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TMM60-50-10LA Datasheet(PDF) 7 Page - NEC |
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TMM60-50-10LA Datasheet(HTML) 7 Page - NEC |
7 / 31 page 2010.03.19 9307PIEVOL04E ●All specifications in this catalog and production status of products are subject to change without notice. Prior to the purchase, please contact NEC TOKIN for updated product data. ●Please request for a specification sheet for detailed product data prior to the purchase. ●Before using the product in this catalog, please read "Precautions" and other safety precautions listed in the printed version catalog. Piezoelectric Ceramics Vol.04 7 3) Relative dielectric constant When the electric flux density caused by applying an electric field E between electrodes of a transducer under a constant stress is regarded as D, the relative dielectric constant is obtained by dividing the constant, defined by D/E= εT, by the vacuum dielectric constant ε0. This relative dielectric constant is expressed by εT33/ε0when the direction of polarization and applied electric field are the same; it is expressed by εT11/ε0 when these directions are perpendicular. Calculation of relative dielectric constant is shown in Eq. 11. Static capacitance is usually measured at 1kHz using an all-purpose bridge or a C meter. ( εT11/ε0 is also calculated using the same equation.) Where ε0 : Relative dielectric constant in vacuum (8.854x10 -12 F/m) t : Distance between electrodes (m) S : Electrode area (m 2) C : Static capacitance (F) E P E P Fig.1-8 Where Kr : Electromechanical coupling coefficient for radial vibration K31: Electromechanical coupling coefficient for lengthwise vibration K33: Electromechanical coupling coefficient for longitudinal vibration Kt : Electromechanical coupling coefficient for thick- ness vibration K15: Electromechanical coupling coefficient for shear vibration fr : Resonant frequency [Hz] fa : Antiresonant frequency [Hz] εε ε 33 0 0 T tC S / = εε 11 0 T / εε 33 0 T / · · · · · · · · · · · · · · · · · · · · · · · · · · · (11) · · · · · · · · · · · · · · · · (8) · · · · · · · · · · · · · · · · (9) · · · · · · · · · · · · · · · (10) K fr fa fr fa Kt fr fa fr fa K fr fa fr fa =⋅ ⎛ ⎝ ⎞ ⎠ ⋅ ⎛ ⎝ ⎞ ⎠ =⋅ ⎛ ⎝ ⎞ ⎠ ⋅ ⎛ ⎝ ⎞ ⎠ =⋅ ⎛ ⎝ ⎞ ⎠ ⋅ ⎛ ⎝ ⎞ ⎠ 22 22 22 33 15 cot cot cot ππ ππ ππ 4) Young's modulus For different modes of vibration, Young's modulus is calculated by Eq. 12, based on the sonic velocity and density of the material. Where ρ: Density (kg/m3) ν(=2fr ): Sonic velocity (m/sec.) N: Newton 5) Mechanical Q The mechanical Q is the "sharpness' of mechanical vibration at resonant frequency, and is calculated with Eq 13. Where fr : Resonant frequency (Hz) fa : Antiresonant frequency (Hz) Zr : Resonant resistance ( Ω) C : Static capacitance (F) Where a simpler method is called for, mechanical Q may be calculated with Eq. 14, using frequencies f1 and f2 which are each 3 dB from the resonant frequency. The values shown for material characteristics in this catalog are calculated using Eq. 13. 6) Piezoelectric constant There are two types of piezoelectric constants, the piezoelectric strain constant and the coefficient of voltage output. a) PiezoeIectric strain constant This is a measure of the strain that occurs when a specified electric field is applied to a material that is in the condition of zero stress. This constant is calculated with Eq. 15. Where k : Coefficient of electromechanical coupling εT : Dielectric constant Y E : Young's modulus (Newton/m2) Qm fr ff = − 12 dk Y mV T E = ( ) ε / YN m E = [] ρν22 / Qm fa fr = − 2 2 2 fr Zr C(fa 2 π ) · · · · · · · · · · · · · · · · · · · · · · (12) · · · · · · · · · · · · (13) · · · · · · · · · · · · · · · · · · · · · · · · · · (14) · · · · · · · · · · · · · · · · · · · · · · · (15) e rive field ctrode is olarization. t is on (Hz-m) ibration vibration ibration n (Hz-m) er (m) Hz-m) cylinder (m) coupling ing repre- n a ceramic input. This dividual r fm) and applicable · · · · · · (6) · · · · · · (7) |
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