Vibration analysis of cracked beam based on Reddy beam theory by finite element method

The lateral vibration of cracked isotropic thick beams is investigated. Generally, the analysis beam based on line elements can be undertaken using either Timoshenko theory or a third order (TSDT) such as Reddy theory. TSDT superior to theory, it eliminates need for shear correction coefficient. However, there no available solution which main focus this paper. investigated divided into several where their stiffness and mass matrices are derived Each element has two nodes with 3 degrees freedom (1 2 rotational) at each node. crack was modeled rotating springs stiffnesses that varied depth. These used connect adjacent elements. impact boundary conditions, slenderness ratio, location, depth In addition, experimental finite analyses steel validate results present model. show maximum deviation between analytical less than 3% up mode shape.