The nonlinear oscillations of fluid conveying pipes under parametric and external excitations were researched. The nonlinear governing equation of motion for the cantilevered pipes conveying pulse fluid with onesided harmonic external force was obtained by using the Hamilton principle, in which the nonlinear geometric deformation of the pipe was only considered. The method of multiple scales and Galerkin method were employed to transform the partial differential governing equation of motion to the average equations in the case of the principal parametric resonance1/2 subharmonic resonance and 1:2 internal resonance. The results of numerical simulation indicate that there exist the periodic motion and chaotic motion in the conveying fluid pipes under parametric and external excitation.
席红敏,张伟,姚明辉.变流速输液管的周期和混沌振动[J].动力学与控制学报,2008,6(3):243~248; Xi Hongmin, Zhang Wei, Yao Minghui. Periodic and chaotic oscillations of the fluid conveying pipes with pulse fluid[J]. Journal of Dynamics and Control,2008,6(3):243-248.