中国物理B ›› 2013, Vol. 22 ›› Issue (6): 68103-068103.doi: 10.1088/1674-1056/22/6/068103

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

Effects of ramp vibrational states on flexural intrinsic vibrations in Besocke-style scanners

张辉, 蒋国珠, 刘朝群, 张淑仪, 范理   

  1. Laboratory of Modern Acoustics, Institute of Acoustics, Nanjing University, Nanjing 210093, China
  • 收稿日期:2012-09-06 修回日期:2012-12-18 出版日期:2013-05-01 发布日期:2013-05-01
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant No. 2012CB921504), the National Natural Science Foundation of China (Grant Nos. 11004099, 1174142, and 11274169), the Natural Science Foundation of Jiangsu Province of China (Grant No. BK2012721), the Fundamental Research Funds for the Central Universities (Grant No. 1126020435), and the Priority Academic Program Development of Jiangsu Higher Education Institutions.

Effects of ramp vibrational states on flexural intrinsic vibrations in Besocke-style scanners

Zhang Hui (张辉), Jiang Guo-Zhu (蒋国珠), Liu Zhao-Qun (刘朝群), Zhang Shu-Yi (张淑仪), Fan Li (范理)   

  1. Laboratory of Modern Acoustics, Institute of Acoustics, Nanjing University, Nanjing 210093, China
  • Received:2012-09-06 Revised:2012-12-18 Online:2013-05-01 Published:2013-05-01
  • Contact: Zhang Hui E-mail:paslabw@nju.edu.cn
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant No. 2012CB921504), the National Natural Science Foundation of China (Grant Nos. 11004099, 1174142, and 11274169), the Natural Science Foundation of Jiangsu Province of China (Grant No. BK2012721), the Fundamental Research Funds for the Central Universities (Grant No. 1126020435), and the Priority Academic Program Development of Jiangsu Higher Education Institutions.

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摘要： For both vibrating and steady supporting surfaces of a scanning disc in a Besocke-style piezoelectric scanner, a theoretical model is given by considering the nonlinear lateral friction at the micro-contact interface between the positioning legs and the supporting surface. Numerical simulations demonstrate that unexpected flexural vibrations can arise from a vibrating ramp, and their frequencies are lower than the eigenfrequencies of the scanner in the linearly elastic regime. The vibrations essentially depend on 1) the vibrational states of the supporting ramp and the steel ball tips on the three piezoelectric positioning legs and 2) the tribological characteristics of the contacts between the tips and the ramp. The results give insight into the intrinsic vibrations of the scanners, and are applicable in designing and optimizing piezoelectric scanning systems.

关键词: Besocke-style scanner, stick-slip behavior, flexural vibration, Timoshenko beam theory

Abstract: For both vibrating and steady supporting surfaces of a scanning disc in a Besocke-style piezoelectric scanner, a theoretical model is given by considering the nonlinear lateral friction at the micro-contact interface between the positioning legs and the supporting surface. Numerical simulations demonstrate that unexpected flexural vibrations can arise from a vibrating ramp, and their frequencies are lower than the eigenfrequencies of the scanner in the linearly elastic regime. The vibrations essentially depend on 1) the vibrational states of the supporting ramp and the steel ball tips on the three piezoelectric positioning legs and 2) the tribological characteristics of the contacts between the tips and the ramp. The results give insight into the intrinsic vibrations of the scanners, and are applicable in designing and optimizing piezoelectric scanning systems.

Key words: Besocke-style scanner, stick-slip behavior, flexural vibration, Timoshenko beam theory

中图分类号:  (Friction, lubrication, and wear)

  • 81.40.Pq
46.55.+d (Tribology and mechanical contacts) 07.79.Sp (Friction force microscopes)