(b)
圖22 Shaker(6.5V)激振單層壓電試片實驗量測 DC 訊號結果(a)全電極模式(b)上下電極模式
Mode
Mode Shape
AF-ESPI (W) FEM (W)
1022HZ (16.71) 50mV
1227.3HZ 4
2276HZ (-0.49) 190mV
2265.0HZ 5
3531HZ (-5.97) 450mV
4624HZ (-0.41) 1100mV
4605.5HZ 8
5815HZ (-6.78) 1400mV
5446.7HZ 9
6815HZ (2.13) 6200mV
6963.5HZ 10
7840HZ (0.81) 7000mV
7904.4HZ 11
8895HZ (-8.52) 7500mV
8197.3HZ 12
10115HZ 13
11041HZ (3.31) 50V
11419HZ 14
11580HZ 15
12350HZ (-3.96) 30V
11880HZ
圖23 單層壓電陶瓷平板之電激振與振動器激振的面 外振動資訊
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
增益(Vout/Vin)
共振頻率之模態
full slit
圖24 單層壓電陶瓷平板全電極與上下電極模式之 DC 比較
圖25 Shaker(800、1000mV)激振 PBP 實驗量測 AC 訊號結果(0-3KHz)
圖26 Shaker(4、5V)激振 PBP 實驗量測 AC 訊號結 果(3-10KHz)
圖27 Shaker(800、1000mV)激振 SBP 實驗量測 AC 訊號結果(0-3KHz)
圖28 Shaker(4、5V)激振 SBP 實驗量測 AC 訊號結 果(3-10KHz)
圖29 Shaker(800、1000mV)激振 PBP 實驗量測 DC 訊號結果(0-3KHz)
圖30 Shaker(4、5V)激振 PBP 實驗量測 DC 訊號結 果(3-10KHz)
圖31 Shaker(800、1000mV)激振 SBP 實驗量測 DC 訊號結果(0-3KHz)
圖32 Shaker(4、5V)激振 SBP 實驗量測 DC 訊號結 果(3-10KHz)
圖33 Shaker(1V)激振 PBP 實驗 Power meter 量測訊 號結果(0-2KHz)
圖34 Shaker(1V)激振 SBP 實驗 Power meter 量測訊 號結果(0-2KHz)
AF-ESPI Out-of-plane Vibration Electricity Shaker Mode
Shape
Freq., Hz 75 96 1
volts 0.05 0.005 Mode
Shape
Freq., Hz 315 2
volts 0.01
Mode Shape
Freq., Hz 477 562 3
volts 0.05 0.005 Mode
Shape
Freq., Hz 1028 4
volts 0.06
Mode Shape 5
Freq., Hz 1329 1576
volts 0.08 0.05
AF-ESPI Out-of-plane Vibration Electricity Shaker Mode
Mode Shape
Freq., Hz 3200 3480 10
volts 40 1.5
Mode Shape
Freq., Hz 3555 3850 11
volts 25 1.5
Mode Shape
Freq., Hz 4436 4480 12
volts 15 5
Mode Shape
Freq., Hz 5020 5100 13
volts 25 7
Mode Shape
Freq., Hz 6530 6630 14
volts 20 20
Mode Shape
Freq., Hz 7050 15
volts 20
Mode Shape
Freq., Hz 7210 16
volts 30 Mode
Shape
Freq., Hz 7950 17
volts 90 Mode
Shape
Freq., Hz 8469 18
volts 50 Mode
Shape
Freq., Hz 8630 19
volts 20
Mode Shape
Freq., Hz 9230 20
volts 15 Mode
Shape
Freq., Hz 9530 21
volts 20
圖36 串聯型壓電雙晶片以並聯電極連接型式之電激 振與振動器激振的面外振動資訊
參考文獻 Piezoelectricity-evolution and future of a technology. Springer, 2008.
[4] IEEE standard on piezoelectricity. IEEE Ultrasonics Ferroelectrics and Frequency Control Society, ANSI/IEEE Std 176-1987.
[5] Tiersten, H.F., Linear Piezoelectric Plate Vibrations. New York: Plenum, 1969.
[6] Tzou H.S., Piezoelectric shells: distributed sensing and control of continua. Kluwer Academic Publishers, 1993.
