Analysis of finite deformation of curved beams bonded with piezoelectric actuating layers
Analysis of finite deformation of curved beams bonded with piezoelectric actuating layers
复制标题
压电驱动层粘接曲梁有限变形分析
DOI：
10.1177/1045389x16672728
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发表时间：
2017-07
影响因子：
2.7
通讯作者：
Zhou Hongbo
中科院分区：
文献类型：
--
作者：
Zhou Yong;Nyberg Timo R.;Xiong Gang;Li Shi;Zhou Hongbo
压电层合曲梁或层合曲梁智能梁是最常用的元件之一，由于其体积小、重量轻、响应快等优良特性，被广泛应用于纳微机电系统中。基于拉格朗日和欧拉描述，对压电层合曲梁的有限变形进行了分析。研究了粘贴压电薄膜（聚偏氟乙烯）驱动层曲梁的压电致动特性。以变形曲率半径和切线斜率角为基本参数，推导了层合曲线智能梁在静态机械载荷和电载荷作用下的控制方程。首先，推导了以切坡变形角为唯一变量的平衡方程，并进行了解耦。在此基础上，利用调和函数给出了层合曲梁的解析解。最后，利用该方法和有限元方法计算了层合智能曲梁的静态变形。计算结果具有较好的一致性，表明了该方法的有效性。进一步研究了覆盖压电层的圆形梁和螺旋梁。研究了半径、厚度比和叠层顺序对压电层合梁挠度的影响。
Piezoelectric laminated curved beams or laminated curved smart beams, one of the most popular elements, are widely used in nano- or micro-electromechanical systems due to their excellent properties such as small volume, lightweight, and quick response. In this article, the finite deformation of piezoelectric laminated curved beams is analyzed based on Lagrangian and Eulerian description. The piezoelectric actuating character for the deflection in the curved beams bonded with piezoelectric film (polyvinylidene fluoride) driving layers is investigated. Choosing the deformed radius of curvature and tangent slope angle as fundamental parameters, the governing equations of laminated curved smart beams under static mechanical and electrical loadings are derived. First, the equilibrium equations are deduced and decoupled using the deformed angle of tangent slope as the only variant. And then the analytical solutions of laminated curved smart beams are presented using harmonic functions. Finally, the static deformations of the laminated curved smart beams are calculated by this method and the finite element method. The results exhibit good consistency and show the validation of the present method. Circular and spiral beams covered with piezoelectric layers are researched further. Effects of radius, thickness ratios, and stacking sequence on deflections of the piezoelectric laminated beams are explored as well.
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影响因子：
3.6
作者：
A. Mukherjee;A. S. Chaudhuri
通讯作者：
A. Mukherjee;A. S. Chaudhuri
DOI：
10.1117/12.432779
发表时间：
2001-07
期刊：
--
影响因子：
--
作者：
Z. Ounaies;K. Mossi;Ralph C. Smith;J. Bernd
通讯作者：
Z. Ounaies;K. Mossi;Ralph C. Smith;J. Bernd
DOI：
10.1142/9789812819673
发表时间：
1997
期刊：
--
影响因子：
--
作者：
T. Atanacković
通讯作者：
T. Atanacković
影响因子：
2.4
作者：
S. Tanaka
通讯作者：
S. Tanaka
影响因子：
4.6
作者：
A. N. Mtawa;Bohua Sun;J. Gryzagoridis
通讯作者：
A. N. Mtawa;Bohua Sun;J. Gryzagoridis