Nonlinear Free Vibration Analysis of Fluid Conveying FG Tube Via Energy Balance Method

Abstract

Hereby, a fluid conveying tube made by FG (functionally graded) materials was considered. For which a higher-order beam model for tubes which can satisfy the shear stress boundary conditions on the inner and outer surfaces was applied. Through the Hamilton’s principle, the governing equations were gained. By keeping the first order mode shape and using energy balance method, the linear and nonlinear frequencies were obtained. Numerical simulation justified the correctness of these results. Discussions on the relationship between the frequencies and the FG tube’s parameter were also performed.