Determination of electrical impedance of piezoceramic disk and its calculation in low-frequency region
Abstract
The final goal of mathematical modeling of physical condition of vibrating piezoelectric elements is a qualitative and quantitative description of characteristics and parameters of existing electrical and elastic fields. It is clear that to obtain meaningful and reliable quantitative estimates of physical condition parameters of piezoelectric (piezoceramic) element is not possible without reliable data on the values of physical and mechanical constants of the materials. Thus, it is necessary to build noncontradictory method of material constants experimental determination of piezoelectric ceramics, which delivers reliable values of at least three modules of elasticity, two elements of the matrix of piezoelectric coefficients and one element of the matrix of dielectric constants, which is the purpose of the work. The main results of this paper can be written as follows: – at sufficiently general initial assumptions a mathematical description of electrical impedance of oscillating thin piezoceramic disk with end surfaces continuous covering by electrodes in vacuum is obtained; – it has been shown that electrical impedance of the disk is determined by average values of axial and radial components of material particles displacement vector of deformed piezoceramics; – the evaluation of electrical impedance of piezoceramic disk at low frequencies is completed, when persistence mode (equal to zero) of mechanical stresses in an oscillating disk volume is realized
Keywords
thin disk, piezoelectric ceramics, electrical impedance, radial and axial components of vector of piezoceramic material particles displacement
References
- Blistanov,A.A., Bondarenko,V.S., Chkalova,V.V., et al. (1982). Acoustic Crystals: Handbook (M.P. Shaskolskaya, Ed.). Moscow: Nauka.
- Bogdanov,S.V. (1997). Determination of elastic and piezoceramic constants of orthorhombic crystals using the acoustic method. Acoustical Journal, 43(3), 304.
- Bogdanov,S.V. (2000). Acoustic method for determining elastic and piezoelectric constants of 6mm and 4mm class crystals. Acoustical Journal, 46(5), 609.
- Cady,W.G. (1949). Piezoelectricity: An Introduction to the Theory and Applications of Electromechanical Phenomena in Crystals. Moscow: Foreign Literature Publishing House.
- Didkovsky,V.S., Petrishchev,O.N., & Shablatovich,A.N. (2004). On the determination of physical-mechanical constants of piezoceramic materials. Electronics and Communications, 22, 76–87.
- Ganopolsky,V.V., Kasatkin,B.A., & Legusha,F.F., et al. (1984). Piezoelectric Ceramic Transducers: Handbook. Leningrad: Sudostroenie.
- Grinchenko,V.T., Ulitko,A.F., & Shulha,N.A. (1989). Mechanics of Coupled Fields in Structural Elements. Vol. 5: Electroelasticity. Kyiv: Naukova Dumka.
- Kharkevich,A.A. (1973). Selected Works (Vol. 1). Moscow: Nauka.
- Lyamov,V.E. (1983). Polarization Effects and Anisotropy of Acoustic Wave Interaction in Crystals. Moscow: Moscow University Press.
- Nowacki,W. (1975). Theory of Elasticity. Moscow: Mir.
- Nowacki,W. (1986). Electromagnetic Effects in Solids. Moscow: Mir.
- Parton,V.Z., & Kudryavtsev,B.A. (1988). Electromagnetoelasticity of Piezoelectric and Electrically Conductive Bodies. Moscow: Nauka.
- Petrishchev,O.N. (2012). Harmonic Vibrations of Piezoceramic Elements. Part 1: Vibrations in Vacuum and Resonance–Antiresonance Method. Kyiv: Avers.
- Petrishchev,O.N., & Bazylo,K.V. (2015). Principles and methods of calculating transfer characteristics of disk-shaped piezoelectric transformers. Part 1: Principles of mathematical modeling of transformers operating in planar axisymmetric vibrations of piezoceramic disks. Bulletin of Cherkasy State Technological University, (3), 10–20.
- Petrishchev,O.N., & Bazylo,K.V. (2015). Principles and methods of calculating transfer characteristics of disk-shaped piezoelectric transformers. Part 2: Methodology for calculating parameters and characteristics of a basic disk piezoelectric transformer. Bulletin of Cherkasy State Technological University, (4), 10–23.
- Shulha,N.A., & Bolkisev,A.M. (1990). Vibrations of Piezoelectric Bodies. Kyiv: Naukova Dumka.