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Cracks can occur in machines and structures due to vibrations in operation. For safety, early detection of cracks is an important issue. So far many detection techniques of cracks using dynamic response have been proposed. Most of them assume that the cracks are open cracks, which are always open in vibration. However, actual fatigue cracks are breathing cracks, which open and close in vibration depending on sign of the bending moment. In a previous report, the authors presented a vibration analysis method for a beam with breathing cracks based on the mixed variational principle. This report proposes a detection technique of breathing cracks in a vibrating beam using the presented analysis method. Applicability of the proposed detection technique is confirmed by numerical simulation.

nihon kikai gakkai ronbunshū. c

Detection of Breathing Cracks in a Beam Using Dynamic Response (Proposition of a Detection Technique Using a Finite Element Method Based on the Mixed Variational Principle)