板角脱空条件下悬臂板模型的有限差分分析

Finite Difference Analysis on Cantilever Slab Model with Void beneath the Cement Concrete Slab Corner

分析比较了板角脱空条件下传统计算方法和有限差分法的优劣和计算结果之间的差异。传统的计算方法假设脱空面板为一等截面的悬臂板,在计算脱空部位有多个轮载作用的情况下,未考虑荷载偏心对板中应力的影响;利用有限差分法则能克服这个缺陷,并能方便地计算出整个板体不同部位的应力和位移分布。计算结果表明,假定脱空路面板为悬臂板时,无论是由传统方法还是有限差分法,在任何交通等级作用下,路面板均会产生破坏;由有限差分法计算得出的荷载疲劳应力和弯沉均大于利用传统公式的计算结果,在路基路面的设计中应增大安全系数。

The advantages and shortcomings of traditional method and Finite Difference Method （FDM） for the calculation of cantilever slab model with void beneath cement concrete slab corner and analysis on the results were carried out. The traditional method assumes that the cement concrete slab with void below was a cantilever slab with constant sections. The influence of loading eccentricity was not considered while more than two wheel loads were exerted on the concrete pavement, which can be overcome by using Finite Difference Method. With FDM, the stress and displacement distributions of any parts of the cement concrete slab can be easily achieved. The results indicate that when the concrete slab with void beneath the slab corner was assumed to be a cantilever slab, regardless of calculation by traditional method or by FDM, the cement concrete pavement will be destroyed even under the condition of minimum traffic grade. The fatigue stress and road deflection obtained by FDM are bigger than that obtained by the traditional formula, so bigger safety factor should be employed in the road design.