振动分析中非对称矩阵复特征值计算

Calculation of complex eigenvalue of asymmetric matrix in analysis of vibration

双步QR法是求解一般矩阵特征值问题的有效方法,但在实际应用过程中存在一些不足。结合典型的输送流体管道振动分析中的特征值计算问题,分析一般实矩阵特征值问题算法的特点,对现行的双步QR算法进行了改进,给出新的收敛准则。采用新的收敛准则,分析了两端简支输水管道振动特征值问题,分析结果表明新方法具有计算速度快、精度高的特点。

Francis QR method is efficient way to calculate the complex eigenvalue of matrix. However some deficiencies exist when it is applied in practice. The characteristic of the proposed algorithm for calculating the eigenvalues of general real matrix is analyzed. Combining with the vibration analysis of pipe conveying fluid, the improved algorithm is presented with the new convergence rule. The algorithm has the characteristics of fast speed and improved precision.