通过建立2.5维有限单元结合薄层单元方法,研究了接近或超过临界速度的移动荷载作用下地基三维振动问题.通过沿荷载移动方向的波数变换将三维问题降维成每个节点有3个自由度的平面应变问题,极大地提高了计算效率.采用有限单元模拟荷载作用范围所在的地基近场区域,用动力薄层单元构建透射边界来模拟波从近场向无穷远处的传播.通过数值计算给出了地基表面振动的动力时程和三维波动场的分布,发现当移动荷载的马赫数接近或大于1.0时地基中产生明显的波动传播现象.
A hybrid method of 2.5 dimensional finite element and thin-layer element was developed to study dynamic ground responses due to moving loads. The wavenumber transform in load moving direction was applied to reduce the three dimensional dynamic problem to a two-dimensional plain problem, in which each node has three degrees of freedom. Computation efficiency can be achieved without losing any precision. The ground in the near field was modelled with finite elements, while thin layer elements were used to construct the transmitting boundary to let outgoing waves dissipate into the far field. The time histories of ground responses and wave motions are presented, and it was found that significant wave propagations are generated when Mach number of moving load approaches or exceeds 1.0.