A Series Based Approach to Thermal-induced Vibration of Rotating Beam with and without Tip Mass

Abstract Background Thermal-induced vibrations of rotating structures can be seen at a lot of engineering applications. In this work, thermal-induced vibrations of rotating cantilever beam with and without tip mass are investigated. While upper side of rotating cantilever beam is subjected to various types of thermal heat fluxes, which are constant type, ramp type and sinusoidal type, the other side is assumed perfectly insulated. Because of the thermal moments which occur because of heat fluxes, thermal-induced vibrations originate. Methods For analysis of these vibrations in flap wise direction, a power series based theoretical approach is used. Firstly, the natural frequency of the system is found by using the same approach. The simulations are made for two different rotational speeds, and the solutions are compared with the results which is acquired by Finite Elements Method. Then, tip mass is added to the end of the rotating beam. The solutions are compared with Finite Elements Method results. Results Simulation results show that power series-based approach graphs are close to Finite Elements Method ones. For error analysis, root mean squared errors are calculated between them and maximum error value is found as 0.0820. Conclusions The study confirms that power series-based approach is effective way.