将基于功率平衡原理的Ritz级数法应用到损伤梁计算中,计算出简支梁损伤前后的固有频率和振型,并与有限元软件ANSYS对裂纹简支梁分析出的固有频率和振型进行对比,结果表明2种计算方法得到的固有频率和振型基本吻合,各阶固有频率和振型变化趋势基本吻合,最后通过实验对理论计算结果进行了验证。 The Ritz series method based on the principle of power balance was applied to the calculation of the damaged beam. The natural frequencies and modes before and after the damage of the simply supported beam were calculated. The natural frequencies and mode shapes analyzed by finite element software ANSYS were analyzed. The results show that the natural frequencies obtained by the two methods agree well with the vibration modes, and the variation trend of the natural frequency and mode shape of each step basically agrees. Finally, the theoretical calculation results are verified through experiments.