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Rotation sensitivity of waves propagating in a rotating piezoelectric plate
Institution:1. Department of Engineering Mechanics, University of Nebraska, Lincoln, NE 68588, USA;2. Department of Mechanical Engineering, University of California, Riverside, CA 92521-0425, USA;1. Science Center in Chernogolovka, 142432 Chernogolovka, Russia;2. National Research University Higher School of Economics, 101000 Moscow, Russia;3. Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia;4. Moscow Institute of Physics and Technology, 141700 Moscow, Russia;1. Department of Industrial Engineering, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, Italy;2. N.N. Semenov Institute of Chemical Physics, Russian Academy of Sciences RAS, Ulica Kosygina 4, 119991 Moscow, Russia;3. Department of Engineering “Enzo Ferrari”, University of Modena and Reggio Emilia, Via Pietro Vivarelli 10/1, 41125 Modena, Italy;1. Space Research Institute of Russian Academy of Science, 84/32, Profsoyuznaya str., Moscow, 117997, Russia;2. Moscow Institute of Physics and Technology (State University), 9 Institutskyi per., Dolgoprudny, Moscow Region, 141700, Russia;1. IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal;2. Instituto de Telecomunicações, Portugal
Abstract:The rotation effect on the characteristics of waves propagating in a piezoelectric plate is studied in the framework of linear piezoelectricity including Coriolis and centrifugal forces. The rotation sensitivity of the wave dispersion relations is analyzed in details for polarized ceramic plates and for the lowest thickness-shear and the lowest thickness-twist waves because of the particular importance of these modes for gyroscope applications. The analysis shows that the frequency shifts monotonically with the increasing rotation rate and the rotation sensitivity of long waves is substantially greater than that of short waves. Generally, plates with shorted electrode surfaces have higher rotation sensitivity than plates with free-charge surfaces. For long waves and for small rotation rate relative to the wave frequency, the frequency shifts with rotation rate, linearly for plates with shorted electrode surfaces and nonlinearly with a nearly flat initial tangent for plates with free-charge surfaces. These rotation sensitivity characteristics are of interest for the development of rotation sensors and other piezoelectric devices for which frequency insensitivity to rotation is desired.
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