Effect of Concentrated Masses on Dynamic Behavior of a Cracked Beam

S.A. Masoud and A.A. Al-Qaisia (Jordan)


Cracks, Dynamic Behavior, Identification, Modal Analysis


In the present work, the effect of concentrated masses on the dynamic behavior of a clamped cracked beam has been investigated. The mass, the moment of inertia, and the stiffness of the beam are all considered uniformly distributed. The locations of the concentrated masses are prescribed. The crack is simulated by a torsional spring. LaGrange equation, combined with the assumed mode method has been used to derive the governing equations of the system under consideration. The present analysis includes the interaction between the concentrated masses and the crack as far as the role of the crack in reducing the natural frequency of the beam under investigation.

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