Design and Trajectory Tracking of a Nanometric Ultra-Fast Tool Servo

• Published in: IEEE transactions on industrial electronics (1982) Vol. 67; no. 1; pp. 432 - 441
• Main Authors: Zhu, Zhiwei, Du, Hanheng, Zhou, Rongjing, Huang, Peng, Zhu, Wu-Le, Guo, Ping
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.01.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Beam theory (structures); Couplings; Curves; Driving conditions; Euler-Bernoulli beams; Fasteners; Finite element method; Flexing; Kinematics; Multiobjective optimization; nanometric ultra-fast tool servo (NM-FTS); piezo-actuated flexure mechanism; Servomotors; Shape; Stiffness; Strain; Tracking; Trajectories; trajectory preshaping
• ISSN: 0278-0046; 1557-9948
• DOI: 10.1109/TIE.2019.2896103

This paper reports on the development of a piezo-actuated nanometric ultra-fast tool servo (NU-FTS) for nanocutting. For motion guidance, a flexure mechanism is especially designed using a novel kind of generalized flexure hinges with the notch profiles described by a rational Bezier curve. Both kinematics and dynamics properties of the mechanism are comprehensively modeled through a novel finite beam modeling method. With this model, the hinge is divided into a set of serially connected beams with constant cross sections. The equivalent stiffness and lumped moving mass of the mechanism are derived based on the Euler-Bernoulli beam theory. Taking advantage of the structure and performance model, the notch shape as well as the dimensions are optimized to achieve the specified criteria for the NU-FTS. Performance of the designed mechanism is verified through both finite-element analysis and practical testing on a prototype. Overall, the NU-FTS is demonstrated to have a stroke of 6 and 1.2 <inline-formula><tex-math notation="LaTeX"> \mu </tex-math></inline-formula>m for the quasi-static and 10 kHz driving condition, respectively. Through dynamics inversion-based trajectory preshaping, a maximum following error around 25 and 50 nm is obtained for tracking a simple harmonic and a complicated trajectory, respectively.