基于空间组合式单元模型的表面求交算法

在空间埋置组合式单元模型中,钢筋单元可埋置于混凝土单元任何位置,混凝土单元网格剖分不受钢筋位置的限制,方便实用,但需确定钢筋单元两端在混凝土单元表面的位置坐标。因此,求解钢筋线与混凝土单元表面的交点坐标是应用该单元模型的前提,现有的求解方法只适用于混凝土单元表面是平面的情况。为此,提出了牛顿迭代法和分块解析法两种处理方法,能求解钢筋线与混凝土单元表面为任何形状时的交点坐标,增强了该模型的适用性。通过算例验证了这两种方法的正确性。从适用性而言,分块解析法要优于牛顿迭代法。

Surface Intersection Algorithm Based on Spatial Embedded Finite#br#Element Model

In the spatial embedded finite element model, the bar element can be embedded at anyposition in the concrete element. The element model is convenient because the mesh of the concreteelement is not limited by the reinforcement. In the application of the element model, it is necessary toobtain the coordinates where the both ends of the steel element lie at the surface of the concreteelement. Therefore, it is the premise of application of the model to solve the intersection of thereinforcement line and the concrete element surface. The existing method is only suit for the concreteelement with plane surface. In this paper, the Newton iterative method and the divided block analyticmethod are proposed which can solve the intersection of the reinforcement line and the surface ofconcrete element with any shape. The method in the paper can enhance the applicability of the spatialembedded finite element model. The correctness of the two methods is verified by an example. Interms of applicability, the divided block analytic method is superior to the Newton iterative method.