In-plane vibrations of circular curved beams with a transverse open crack (Q2455805)

Summary: We investigate in-plane vibrations of cracked circular Euler-Bernoulli beams. Only bending and extension effects are included, and the curvature is in a single plane. In-plane vibrations are analyzed using the finite element method. In the analysis, elongation, bending and rotary inertia effects are included. Four degrees of freedom for in-plane vibrations are assumed. We calculate natural frequencies of beams with cracks at different locations and of different depths. Comparisons are made for different angles.