论文部分内容阅读
针对钢筋混凝土结构有限元分析中,材料进入非线性阶段后,难以通过梁理论准确描述混凝土截面和钢筋应力状态的问题,提出了基于柔度法和分布式塑性理论的钢筋混凝土梁单元材料非线性方法——网格截面法。这种方法采用平面等参单元将梁单元网格化,由单元轴向积分点位置截面网格积分点的混凝土应力描述单元截面应力分布,同时考虑钢筋对刚度的贡献,并通过对截面网格材料的积分计算积分点位置的截面刚度矩阵,再利用力插值函数和能量原理得到梁单元的柔度矩阵,进而对柔度矩阵求逆计算单元刚度矩阵。通过算例验证该方法在钢筋混凝土承载力分析时的准确性。
In the finite element analysis of reinforced concrete structures, after the material enters the non-linear phase, it is difficult to accurately describe the stress state of the concrete cross-section and the steel bar by the beam theory. The nonlinearity of the material of the reinforced concrete beam based on the flexibility method and the distributed plastic theory Method - grid section method. In this method, the element of the plane is meshed to mesh the beam element. The stress distribution of the element is described by the concrete stress at the integral point of the element at the axial integral point of the element, and the contribution of the reinforcement to the stiffness is also considered. The integral of the material is used to calculate the section stiffness matrix at the position of the integration point. Then, the force matrix and the stiffness matrix of the beam element are obtained by using the force interpolation function and the energy principle. An example is given to verify the accuracy of this method in the analysis of the bearing capacity of reinforced concrete.