I. Introduction
Piezoelectric actuators are used in a wide range of positioning applications such as micro-manipulating [1], vibration control [2], and Atomic Force Microscopy [3]. Piezoelectric benders are a sub-type that are widely used in industrial and commercial applications. [4]. Bender actuators can primarily be classified as either pinned benders or bonded benders. Disk benders are an example of a pinned type bender [5], [6]. They consist of one or two circular piezoelectric elements glued to a non-piezoelectric layer. The outer edge of the disk is pinned to a stationary base while an electric field is applied to the bender developing a net displacement and force at the center of the disk.