Vibrational Analysis of Beams with V-Notch Cracks: A Finite Element Approach to Structural Health Monitoring
摘要
Cracks in beams can significantly compromise structural integrity, accelerating aging and reducing mechanical resistance, potentially leading to catastrophic failures. This study investigates the vibrational behavior of beams with V-notch cracks using finite element analysis (FEA) in ANSYS to determine the natural frequencies of both cracked and uncracked beams under free vibration conditions. We consider two boundary conditions: one end fixed, and both ends fixed. The analysis examines natural frequencies across different vibration modes, focusing on the impact of crack length, crack position, and boundary conditions. Key findings indicate that the presence of a crack can reduce the natural frequency of the beam by up to 25%, depending on the crack's length and position. For instance, a beam with a crack located at the midpoint and extending to 30% of the beam's depth exhibited a frequency reduction of 18% in the first mode compared to an uncracked beam. Additionally, beams with both ends fixed showed a smaller reduction in natural frequency than those with one end fixed, highlighting the influence of boundary conditions on vibrational behavior. This study's novelty lies in the comprehensive comparison of cracked and uncracked beams under varying conditions, considering the combined impact of crack length, crack position, and boundary conditions. The results underscore the potential for detecting cracks through detailed vibrational analysis, offering a reliable method for early damage detection and maintenance planning in structural applications. This research provides valuable insights for structural health monitoring, enhancing the understanding of crack-induced vibrational changes in beams. Future studies could extend these methods to explore other computational approaches for crack detection, further contributing to infrastructure safety and reliability.