1. ANALYSIS OF VIBRATION CHARACTERISTICS OF FUNCTIONALLY GRADED PIPE CONVEYING FLUID WITH INITIAL GEOMETRIC DEFECTS.
- Author
-
Yao Ma and Zhongmin Wang
- Abstract
In this paper, the free vibration of functionally graded pipes with initial defects is studied by differential integral method. The pipe model studied is not completely straight, but a functionally graded pipe with initial geometric curvature defects. Firstly, the meso-structure model of functionally graded pipe with initial geometric curvature defect is considered, and the power function model is used to describe the variation law of pipe material along the radial direction of cross section. Secondly, the displacement field equation, the geometric equation, the strain equation and the constitutive equation are given based on the Euler-Bernoulli beam theory. Using the Hamilton principle, the vibration governing differential equation of the functionally graded pipe with initial geometric curvature is derived, and it is dimensionless. Then, the dimensionless control equation and the boundary conditions are discretized by the differential quadrature method to obtain the characteristic equation; Finally, the obtained results are compared with the existing literature data to verify the applicability and accuracy of the differential quadrature method. The effects of gradient index, defect amplitude and fluid flow rate on the initial small curvature functionally graded defect pipe were discussed. The results show that the transition of the pipe from the ceramic material on the inner surface to the SUS304 stainless steel on the outer surface is more reasonable than the transition of the pipe from the ceramic material on the outer surface to the SUS304 stainless steel on the inner surface. [ABSTRACT FROM AUTHOR]
- Published
- 2023