Three-Dimensional Semianalytical Solutions for Piezoelectric Laminates Subjected to Underwater Shocks
Three-Dimensional Semianalytical Solutions for Piezoelectric Laminates Subjected to Underwater Shocks
复制标题
承受水下冲击的压电层压板的三维半解析解
DOI：
10.1155/2020/2439521
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发表时间：
2020-08
影响因子：
--
通讯作者：
Guohua Liu
中科院分区：
文献类型：
--
作者：
Xu Liang;Wenbin Lu;Ronghua Zhu;Changpeng Ye;Guohua Liu
本文应用拉普拉斯变换及其数值逆、傅立叶变换、微分求积法和状态空间法对压电层合板进行了分析。基于压电层合板的修正变分原理，推导了压电层合板动力学问题的基本方程。利用该方法得到了位移、应力、电势和电介质位移的解。采用Durbin的拉普拉斯变换求逆方法。通过DQM讨论了四种边界条件。通过与有限元计算结果的比较，验证了该方法的有效性。此外，通过引入Taylor流固耦合算法，将该半解析方法进一步扩展到描述压电层合板在水下冲击作用下的动力响应。对气背和水背层合板进行了研究，并考察了流体的影响。在时间域中，计算了四种边界条件下采样点的电势和位移。结果表明，该方法具有较高的精度，是计算水下叠层传感器动态响应的一种有效方法。
In this study, a piezoelectric laminate is analyzed by applying the Laplace transform and its numerical inversion, Fourier transform, differential quadrature method (DQM), and state space method. Based on the modified variation principle for the piezoelectric laminate, the fundamental equations for dynamic problems are derived. The solutions for the displacement, stress, electric potential, and dielectric displacement are obtained using the proposed method. Durbin’s inversion method for the Laplace transform is adopted. Four boundary conditions are discussed through the DQM. The proposed method is validated by comparing the results with those of the finite element method (FEM). Moreover, this semianalytical method is further extended to describe the dynamic response of piezoelectric laminated plates subjected to underwater shocks by introducing Taylor’s fluid-structure interaction algorithm. Both air-backed and water-backed laminated plates are investigated, and the effect of the fluid is examined. In the time domain, the electric potential and displacements of sample points are calculated under four boundary conditions. The present method is shown to be accurate and can be a useful method to calculate the dynamic response of underwater laminated sensors.
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DOI：
10.1115/1.2893764
发表时间：
1992-09
期刊：
Journal of Applied Mechanics
影响因子：
--
作者：
C. Steele;Y. Kim
通讯作者：
C. Steele;Y. Kim
影响因子：
3.6
作者：
A. Mukherjee;A. S. Chaudhuri
通讯作者：
A. Mukherjee;A. S. Chaudhuri
影响因子：
5.1
作者：
A. Schiffer;V. Tagarielli
通讯作者：
A. Schiffer;V. Tagarielli
影响因子：
6.3
作者：
G. Qing;Jian-xin Xu;Pei Li;J. Qiu
通讯作者：
G. Qing;Jian-xin Xu;Pei Li;J. Qiu
影响因子：
2.5
作者：
Saravanos, DA
通讯作者：
Saravanos, DA