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Piezoelectric ceramics are widely used in a variety of devices such as ultrasonic transducers, piezoelectric transformers, piezoelectric step motors and frequency control circuits. Uniformly poled piezoelectric discs (UPDs) are the simplest configurations used for transducers, and so their vibration characteristics are well known. On the other hand, some authors have employed non-uniformly poled discs (NUPDs) in applications like ultrasonic beam control. However, theoretical NUPDs behavior is still poorly studied. In this contribution, we present a model for radial modes description in a NUPD disc.