内嵌倾斜压电柱复合材料板的压电振动特性分析

PDF(1771 KB)

振动与冲击 ›› 2016, Vol. 35 ›› Issue (8) : 187-193.

论文

成建联，刘含文，王越，陈炜

作者信息 +

Analyzing characteristics of composite plate embedded sloping piezoelectrical pillars

CHENG Jian-lian, LIU Han-Wen, WANG Yue, CHEN Wei,

Author information +

文章历史 +

摘要

针对1-3型内嵌倾斜压电柱复合板结构，建立压电复合板结构的有限元模型，并推导出变形关系和形函数;应用拉格朗日方程，建立了单元结构的运动方程。针对不同倾斜角度压电柱复合板进行有限元仿真分析，研究了复合压电板的正压电特性，并对复合压电板的能量损耗因子进行分析。研究结果表明：在相同压力下，压电柱的倾斜角度对复合板的弯曲模态频率影响较大。随着压电柱体倾斜角度的增大，模态频率降低，弯曲变形增大；同时，倾斜柱体棱长变长，产生电压增大。悬臂板在压力作用下，沿宽度方向产生反对称电势。在压电陶瓷柱的倾角达到57时，损耗因子达到最大。采用内嵌式倾斜压电柱复合板结构，降低了压电板的脆性，保证大尺寸压电板的结构均匀性和应用。

Abstract

Piezo-composite plate consists of 1-3 type piezoelectrical pillars that are obliquely embedded in a viscoelastic soft polypropylene matrix. The finite element model (FEM) is developed to investigate the positive piezoelectrical properties and the energy dissipation characteristics of active piezoelectric composites. The strain vectors and shape functions of composite plate are derived by the displacement relations. The motion equations of element were obtained by using the Lagrange’s equation. The loss factor is expressed by the ratio of the dissipated of the stored energy. The effects of the sloping angle of the piezoelectric pillars on the positive piezoelectric properties are shown. The bending mode frequencies and deflections and the positive potentials are analyzed. The antisymmetrical potential is appeared along the width direct of composite plate under pressure. The loss factor of composite plate is presented for the effect the sloping angle of the piezoelectric pillars and the control gains considered. The results indicate that the loss factor attains the maximum at an angle of 57 for the different control gains and effectively high loss factors may be attained by proper selection of the design parameters of composite plate. Using the composite plate embedded sloping piezoelectric pillar, can decrease the brittleness of piezoelectrical plate and ensure the homogeneity as well as application of larger dimension piezoelectrical composite plate.

导出引用

成建联，刘含文，王越，陈炜. 内嵌倾斜压电柱复合材料板的压电振动特性分析[J]. 振动与冲击, 2016, 35(8): 187-193

CHENG Jian-lian, LIU Han-Wen, WANG Yue, CHEN Wei, . Analyzing characteristics of composite plate embedded sloping piezoelectrical pillars[J]. Journal of Vibration and Shock, 2016, 35(8): 187-193

参考文献

[1] Tzou H S, Tseng C I. Distributed piezoelectric sensor/ actuator design for dynamic measurement/ control of distributed parameter systems: a piezoelectric finite element approach [J]. Journal of Sound and Vibration, 1990, 138 (1): 17～34.
[2] Ha S K, Keilers C, Chang F. Finite element analysis of composite structures containing distributed piezoceramic sensors and actuators [J]. AIAA Journal, 1992, 30 (3): 772～780.
[3] Hauke T, Steinhausen R, Seifert W, Kamlah M. Modeling of Poling Behavior of Ferroelectric 1-3 Composites [J]. Journal of Applied Physics, 2001, 89 (9):5040-5047.
[4] Hossack J A, Hayward G. Finite-Element Analysis of 1-3 Composite Transducers [J]. IEEE Trans U FFC, 1991, 38 (6):618-629.
[5] Reynolds P, Hyslop J, Hayward G. Analysis of spurious resonances in single and multi-Element piezocomposite ultrasonic Transducers [C]. Ultrasonics, IEEE Symposium on, 2003, 2:1650-1653.
[6] Steinhausen R, Hauke T, Sifert W, et al. Fine scaled Piezoelectric1-3 Composites: Properties and Modeling [J]. Journal of the Europe Ceramic Society, 1999, 19:1289-1293.
[7] Arafa M, Baz A. On the nonlinear behavior of piezoelectric actuators [J]. Journal of Vibration and Control. 2004, 10(3): 387-398.
[8] 仲林建，陈俊波，王世全. 1-3型压电复合材料的制备及性能分析[J]. 声学与电子工程，2007. 85(1)： 31-34.
ZHONG Lin-jian, CHEN Jun-bo, WANG Shi-quan. Manufacture and performance analysis of 1-3 piezoelectric composites [J]. Acoustics and Electronics Engineering, 2007, 85(1):31-34. (in Chinese)
[9] 李莉,秦雷等. 1-3-2型压电陶瓷/聚合物复合材料的理论模型[J]. 功能材料与器件学报, 2007,13(4):339-344.
LI Li, QIN Lei, et al. Model for 1-3-2 piezoelectric ceramic/polymer composites [J]. Journal of functional Materials and Devices, 2007, 13(4): 339-344. (in Chinese)
[10] 周勇, 王鑫伟, 孙亚飞, 谈梅兰. 压电复合材料层合板弯曲变形及脱粘损伤的有限元分析[J]. 吉林大学学报(工学版), 2004, 34(2):180-184.
ZHOU Yong, WANG Xin-wei, SUN Ya-fei, TAN Mei-lan. Finite element analyses for piezoelectric laminated plate in bending and actuator debonding [J]. Journal of Jilin University of Technology (Natural Science Edition), 2004, 34(2): 180-184. (in Chinese)
[11] 水永安. 压电复合材料的理论模型[J]. 物理学进展, 1996, 16(3-4): 353-361.
SHUI Yong-an. Theoretical model of piezoelectrical composite material [J]. Progress of Physics, 1996, 16(3-4): 353-361.
[12] Jiashi Yang. The Mechanics of Piezoelectric Structures [M]. World Scientific Publishing Co. Pte. Ltd., Singapore, 2006. 21