用转移矩阵法计算连续梁

本文提出用转移矩阵法计算连续梁的内力和位移．将连续梁两端结点的位移和杆端力，用转移矩阵来表达，然后由边界条件求解，再求出各单元的位移和杆端力．对有ｎ个结点的连续梁，每个结点的未知量为Ｚ，采用一般矩阵位移法计算，未知量数目为ｎＺ个，而按本文方法计算，未知量数目仅为ＺＺ个．未知量数目与结点总数无关．这将大大减少存贮量和计算工作量．结点数目越多，优点越明显．

Transfor Matrix Method for Computing Continuous Beam

To comput the internal forces and displacements of a continuous beam,the trans for matrix method is proposed in the paper. The displacements and forces at the two ends of a continuous beam can be exprossed in terms of the trans for matrix and can be solved in terms of the boundary conditions. Then the end displacements and end forces of each elements can be determined. If the number of unknown of one joint is Z.according to the usual matrix displacement method,the number of unknown of the continuous beam with n joints is nZ.Using this method presented above. it will be 2Z.The number of unknown does not correlate with the number of the joints.Thus the computational storage and work will be greatly decreaced.The greater the joints, the more obvious the advantage.