一种裂纹梁振动响应分析的近似方法

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Euler-Bernoulli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.

An Approximate Method of Response Analysis of Vibrations for Cracked Beams

In this paper a method based on a line-spring model was proposed to analyzeapproximately vibration responses of cracked beams. The method in conjunctionwith the Euler-Bernoulli beam theory, modal analysis and fracture mechanicsprinciple was applied to derive a characteristic equation for the cracked beam vibration. As application examples, natural frequency responses for a cracked highedhinged beam and a cracked cantilever beam were examined. It is shown thatthe present solutions obtained are in quite an agreoment with the solutions orexperimental results in available references.