Free Vibration Characteristics of a Thin-Walled Ring Under Different Boundary Conditions

—This paper investigates the natural frequencies of a thin-walled Euler-Bernoulli ring under different boundary conditions with an analytical method. The free in-plane vibration problem of the system is solved in this work and analytical results are validated with numerical solutions obtained from simulations done in ABAQUS package. Comparing the cases of hinged and fixed supports, both analytical and FEM methods confirmed that the natural frequencies for the case of having fixed supports are considerably higher.