Abstract: This paper deals with the stability and parametric resonances of a pinned-pinned pipe conveying pulsatingfluid. The criterion of stability of the pipe is derived with the method of averaging. According to the criterion the effect of the physical parameters of the system on the regions of the three parametric resonances has been discussed.The amplitude-frequency response curves and their frequency properties of the parametric resonances are investigatedby using the method of numerical analysis. The results obtained show that several motions may occur in the region ofcombination resonance, including two kinds of quasi-periodic vibrations and combined periodic motion. Since thesubharmonic resonance curve of the first mode extends as far as the region of combination resonance, there are someparameter regions in which several motions including the first mode subharmonic vibration, quasi-periodic vibrationand combined periodic motion may occur corresponding to the same frequency of the pulsating flow.

Key words: pinned pinned pipe, stability, parametric resonance, pulsating fluid, quasiperiodic motion