Pipelines conveying pulsating fluids are prone to complex vibration phenomena that may compromise their structural stability and reduce their service life. This study investigates the nonlinear dynamic behavior of a simply supported pipeline conveying a fluid with time-dependent velocity. Both the uncontrolled configuration and the configuration equipped with a vibration controller are considered. The governing equations are derived using the generalized Hamiltonian variational principle, Euler–Bernoulli beam theory, and von Kármán nonlinear strain–displacement relations. The critical mean flow velocities associated with the first and second vibration modes are determined, and their influence on the temporal displacement response of the pipeline is analyzed. A nonlinear energy sink is then introduced as a passive vibration control device to reduce the transverse vibration amplitude of the system. The results show that […] Read more at https://mjcellpress.com/article/mjes15/