非轴对称垂直荷载下双层弹性理论解及力学分析

Theoretical elastic solution and mechanical analysis for the continuous two-layer system under asymmetrical loading

为更好地模拟车辆荷载对路基路面作用的荷载形式,以非轴对称层状弹性体系理论为基础,引入椭圆荷载形式,基于系数递推法,从连续体系层间结合条件出发,研究了表面层和路基荷载参数的理论解,给出了椭圆垂直荷载下双层连续弹性体系求解。根据理论解编写了C++程序,进而以椭圆垂直荷载下弹性半空间体理论解验证了程序的计算精度,并分析了圆形均布荷载与椭圆荷载下路面结构力学响应。分析结果表明,在椭圆荷载下,荷载圆中心的第一主应力、最大剪应力和竖向位移都比圆形均布荷载大,即在非轴对称荷载作用下,路面结构将产生更加剧烈的力学响应。

Numerous studies of on-ground pressure under tire showed that it is typical not a circular uniform loading.The ground loading distribution is related to the tire pressure and the loading.In order to simulate vehicle loading and pavement structure with a more accurate model,the expressions of loading based on the condition of double continuous interlayer combination was evaluated in this study.Also,the solution of double elastic system was obtained.The C++program was written according to the formula and the program was verified using the elastic half space program under asymmetric vertical loading.In addition,the distribution of pavement structure mechanical response under different loading was analyzed.The results showed that the first principal stress,the first principal strain,and the maximum shear stress of pavement structure under elliptic loading are larger than those under the cylindrical loading,which indicated that asymmetric load will aggravate the fracture and deformation of asphalt pavement.