The model of the 2–2 type cement-based piezoelectric sensor, which is connected with a resistor while under the impact mechanical load, is established in this article. The dynamic theoretical expressions are acquired by utilizing the separation variable method and the matrix coefficient method and then used to analyze and discuss the electrical properties and the influence of the resistance value, which is verified correctly by numerical analysis. Also, the effect of resistor value and different material parameters on dynamic properties of such sensor is further investigated. And a reverse voltage is proposed to balance the displacement of the free-end and the stress of the fixed-end to enhance the safety. At last, the acoustic impedance ratio associated with the compatibility of the composite is discussed. The conclusions discussed in this work could provide some theoretical references for optimizing the design of the 2–2 cement-based piezoelectric sensor connected to electrical components in practical application.
BeckAH (1964) The theory of electromagnetism. Electronics & Power10(6): 215.
2.
ChenJYQiuQWHanYL, et al. (2019) Piezoelectric materials for sustainable building structures: fundamentals and applications. Renewable and Sustainable Energy Reviews101: 14–25.
3.
DagdevirenCYangBDSuYW, et al. (2014) Conformal piezoelectric energy harvesting and storage from motions of the heart, lung, and diaphragm. Proceedings of the National Academy of Sciences of the United States of America111(5): 1927–1932.
FeenstraJGranstromJSodanoH (2008) Energy harvesting through a backpack employing a mechanically amplified piezoelectric stack. Mechanical Systems and Signal Processing22(3): 721–734.
6.
GolubGHPereyraV (1973) Differentiation of pseudo-inverses and nonlinear least-squares problems whose variables separate. SIAM Journal on Numerical Analysis10(2): 413–432.
7.
GreweMGGururajaTRShroutTR, et al. (1992) Acoustic properties of particle/polymer composites for ultrasonic transducer backing applications. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control25(3): 506–514.
8.
GudraTOpielińskiKJ (2002) Influence of acoustic impedance of multilayer acoustic systems on the transfer function of ultrasonic airborne transducers. Ultrasonics40(1): 457–463.
9.
HarrisCMPiersolAG (2002) Harris’ Shock and Vibration Handbook. New York: McGraw-Hill.
10.
HassaniS (2000) Dirac delta function. In: HassaniS (ed.) Mathematical Methods. Undergraduate Texts in Contemporary Physics. New York: Springer, pp. 289–319.
11.
HuangSFXuDYChangJ, et al. (2007) Influence of water-cement ratio on the properties of 2-2 cement based piezoelectric composite. Materials Letters61(30): 5217–5219.
12.
JaitanongNYimnirunRZengHR, et al. (2014) Piezoelectric properties of cement based/PVDF/PZT composites. Materials Letters130: 146–149.
13.
KangIPSchulzMJKimJH, et al. (2006) A carbon nanotube strain sensor for structural health monitoring. Smart Materials and& Structures15(3): 737–748.
14.
KumarAChauhanVSKumarR, et al. (2018) Electromagnetic radiation detection in 0-3 cement-PZT composite under impact loading. Integrated Ferroelectrics192(1): 67–79.
15.
Lezgy-NazargahMSaeidi-AminabadiSYousefzadehMA (2019) Design and fabrication of a new fiber-cement-piezoelectric composite sensor for measurement of inner stress in concrete structures. Archives of Civil and Mechanical Engineering19(2): 405–416.
LuYYLiZJLiaoWI (2011a) Damage monitoring of reinforced concrete frames under seismic loading using cement-based piezoelectric sensor. Materials and Structures44(7): 1273–1285.
18.
LuYYLiZJQinL (2011b) Signal-based acoustic emission monitoring on mortar using cement-based piezoelectric sensors. ACI Materials Journal108(2): 178–186.
19.
LuYYZhangJRLiZJ, et al. (2013) Corrosion monitoring of reinforced concrete beam using embedded cement-based piezoelectric sensor. Magazine of Concrete Research65(21): 1265–1276.
20.
LuoJLYouCLZhangS, et al. (2017) Numerical analysis and optimization on piezoelectric properties of 0-3 type piezoelectric cement-based materials with interdigitated electrodes. Applied Sciences7: 233–243.
