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Non-linear vibration of a piezoelectric beam contacting with a fixed disk
A conventional ultrasonic motor consists of a stator and a disk. the stator is ultrasonically excited by piezoelectric materials and this piezoelectrically stimulated mechanical oscillation is used to drive the disk via friction forces. An increasing amplitude of motion at the end of the resonator touching the disk tangentially was achieved by suitable tapering the resonator and through this a motor was build up for one direction of rotation with an efficiency of around 35 %. Non-linear vibrations of a cantilever piezoelectric beam in contact with a fixed disk are studied in this paper. The piezoelectric beam is excited to produce mechanical longitudinal oscillations by inverse piezoelectric effect of piezoceramics. The equations of motion describing the vibrations and contact forces are derived by Hamilton's principle and the geometry constraint. Finite element formulation is used to reduce the equations to a set of non-linear ordinary differential equations. The transient amplitudes and the contacting forces are simulated by the Runge-Kutta algorithm. The effects of piezoceramics, excitation of voltage and the frictional forces are investigated and discussed.
Non-linear vibration of a piezoelectric beam contacting with a fixed disk
A conventional ultrasonic motor consists of a stator and a disk. the stator is ultrasonically excited by piezoelectric materials and this piezoelectrically stimulated mechanical oscillation is used to drive the disk via friction forces. An increasing amplitude of motion at the end of the resonator touching the disk tangentially was achieved by suitable tapering the resonator and through this a motor was build up for one direction of rotation with an efficiency of around 35 %. Non-linear vibrations of a cantilever piezoelectric beam in contact with a fixed disk are studied in this paper. The piezoelectric beam is excited to produce mechanical longitudinal oscillations by inverse piezoelectric effect of piezoceramics. The equations of motion describing the vibrations and contact forces are derived by Hamilton's principle and the geometry constraint. Finite element formulation is used to reduce the equations to a set of non-linear ordinary differential equations. The transient amplitudes and the contacting forces are simulated by the Runge-Kutta algorithm. The effects of piezoceramics, excitation of voltage and the frictional forces are investigated and discussed.
Non-linear vibration of a piezoelectric beam contacting with a fixed disk
Nichtlineare Schwingung eines eine ortsfeste Scheibe berührenden piezoelektrischen, freitragenden Trägers
Fung, R.F. (author) / Huang, J.S. (author) / Chang, D.G. (author) / Yao, C.M. (author)
Journal of Sound and Vibration ; 219 ; 339-357
1999
19 Seiten, 8 Bilder, 2 Tabellen, 18 Quellen
Article (Journal)
English
Schwingung , Nichtlinearität , frei tragender Träger , Piezokeramik , Scheibe (Bauteil) , Erregung , Bewegungsgleichung , Kontaktkraft , Finite-Elemente-Methode , Differenzialgleichung , Amplitude , numerisches Verfahren , elektrische Spannung , Reibungskraft , piezoelektrisches Bauelement , Longitudinalschwingung , Runge-Kutta-Verfahren
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