Vibration and stability of multi-cracked beams under compressive axial loading

摘要

In this study, a novel technique for the vibration and stability analyses of axially loaded beams with multi-cracks was offered. In the model which combines the finite element and component mode synthesis methods, the cracks were modelled as massless springs. Initially, stability analysis was completed and then three numerical cases were given to explore the effects of axial load levels, crack locations and ratios on the natural frequencies and mode shapes of the beams. Very good conformities between outcomes of the current study and those in literature, gave the confidence that the proposed method which could be used to predict crack positions, crack sizes and critical buckling load of defected structures by using the modal data, was reliable and effective.