21.
MathewsJWalkerRL (1964) Mathematical Methods of Physics. New York: W. A. Benjamin.
22.
PanciroliRPorfiriM (2014) Hydroelastic impact of piezoelectric structures. International Journal of Impact Engineering66: 18–27.
23.
PolyaninAD (2002) Handbook of Linear Partial Differential Equations for Engineers and Scientists. Boca Raton: CRC Press.
24.
PostonTSerraL (1996) Dextrous virtual work. Communications of the ACM39(5): 37–45.
25.
RianyoiRPotongRNgamjarurojanaA, et al. (2016) Acoustic impedance and electromechanical coupling coefficient of 2-2 parallel connectivity barium titanate piezoelectric ceramic-Portland cement composites. Integrated Ferroelectrics176(1): 85–94.
26.
ShenBYangXLiZ (2006) A cement-based piezoelectric sensor for civil engineering structure. Materials and Structures39(1): 37–42.
27.
StruckWVoggenreiterW (1975) Examples of impact and impulsive loading in the field of civil engineering. Matériaux et Construction8(2): 81–87.
28.
ThomsonWT (1981) Theory of Vibration with Applications. 5th ed.London: Pearson.
29.
TresslerJFAlkoySNewnhamRE (1998) Piezoelectric sensors and sensor materials. Journal of Electroceramics2(4): 257–272.
30.
WangFZWangHSunHJ, et al. (2014) Research on a 0-3 cement-based piezoelectric sensor with excellent mechanical-electrical response and good durability. Smart Materials and Structures23(4): 045032.
31.
WangJShiZ (2014) Electromechanical analysis of 2-2 cement-based piezoelectric transducers in series electrically. Smart Structures and Systems14(3): 267–284.
32.
WangJJLiuDHLiWJ, et al. (2019) Effects of electrodes and electrical connections of piezoelectric layers on dynamic characteristics of radially polarized multilayer piezoelectric cylindrical transducers. Journal of Intelligent Material Systems and Structures30(1): 63–81.
33.
WangJJQinLSongWB, et al. (2018) Electromechanical characteristics of radially layered piezoceramic/epoxy cylindrical composite transducers: theoretical solution, numerical simulation, and experimental verification. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control65(9): 1643–1656.
34.
WangJJWeiPJJiJL (2017) Theoretical analysis of a resistance adjusting type piezoelectric cylindrical transducer. Journal of Intelligent Material Systems and Structures28(20): 2896–2907.
35.
XuDXinCHuangS, et al. (2009) Electromechanical properties of 2-2 cement based piezoelectric composite. Current Applied Physics9(4): 816–819.
36.
YangYMiaoA (2008) Effect of external vibration on PZT impedance signature. Sensors8(11): 6846–6859.
37.
YapharyYLHuSLauD, et al. (2016) Piezoelectricity of Portland cement hydrates cured under the influence of electric field. In: 2016 IEEE 16th international conference on nanotechnology (IEEE-NANO), Sendai, 22–25 August, pp. 911–914.
38.
ZhangJLuYLuZ, et al. (2015) A new smart traffic monitoring method using embedded cement-based piezoelectric sensors. Smart Materials and Structures24(2): 025023.
39.
ZhangTShiZ (2011) Exact analysis of the dynamic properties of a 2–2 cement based piezoelectric transducer. Smart Materials and Structures20(8): 085017.
40.
ZhangTLiaoYLiuW (2018) Theoretical solutions of 2-2 multi-layered cement-based piezoelectric composite under impact load. Composite Structures195: 249–264.
41.
ZhangTTZhangKPLiuWD (2019) Exact impact response of multi-layered cement-based piezoelectric composite considering electrode effect. Journal of Intelligent Material Systems and Structures30(3): 400–415.
42.
ZhuJWangZZhuXY, et al. (2018) Theoretical and experimental study on the effective piezoelectric properties of 1-3 type cement-based piezoelectric composites. Materials (Basel, Switzerland)11(9): 1698.
