Stability analysis of a fluid-conveying pipe under coaction of distributed follower force and elastic supports is conducted to work out problems like fluid-conveying pipe instability induced by pipe-flow coupling vibration in the petrochemical, aerospace, deep sea and other important engineering fields. The elastic support and the differential equation of fluid-conveying pipe motion under the coaction of flowing ore-water mixture and distributed follower force are established based on the Dirac function and Bernoulli-Euler beam model. The Galerkin method is used to discretize the differential ...