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摘要
In this paper a new crack localization algorithm based on a mathematical model describing the lateral vibration of a rotating cracked Timoshenko beam is proposed. The Lagrange equation and the assumed mode method are used to derive the model. The localization algorithm utilizes the variation in a single natural frequency of the beam versus a few rotor speed values to detect and localize a crack. The algorithm has different means of checking/reconfirming its crack estimate. This may be used to improve the accuracy of the decision. Also, the effect of rotational speed and crack location on the system's dynamical characteristics is investigated using the derived mathematical model. The results are compared with those obtained from a three-dimensional finite-element analysis. Good agreement is observed between the two sets of results. Finally, the reliability of the identification algorithm is established using the data obtained from the finite-element analysis.
- 出版日期2009-10
- 单位中国石油大学（北京）
