Abstract
This paper deals with the nonlinear dynamics of a cantilever pipe with the end mass, in which there is a pulsating flow. The mean flow is slightly over the critical value at which the pipe vibration is self-excited due to the internal flow. The pulsating component of the internal flow is assumed to be small and harmonic with the frequency near twice that of the excitation. The complex amplitude equation is derived using Lyapnov-Schmidt Reduction. In order to clarify the effect of a pulsating flow on the lateral vibration of the pipe, the steady-state amplitude and phase are expressed as a function of the frequency and the amplitude of the pulsating flow.
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