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通过在静力单元刚度矩阵的主对角元素上增加与移动速度有关的项,得到移动问题有限元的单元刚度矩阵,从而将动力学问题转化为“拟静力”问题处理。然后用拟静力有限元方法求解了地基在高速移动荷载下位移随速度变化的问题,通过与解析解的对比,验证了该算法的可行性和正确性。
By adding the items related to the moving speed to the main diagonal element of the stiffness matrix of the static element, the element stiffness matrix of the finite element of the moving problem is obtained, so that the dynamic problem is transformed into the problem of “quasi-static”. Then the quasi-static finite element method is used to solve the displacement of foundation with velocity under high-speed moving loads. The comparison between the proposed method and the analytical solution shows that the proposed method is feasible and correct.