Parametric instability of a non-prismatic bar with localized damage subjected to an intermediate periodic axial load

The dynamic instability behaviour of a tapered beam with localized zones of damage and subjected to concentrated periodic loads applied at some intermediate point has been studied by using a finite element analysis. The effects of parameters such as extent and position of damage, position of load, the static and dynamic load factors on the vibration and instability behaviour are discussed. The influence of damage on natural frequency is observed to be most intense at some critical position on the beam. The parametric instability regions are influenced by the combined effects of the position of damage and the position of intermediate load on the beam.