By introducing the hysteretic forces acting on the pipe into Hamilton’s principle through the principle of virtual work, the nonlinear equations of motion of cantilevered pipes conveying fluid with hysteretic supports are derived. Galerkin’s discretization method is applied to the motion equations, numerical simulation of dynamic responses are performed based on the platform of MATLAB, First,the reasonableness of the hysteretic model has been proved by comparing the results of its degenerate model and the results by other researchers. Then, numerical simulations of dynamic response of system and parametric researches about structural nondimensional stiffness are conducted. Results show abundant dynamic phenomenon of the system, the variety of nondimensional stiffness can lead to the changes of bifurcation style, bifurcation path, period number and parameter range.
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