移动荷载作用下弹性半空间土体的动力响应

Dynamic Response of Elastic Half-space Soil Under Moving Loads

基于弹性体激振下的运动方程以及入射波与反射波的叠加理论,结合坐标变换和傅里叶变换,建立了分析移动荷载作用下弹性半空间土体动力响应的谱元法。对某实际算例中路面的各力学性能指标进行动力响应分析,得出了由于荷载速度、荷载频率以及土体阻尼比不同而导致的土体表面各点竖向位移的变化,并与其他方法计算结果进行对比。结果表明:该方法合理、可行。

Based on the equation of motion under the elastomeric excitation and the superposition theory of incident and reflected wave, combined with the coordinate transformation and Fourier transformation, a spectral element method of analyzing the dynamic response of elastic half-space soil under moving loads was established. The dynamic responses of various mechanical property indexes in the road of the practical examples were analyzed and the vertical displacements of the point change relationships due to different load speeds, load frequencies as well as damping ratios of soil were gained. The calculation results were compared with the other methods. The results show that spectral element method has feasibility and rationality.