[7] Butters, J.N. and Leendertz, J.A.,“Speckle pattern and holographic techniques in engineering metrology,” Optics and Laser Technology, 3(1), 1971, pp. 26-30.
[8] Hgmoen K. and Lkberg O.J., “Detection and measurement of small vibrations using electronic speckle pattern interferometry,” Applied Optics, 16(7), 1977, pp. 1869-1875.
[9] Nakadate S., Saito H. and Nakajima T.,
“Vibration measurement using phase-shifting stroboscopic holographic interferometry,” Journal of Modern Optics, 33(10), 1986, pp. 1295-1309.
[10] Ma C.C. and Huang C.H., “Experimental and numerical analysis of vibrating cracked plates at resonant frequencies,” Experimental Mechanics, 41(1), 2001, pp. 8-18.
[11] Ma C.C. and Huang C.H., “Experimental full field investigations of resonant vibrations for piezoceramic plates by an optical interferometry method,” Experimental Mechanics, 42(2), 2002, pp. 140-146.
[12] Lee C.K. and Wu G.Y., “High performance doppler interferometer for advanced optical storage systems,” Japanese Journal of Applied Physics, 38(3B), 1999, pp. 1730-1741.
[13] Ma C.C., Lin H.Y., Lin Y.C. and Huang Y.H.,“Experimental and numerical investigations on resonant characteristics of a single-layer piezoceramic plate and a cross-ply piezolaminates composite plate,” Journal of the Acoustical Society of America, 119(3), 2006, pp.
1476-1486.
[14] Cady W.G., Piezoelectricity. McGraw-Hill Book Co. Inc., New York, 1946.
[15] Mason W.P., Piezoelectric crystals and their application to ultrasonics. New York: Van Nostrand, 1950.
[16] A. Erturk, P. A. Tarazaga, J. R. Farmer, D. J.
Inman, “Effect of Strain Nodes and Electrode Configuration on Piezoelectric Energy Harvesting From Cantilevered Beams”, Journal of Vibration and Acoustics, Vol. 131, FEBRUARY 2009.
[17] Chen-Pang Chen, Chi-Hung Huang, Yi-Yu Chen,
“Vibration analysis and measurement for piezoceramic rectangular plates in resonance”, Journal of Sound and Vibration 326, pp. 251–262, 2009.
[18] Anastasiia Krushynska, Viatcheslav Meleshko, Chien-Ching Ma, and Yu-Hsi Huang, “Mode Excitation Efficiency for Contour Vibrations of Piezoelectric Resonators”, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 58, no. 10, pp.2222-2238, October 2011.
[19] Wang S.Y., “A finite element model for the static and dynamic analysis of a piezoelectric bimorph,” International Journal of Solids and Structures, 41, 2004, pp. 4075-4096.
[20] Ma C.C., Lin Y.C., Huang Y.H. and Lin H.Y.,“Experimental measurement and numerical analysis on resonant characteristics of cantilever plates for piezoceramic bimorphs,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 54(2) , 2007, pp. 227-239.
[21] Wang W.C., Hwang C.H. and Lin S.Y.,
“Vibration measurement by the time-averaged electronic speckle pattern interferometry methods,” Applied Optics, 35(22), 1996, pp.
4502-4509.
[22] Wykes C., “Use of electronic speckle pattern interferometry (ESPI) in the measurement of static and dynamic surface displacements,”
Optical Engineering, 21, 1982, pp. 400-406.
[23] Hibbeler R.C., Mechanics of materials. 3rd edition, Prentice Hall Press, 1997.
[24] Henry A. Sodano, Daniel J. Inman and Gyuhae Park, “Comparison of Piezoelectric Energy Harvesting Devices for Recharging Batteries,”
Journal of Intelligent Material Systems and Structures, 2005.
[25] M.J. Guan and W.H. Liao, “Characteristics of Energy Storage Devices in PiezoelectricEnergy Harvesting Systems,” Journal of Intelligent Material Systems and Structures, 2007.
[26] Kimberly Ann Cook-Chennault, Nithya Thambi, Mary Anne Bitetto and E.B. Hameyie,
“Piezoelectric Energy Harvesting A Green and Clean Alternative for Sustained Power Production,” Bulletin of Science Technology &
Society, 2008.
[27] Christopher A Howells, “Piezoelectric energy harvesting,” Energy Conversion and Management, 50, 2009.