根据弹性支承点处的协调条件,基于转换矩阵法,给出了两端简支、两端固定、悬臂梁、两端自由边界条件下欧拉连续梁的特征方程,并认为连续梁各跨段跨度不同、弯曲刚度不同、单位长度质量不同,且中间带弹性支承。通过理论和数值分析,将采用转换矩阵法分析得到的结果与三力矩方程法分析得到的结果进行对比,验证了方法的正确性,最后分析了中间弹性支承刚度和边界条件对连续梁模态的影响。 According to the coordination condition of elastic support points, the eigenvalue equations of Euler continuous beams under simple free ends, fixed ends, cantilever beams and free boundary conditions at both ends are given based on the transfer matrix method. Different span, different bending stiffness, different quality per unit length, and the middle of the elastic support. The theoretical analysis and numerical analysis are compared with those obtained by the analysis of the three-moment equations to verify the correctness of the method. Finally, the effects of the middle elastic support stiffness and the boundary conditions on the behavior of continuous beam mode influences.