基于原来在频率领域建议的薄层方法,明确的时间域半分析答案为模仿三维的分层的地面回答到泛音移动被开发了负担。Fourier Laplace 变换被使用导出满足了水平无穷的边界条件的转变答案。特征值分解关于 Laplace 参数被执行表示相应于 eigenmodes 的扎根的运动。为合并动人的负担表达式的每 eigenmode 的明确的表达回来被转变成时间域经分解,并且全球系统回答借助于一般模式重叠方法被给。建议明确的时间领域答案对学习动人的负担作用于或在地面内的各种各样的类型合适。在这篇论文,有矩形的分发的动人的泛音负担被采用表明扎根的反应模拟。为有在以上下面的速度的动人的负担的二个解说性的例子扎根的瑞利波浪速度被介绍测试建议途径的计算精确性和效率。参量的研究也被执行在扎根的回答上调查土壤性质的影响。
Based on the thin layer method originally proposed in frequency domain, an explicit time domain semi-analytical solution has been developed for simulating three-dimensional layered ground responses to harmonic moving loads. The Fourier-Laplace transforms were applied to derive the transformed solution that satisfied the boundary conditions of horizontal infinities. The eigenvalue decomposition was performed with respect to Laplace parameter to express the ground motion corresponding to the eigenmodes. The formulation for each eigenmode incorporating the moving load expression was transformed back into time domain analytically, and the global system responses were given by means of the general mode superposition method. The proposed explicit time domain solution is suitable for studying various types of moving load acting on or inside the ground. In this paper a moving harmonic load with rectangular distribution was adopted to demonstrate the ground response simulation. Two illustrative examples for moving load with speeds below or above the ground Rayleigh wave velocity were presented to test the computational accuracy and efficiency of the proposed approach. A parametric study was also performed to investigate the influences of soil properties on the ground responses.