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以拟力法中的弹塑性分解思路和纤维梁理论为基础,将梁单元的截面变形分解为弹性变形和塑性变形,并引入塑性自由度,在材料层面建立了基于拟力法的纤维梁有限元非线性分析方法。该方法可以保持结构整体刚度矩阵不变,其非线性状态通过局部塑性矩阵加以体现,在迭代计算时避免了结构整体刚度矩阵的实时更新与分解,且塑性矩阵相比于结构整体刚度矩阵规模小,提高了计算效率。通过数值算例,将文中方法与采用有限元软件ABAQUS的分析结果进行对比,两者吻合较好,证明了该方法的有效性。
Based on the idea of elasto-plastic decomposition and the fiber beam theory in the quasi-force method, the cross-section deformation of the beam element is decomposed into elastic deformation and plastic deformation and the plasticity degree of freedom is introduced. The finite element method Meta-nonlinear analysis method. This method can keep the overall stiffness matrix of the structure constant, and its nonlinear state can be represented by the local plastic matrix. The iterative calculation avoids the real-time update and decomposition of the overall stiffness matrix of the structure, and the plastic matrix is smaller than the overall stiffness matrix of the structure , Improve the computational efficiency. By numerical example, the method in the paper is compared with the analysis result of ABAQUS which is based on finite element software, and the result is in good agreement, which proves the validity of the method.