For the boundary - value problem , such as dynamic response of seabed , the finite element formulations of u ~ u and u ~ p forms of generalized biot ' s theory are established in this dissertation . usually the direct solution of u ~ p form is viewed as rather difficult . a procedure is developed by the author 本文针对海床动力响应边值问题,推导了广义biot理论u u和u p两种形式的有限元列式,实现了通常认为很困难的u p形式直接解法,并将交叉迭代法扩展至两种u p形式的综合求解。
Using maxwell electromagnetic equations , by solving the boundary - value problem of magnetic vector potential , analytical expression to impedance increment of the solenoid coil in eddy current testing of the medium in half space was given . theoretical result was modeled in computer . results showed the validity and feasibility of the model 利用maxwell电磁方程组,通过求解矢量磁位的边值问题得到了矢量磁位的解析解,进而导出了媒质上方放置式空心线圈的阻抗增量解析式,并对阻抗变化表达式进行单层板厚度和三层板间隙的检测模型进行了仿真。