STABILITY ANALYSIS OF PIPES CONVEYING FLUID

WITH REMOVABLE ELASTIC SUPPORT

Zhao Fengqun  Wang Zhongmin

(Institue of Natural Science, Xi’an University of Technology, Xi’an 710048)

Feng Zhenyu

(Department of Basic Courses, Chang’an University, Xi’an 710064)

Liu Hongzhao

(School of Mechanical and Instrumental Engineering, Xi’an University of Technology, Xi’an 710048)

Abstract: The stability of pipes conveying fluid with removable elastic support is studied. A differential equation of the pipe in subsection , continuous conditions at removable elastic support and boundary conditions are established. The recurrence formulas are obtained by using the finite difference method. The effect of elastic constant of the elastic support, location of elastic support on vibration frequencies and stability of elastic pipe conveying fluid are analyzed, and the stability regional graphs (divergence region and flutter region) are plotted.

Key words: Stability  Pipe conveying fluid  Elastic support  Finite difference method

CLC No: O34

陕西省教育厅专项科研计划资助项目(01Jk202). Received 20031014, received in revised form 20040430