Vibration analysis of a rotating beam with variable angular velocity

Abstract

A beam subjected to a constant fluid flow load is analysed assuming a solution in the form of exponential and trigonometric functions and applying the Galerkin method. The combined effect of gas velocity, angular velocity of rotation, setting angles, and hub radius is examined. Through appropriate simplifications, the fourth order nonlinear differential equations governing the problem are degenerated into a second order ordinary differential equation. It is demonstrated by numerical examples, that the constant fluid flow load can have a significant effect on the dynamic response of a rotating bea