论文部分内容阅读
本文针对传递矩阵法在结构振动计算中的应用所存在的几个问题,提出了相应的解决方法,其中包括:将频率行列式展为ω~3的高次多项式,化频率试算时的矩阵连乘为多项式求值运算,加快了计算速度;用各阶子行列式 detH~*的符号变化次数来判断各频率的所在区间,避免了搜索步长选取不当可能造成的频率遗漏或增加计算量的缺点;用反算修正迭代法消除传递矩阵中的误差传播,使最终的状态向量能很好地满足边界条件。
In this paper, several problems in the application of transfer matrix method in structural vibration calculation are proposed, including the following: the frequency determinant is extended to high-order polynomials of ω~3, and the matrix of the frequency is calculated. Multiply by polynomial evaluation to speed up the calculation speed; determine the interval of each frequency by using the number of symbol changes of the determinant detH~* of each order, to avoid frequency omissions or increase the amount of calculation caused by improper selection of the search step length. The disadvantages of the method are that the inverse correction iteration method eliminates the error propagation in the transfer matrix so that the final state vector can well satisfy the boundary conditions.