Free vibration of the double tapered cracked beam

This study presents the free vibration analysis of a double tapered beam having linearly varying both thickness and width, by using finite element component mode synthesis methods. To determine natural frequency shape cracked beam, stiffness mass matrices have been obtained. The crack in is modeled as massless spring, divided into two subcomponents from section. spring has derived linear elastic fracture mechanics theory inverse compliance matrix calculated stress intensity factors strain energy release rate expressions. It observed that frequencies shapes vary depending on location crack, depth aspect ratios beam. results present those literature are compared great deal consistency found.