非対称型圧電バイモルフの電気音響的諸定数
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概要
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An electroacoustical calculation was made of bending distrotion of an asymmetric piezoelectric bimorph, considering the space charge effect(piezoelectric interaction) proposed by Marutake. In determining the neural plane, such an extensional strain as to permit a lengthwise displacement of each cross section but make no contribution to bending moment must be taken into account. This additional strain is proportional to applied voltage, and vanishes in the case of symmetric bimorph or of ignoring the space charge effect. The position of neutral plane was thus determined, and the neutral plane retains the position where V=0. Displacement and charge of a statically bent bimorph with one end clamped were calculated against applied voltage and force. The "bending-clamped" capacitance C^<BC> is equal to the sum of C^<LC> for lengthwise-clamping and C^<LF> due to to the above additional extensional strain. The electromechanical coupling coefficient of bending mode can be befined as k_B^2=(C^<BF>-C<BC>)/(C^<BF>), C^<BF> being a "bending-free" capacitance. It may be fairly concluded from the comparison of the electroacoustic constant thus calculated with that calculated by ignoring the space charge effect that taking this effect into account only brings a modification of the compliance to bending. Calculations of bending vibrations piezoelctrically driven were carried out under various boundary conditions. Piezoelectric admittances were examined, and their relations to equivalent circuit for resonance were considered. Free admittances of clamped-pinned and pinned-pinned beams were the same as damped admittances of clamped-free and free-free ones respectively. In the low frequency limit, static piezoelectric charges and accordingly coupling coefficient were in agreement with those determined by static calculation. Values for clamped-free, free-free and pinned-pinned beams were a fourth of these. In the case of clamped-free beam, the result applied to symmetric bimorph was the same as that reported by Marutake.
- 社団法人日本音響学会の論文
- 1967-09-30
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