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Abstract The thesis applies the graphical method for the determination of the frequency response of a closed loop servomechanism including two nonlinear elements in series. The describing functions of the nonlinear elements depend on both frequency and amplitude of their anputs. One of the problems considered is a push-pull magnetic amplifier and a two-phase servomotor connected in series. Other problem is ideal saturated amplifier and the same two-phase servomotor. The third problem is a two-phase servomotor coupled to a gear train containing backlash. A new method is developed to represent th~ saturation curve by condsidering it to be composed of ”n” number of straight line segments and the describing function of the saturation curve of the ~agnetic amplifterhas been derived and applied to the systems mentioned above. Phase plane techniques have been also used to study the stability and transient response of the system containing a linear amplifier and a two phase servomotor whose characteristics are nonlinear. The thesis includes experimental results on addition to analytical results obtained by a digital computer programs based on the graphical method. A reasonable coUicidence of the results obtained analytically from digital computer program and the graphical method was achieved. It is concluded that the frequency reEponse, of a closed loop system having two nonlinear elements, is obtained easier and more accurate using the describing functions which are developed in this thesis. |