在论文的基础上,本文提出了一种能适合工程实际应用的结构振动解析计算矩阵方法。应用Timoshenko梁和纵振杆的振型函数,从杆在联接点的平衡和变形连续条件出发,建立了规格化的平衡谐调矩阵,从而导出了确定结构模态的矩阵表达式。由于将频率方程的建立过程全部用矩阵形式表达,这就实现了解析法运算的格式化。 On the basis of the dissertation, this paper presents a matrix method of structural vibration analysis and calculation which is suitable for the practical engineering application. Based on the modal function of Timoshenko beam and longitudinal vibrating rod, a normalized balanced harmonic matrix is ​​established based on the equilibrium condition of the rod joint and the deformation. The matrix expression for the determination of structural modal is derived. Since all the process of establishing the frequency equation is expressed in matrix form, this realizes the formatting of the analytic method.