摘要
为了对连续梁进行力学分析,提出了在矩阵位移法基础上改进的传递矩阵法.利用有限单元法对连续梁进行离散化,得到各杆单元位移向量、力向量和单元刚度矩阵,并利用传递矩阵法确定了杆端状态向量的传递关系.引入支承条件后可求解各结点位移和弯矩.连续梁的工程实例证明,本方法是正确和可行的,大大简化了计算过程,更适合于计算机进行连续梁内力的计算.
In order to carry out mechanical analysis of continuous beams, the transfer matrix method improved from the matrix displacement method was presented. Finite element method was employed to discretize the continuous beams so as to obtain the displacement vector, force vector and cell rigidity matrix. Transfer matrix method was employed to determine the transfer relation of the poles in the beam. The displacements and inner forces at crunodes can be solved based on given boundary conditions. A practical calculation project of the continouous beams was demonstrated which can verify the validity of the presented method. This method can simplify the calculation greatly and is more suitable for the inner force calculation of continuous beams by using computer.
出处
《北京工业大学学报》
EI
CAS
CSCD
北大核心
2008年第8期806-810,共5页
Journal of Beijing University of Technology
关键词
有限元法
传递函数矩阵
连续梁
finite element method
transfer function matrices
continuous beam
