Out-of-plane dynamic stability analysis of curved beams under distributed dynamic loading

In this study, out of plane stability analysis of tapered cross-sectioned thin curved beams under uniformly distributed dynamic loads is investigated by using the Finite Element Method. Applying Lagrange?s principles to the energy expressions, the equation of dynamic equilibrium of the system is obtained and the problem is reduced to an eigenvalue problem. Solutions referred to as Bolotin?s approach are investigated for the dynamic stability analysis and the first unstable regions are examined. Out of plane vibration and out-plane buckling analyses are also studied. In addition, the results obtained from this study are compared with the results of other investigators in existing literature for the fundamental natural frequency and critical buckling load. The effects of subtended angle, variations of cross-section and, static and dynamic load parameters on the stability regions are shown in graphics. Moreover the results obtained with and without internal node for the vibration, buckling and dynamic stability are also compared.