Abstract In this study, a coupling model of fluid-conveying pipes made functionally graded materials (FGMs) with NiTiNOL-steel (NiTi-ST) for vibration absorption is investigated. The responses the FGM pipe NiTi-ST are studied by Galerkin truncation method (GTM) and harmonic balance (HBM). solutions numerical results consistent. Also, linearized stability structure determined. effects parameters...