Mechanical energy transductions in standing wave ultrasonic motors: Analytical modelling and experimental investigations |
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| Affiliation: | 1. Department of Mechanical Engineering, The NEMS and Nano-Materials Laboratory, Ben-Gurion University of the Negev, Beer-Sheva, Israel;2. Mechanosynthesis Group, Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA;3. Department of Mechanical Engineering and Laboratory for Manufacuring and Productivity, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;1. Department of Trauma, Hand and Reconstructive Surgery, University Medical Center Hamburg-Eppendorf, Martinistrasse 52, 20246 Hamburg, Germany;2. Institute of Forensic Medicine, University Medical Center Hamburg-Eppendorf, Martinistrasse 52, 20246 Hamburg, Germany;1. Key Laboratory of High-efficiency and Clean Mechanical Manufacture, Ministry of Education, School of Mechanical Engineering, Shandong University, Jinan, Shandong 250061, China;2. Suzhou Institute of Shandong University, Suzhou 215123, China;3. Key Laboratory of Precision Microelectronic Manufacturing Technology and Equipment of Ministry of Education, Guangdong University of Technology, Guangzhou 510006, China;4. Key Laboratory for Liquid-Solid Structural Evolution and Processing of Materials (Ministry of Education), School of Materials Science and Engineering, Shandong University, Jinan 250061, China;1. Faculty of Science and Technology, Free University of Bozen-Bolzano, Piazza Università 5, 39100 Bozen-Bolzano, Italy;2. Department of Management and Engineering (DTG), Università degli Studi di Padova, Stradella S. Nicola 3, 36100 Vicenza, Italy |
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| Abstract: | The present work deals with experimental and theoretical analyses of mechanical energy transductions in standing wave ultrasonic motors. A piezoelectric translator prototype previously developed is tested with regard to both out-of-plane and tangential mechanical behaviours. Influences of the vibration amplitude, the normal pre-load and the dynamic friction coefficient at the stator/frame interface are pointed out through the acquisition of speed-driving force characteristics. In the main part of the article, theoretical approaches assuming the decoupling of the out-of-plane and tangential behaviours are proposed: the `complete' model takes into account transient phenomena and tangential inertia effects, and the `simplified' model supposes that the steady state is achieved. In both models, equivalent mass-spring systems allow the intermittent stator/frame contact to be characterized with regard to the vibration amplitude and the normal pre-load. Successive contact and flight periods are clearly shown. During contact periods, the sequences of stick-slip phases are at the origin of the driving mechanism. They are theoretically discriminated through the study of their behaviour equations. Finally, experimental and theoretical data fitting proves the validation of analytical analyses and allows the future optimization of standing wave ultrasonic motors to be envisaged. |
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