCP板的挠度响应解答,并分析荷载速度、振动频率、地基阻尼、配筋率、荷载间距以及荷载相位差的影响。研究表明,无地基阻尼时,CRCP板挠度随荷载速度、振动频率的增加而增加,考虑地基阻尼时,路面板挠度随荷载速度和振动频率的增加反而减少,且纵向上的挠度移曲线变得不对称。配筋率对路面板挠度的影响很小,可以忽略不计。荷载间距较小时,多轮荷载作用下的板挠度会显著叠加,荷载相位差对挠度影响也更加明显,随着荷载间距增大,板的峰值挠度变得与单轮荷载结果接近,荷载相位差的影响不断减弱。

The continuously reinforced concrete pavement(CRCP)is modelled as an orthotropic thin plate with finite width resting on the Kelvin foundation.The traffic load is modelled as a rectangular harmonic moving load on the pavement.The dynamic deflections of the CRCP under single-wheel load,dual-wheel load and four-wheel load are derived respectively based on trigonometric series and Fourier transformation technique.The effects of load velocity,frequency,foundation damping,reinforcement ratio,load spacing as well as load phase difference are analyzed.Results indicate that in the case without foundation damping,the deflection of CRCP increases as the load velocity or frequency increases.However,when the foundation damping is considered,the deflection of CRCP decreases with the growth of load velocity or frequency,and the distribution of the pavement deflection in the longitudinal direction becomes asymmetric.The effect of reinforcement ratio on pavement deflection is trivial and can be negligent.In the case of multiple wheel loads,when the load spacing decreases,the CRCP deflection will significantly increases and the influence of the load phase difference on the deflection becomes more obvious.However,as the load spacing increases,the peak deflection of the CRCP will be close to that of the case of the single-wheel load,and the effect of the load phase difference is weakened gradually.