Abstract
Abstract
In this research, the transfer matrix of a cracked beam which includes the vibration modes of both longitudinal and transverse deformation is derived based on Timoshenko beam model. The expression of the natural frequencies and mode shapes of vibration using transfer matrix method are proposed which can be effectively used for real-time crack detection. Manifold types of cracks in the cantilever beam which have been simulated by finite element method, and the solutions are compared with those from the transfer matrix method. The difference between results could be used for detecting both the size and location of the crack. Therefore, the transfer matrix method can be successful used for analysis of vibration in the cracked beam, and the errors are within the tolerant range.
Subject
General Physics and Astronomy