Bifurcations of a cantilevered pipe conveying steady fluid with a terminal nozzle

摘要: This paper studies interactions of pipe and fluid deals with bifurcations a cantilevered conveying steady fluid, clamped at one end having nozzle subjected to nonlinear constraints the free end. Either parameter or flow velocity is taken as variable parameter. The discrete equations system are obtained by Ritz-Galerkin method. static stability studied Routh criteria. method averaging employed examine analytical results chaotic motions. Three critical values given. first makes lose pitchfork bifurcation. second dynamical Hopf third periodic motions doubling-period