{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:35:49Z","timestamp":1760243749311,"version":"build-2065373602"},"reference-count":13,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2012,11,2]],"date-time":"2012-11-02T00:00:00Z","timestamp":1351814400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper, a new piezoelectric dynamic balance regulator, which can be used in motorised spindle systems, is presented. The dynamic balancing adjustment mechanism is driven by an in-plane bending vibration from an annular piezoelectric stator excited by a high-frequency sinusoidal input voltage. This device has different construction, characteristics and operating principles than a conventional balance regulator. In this work, a dynamic model of the regulator is first developed using a detailed analytical method. Thereafter, MATLAB is employed to numerically simulate the relations between the dominant parameters and the characteristics of the regulator based on thedynamic model. Finally, experimental measurements are used to certify the validity of the dynamic model. Consequently, the mathematical model presented and analysed in this paper can be used as a tool for optimising the design of a piezoelectric dynamic balance regulator during steady state operation.<\/jats:p>","DOI":"10.3390\/s121114671","type":"journal-article","created":{"date-parts":[[2012,11,2]],"date-time":"2012-11-02T12:12:45Z","timestamp":1351858365000},"page":"14671-14691","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Modelling and Analysis of a New Piezoelectric Dynamic Balance Regulator"],"prefix":"10.3390","volume":"12","author":[{"given":"Zhe","family":"Du","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xue-Song","family":"Mei","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China"},{"name":"State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mu-Xun","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2012,11,2]]},"reference":[{"key":"ref_1","first-page":"264","article-title":"Continuous automatic balancing of rotating system","volume":"16","year":"1964","journal-title":"J. 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Contr."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"915","DOI":"10.1016\/S0020-7462(96)00112-6","article-title":"A note on the contact problem in an ultrasonic travelling wave motor","volume":"31","author":"Schmidt","year":"1996","journal-title":"Int. J. Non-Lin. Mech."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"031014:1","DOI":"10.1115\/1.4000380","article-title":"The contact problem in ultrasonic traveling-wave motors","volume":"77","author":"Sattel","year":"2010","journal-title":"J. Appl. 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