Stability and nonlinear dynamics of fluid-conveying pipes connected with flexible joints
摘要
Bolted flange joints are the most common type of connection in various piping systems. However, few studies have focused on the influence of flexible joints on the vibration characteristics of fluid-conveying pipes. In this work, stability and nonlinear dynamic behavior of a jointed pipe are investigated, with the main aim of revealing the near-resonant response driven by the transverse harmonic excitation. By combining the nonlinear transmitted torque equation and the boundary conditions at the joints, the global modes and their orthogonality relations are determined and then used to transform the continuous model into a reduced-order one via the Galerkin method. Numerical results show that the variations in joint stiffness and pipe length induce different asymmetric equilibrium configurations. In the free vibration analysis, buckling and combined buckling-flutter behaviors can occur under varying linear and nonlinear joint stiffness. A nonlinear dynamic analysis is performed using the pseudo-arclength continuation method and a variable step-size Gear technique to study the nonlinear response. It is found that the pipe exhibits quasi-periodic behavior with increasing flow velocity and excitation amplitude. In the near-internal-resonance region, the dual-peak responses become complex with the breaking of the hardening and softening characteristics. The linear joint stiffness at the left and middle boundaries only affects the hardening and softening behaviors of the first or second primary resonance, but the nonlinear ones can change the first and second primary resonance responses simultaneously.