FORCED VIBRATION OF A CANTILEVERED FLUID-CONVEYING PIPE ON NONLINEAR ELASTIC FOUNDATION
Zhang Zi-long, Tang Min, Ni Qiao
1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P.R. China2. Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan 430074, P.R. China
Abstract：The nonlinear dynamics of a cantilevered fluid-conveying pipe rested on nonlinear elastic foundation under harmonic excitation is studied by using Galerkin method. The shear effect, nonlinear stiffness and viscous damping of foundation are considered. The contributions of foundation excitation frequency and shear stiffness on the dynamic response of system are discussed. The results demonstrate that the pipe system has complex response with the variation of foundation excitation. Periodic motions, quasi-periodic and chaotic motions can be observed. With increasing of the shear stiffness, the regions of quasi-periodic and chaotic motions decrease. The system undergoes period motion in the chosen parametric region of foundation excitation when the shear stiffness is large enough.
2013, Vol. 32 
