Аннотация:Abstract—The flutter of a cylindrical shell of finite length, a non-axisymmetric case, is under consideration. A modern algorithm without saturation is presented, specific calculations are considered that have demonstrated its high efficiency. It is demonstrated also that the critical flutter speed has a weak dependence on the number of circumferential waves. DOI: 10.3103/S1068799824010239 Keywords: cylindrical shell, eigenvalue problems, numerical algorithm without saturation, flutter.