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本文以线弹簧模型为基础提出了一种近似分析裂纹梁振动响应的方法．把该方法同EulerBernoulli梁理论、模态分析方法以及断裂力学原理等结合起来运用，导出裂纹梁振动的特征方程．作为应用实例，本文考核了简支裂纹梁和悬臂裂纹梁的固有频率响应．结果表明，本文所获得的解与现有文献中的解或实验结果取得很好的一致．
In this paper, a method to approximate the vibration response of a cracked beam is proposed based on the wire spring model. Combining this method with the Euler Bernoulli beam theory, modal analysis methods, and fracture mechanics principles, the characteristic equations for the vibration of a cracked beam are derived. As an application example, this paper evaluates the natural frequency response of simply supported cracked beams and cantilevered cracked beams. The results show that the solution obtained in this paper is in good agreement with the solution or experimental results in the existing literature.