<p>This paper considers the passive vibration control and stability analysis of a fluid-conveying pipe under impact loading with different boundary conditions using a combination of optimized tuned mass dampers (TMD) and inerter-enhanced nonlinear energy sinks (NES). The impact load is approximated as a harmonic load, and its parameters are estimated based on nonlinear Hertz theory. Governing equations are derived and solved using Galerkin method. Optimum absorbers parameters are achieved by minimizing the settling time and peak overshoot for each boundary condition employing decomposition method, PSO and BOA. A sensitivity analysis is performed to observe the effect of different parameters on the frequency response of the system. A stability analysis is also conducted to observe the effects of employed absorbers and impact force on the critical velocity of fluid. Finally, a comparison was made between placing TMD at the end of the cantilever pipe and the optimum place found by PSO. Results depict that combination of TMD and NES can perfectly reduce vibration of the pipes with different boundary conditions under the impact loading. Optimization results represent that pipe with fixed–fixed boundary condition requires higher absorbers stiffness, damping and mass, while a simply supported pipe requires lower parameters and the cantilever pipe requires the lowest. The sensitivity analysis manifests that by increasing the impact velocity, the amplitude of frequency response of the simply supported and cantilever pipes increases. Increasing the fluid velocity causes a change in both amplitude and frequency of the response of pipe with different boundary conditions.</p>