It is established that the vibrations of a rotating shell excite the vibrations of the whole system consisting of a cylindrical shell, an electric motor, and a reducer on a common elastic base. It is shown that the vibrational accelerations excited by two different methods approach each other when the angle of the shell axis changes Experimental studies into the dynamic behavior of thin shells of revolution are elucidated is a great many publications, which are reviewed in, e.g., [2,4,8]. It follows from these reviews that the vibrations of rotating shells with added masses have been poorly investigated. In this connection, there is a need for further research into the vibrations of cylindrical shells.Here we discuss the results from an experimental investigation of the effect of point added masses on the natural frequencies of a rotating shell depending on the angle of its axis during resonant vibrations excited with an electrodynamic vibrator.1. The test subject is a fiberglass cylindrical shell of radius R = 16 cm, length L = 90 cm, and thickness h = 0.8 mm with three equal weights Ì 1 , Ì 2 , and Ì 3 , 0.34 kg each. The weights, each having the form of a cylinder with a length of 10.5 cm and a diameter of 23 mm, are evenly spaced along the circumference of the shell at a distance of 3 cm from the upper end. First, the natural frequencies of the shell were determined by the resonance method. Then the shell was inserted by the lower end into circular slots in steel disks filled with Wood metal melt, the upper end remaining free. The disk was fixed to a massive base.To examine the effect of the weights on the minimum natural frequency of the shell-weights system, we used the technique described in [5][6][7]. Vibrations were excited with a vibrator. Its mobile coil, 5.32 g in mass, was attached at the midsection of the shell and oriented in the plane passing through the axes of the shell, one of the weights, and the coil. The natural frequencies of the shell were determined from measured amplitudes À 1 and accelerations à 1 of its free end. The accelerations were measured with a D14 transducer and a vibration meter. The natural frequency f ex as a function of the number of circumferential modes n is shown in Fig. 1. Table 1 collects experimental minimum natural frequencies f min for n = 3 and m = 1 (n is the number of circumferential waves, and m is the number of meridional half-waves). The vibration modes at distances 0.5L, 0.75L, and L from the lower end of the shell were determined by measuring amplitudes at thirty evenly spaced points along the circumference with a noncontact transducer by the method outlined in [5][6][7]. In addition, vibration modes were observed visually. Figure 2a, b, c shows vibration modes in the sections L, 0.75L, and 0.5L, respectively. The arrow indicates the point of application of the exciting force, and the open circles show the weights (the force is applied in the mid-section of the shell).An analysis of the results reveals that the attached weights increase the number of half-wa...