This study proposes and analyzes a novel inertial type piezoelectric locomotion method that can achieve bi-directional motion with a single piezoelectric element under a symmetrical sawtooth wave. In a stepwise approach, the dynamic responses of the guide at valley/peak points and rising/falling phases are different, and can be transformed into forward or backward stepping motion of a slider via friction by adjusting the driving frequency. A dynamic model is established and a compact prototype is developed to better understand this novel locomotion method. Simulations and a series of experiments verify that the proposed locomotion method can achieve reliable bi-directional motion under various conditions. Maximum velocities of 1.764 mm/s forward and 2.248 mm/s backward were achieved at frequencies of 300 Hz and 400 Hz, respectively. In addition, the stepping resolution was observed to reach 20 nm forward and 13 nm backward at respective frequencies of 175 and 350 Hz. The frequency-controlled locomotion method is outstanding in fast and fine actuation, and greatly simplifies the design and control of existing inertial type piezoelectric actuators.
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