Dynamic Stability of a Structurally Damped Delaminated Beam Using Higher Order Theory

Abstract

The static and dynamic stability of the composite beam with a single delamination are investigated using the Timoshenko beam theory. The mechanical model is discretized using the finite element method and the equation of motion is obtained using Hamilton's principle. The coefficients of the mass and stiffness matrix for the damping matrix are determined using experimental modal analysis. The effect of harmonic excitation on the dynamic stability of a single delaminated composite beam is investigated using Bolotin's harmonic balance method. The stability boundaries of the damped and undamped system are compared for different static load values and delamination lengths on the excitation frequency-excitation force amplitude parameter field.