Stability of Pipes Conveying Fluid on an elastic foundation Based on GDQR

作者：Li Wei^*; Zeng Zhi Song; Han Xu

来源：Journal of Vibration and Shock, 2015, 34(4): 211-216.

DOI：10.13465/j.cnki.jvs.2015.04.036

• Critical velocities
• Eigenvalue equations
• Engineering practices
• Generalized differential quadrature rule
• Pipe-conveying fluid
• Pipes conveying fluid
• Support conditions
• Two-parameter models

Here, the generalized differential quadrature rule (GDQR)was applied to investigate the stability of a pipe conveying fluid on an elastic foundation. Based on the motion equations and boundary conditions of a pipe conveying fluid, the eigenvalue matrix equation was obtained after the pipe was discretized with GDQR. After analyzing the corresponding eigenvalue equations, the critical fluid's flowing velocities for divergence and flutter of the pipe under different support conditions were calculated, the effects of translational and rotational spring stiffnesses on the critical unstable flowing velocites and the stability regions were analyzed. Meanwhile, the influences of mass ratio, reaction force coefficient and shear modulus of the two-parameter model of the foundation on the stability regions were studied, some useful conclusions were drawn. These conclusions provided a guidance for engineering practices.

• 出版日期2015
• 单位华中科技大学