含压电复合材料结构瞬态问题的扩展逐层法研究

中国民航大学学报 ›› 2024, Vol. 42 ›› Issue (6): 74-81.

含压电复合材料结构瞬态问题的扩展逐层法研究

徐建新，孙梓茗，武耀罡，李顶河

中国民航大学航空工程学院，天津 300300

收稿日期:2023-03-03 修回日期:2023-05-09 出版日期:2025-04-08 发布日期:2025-04-08
作者简介:徐建新（1967— ），男，江苏苏州人，教授，博士，研究方向为超声波加工技术

Extended layerwise method research of the transient problem of piezoelectric

composite material structure

XU Jianxin, SUN Ziming, WU Yaogang, LI Dinghe

College of Aeronautical Engineering, CAUC, Tianjin 300300, China

Received:2023-03-03 Revised:2023-05-09 Online:2025-04-08 Published:2025-04-08

摘要/Abstract

摘要：

将质量矩阵和时间积分法引入压电扩展逐层法（XLWM，extended layerwise method）中，根据压电片和复合

材料层合结构连接区域的位移和内力平衡条件，建立了含压电复合材料层合板总体控制方程，实现了

含损伤结构的瞬态响应分析。在数值算例中：首先，利用无损伤结构开展了收敛性分析，并将收敛后的结

果与 ANSYS 软件模拟的三维弹性模型进行对比，以验证所提方法的正确性；其次，研究了含有单一损伤的

情况下，不同损伤参数对含压电复合材料层合板瞬态响应的影响规律；最后，研究了多损伤情况下含压电

复合材料层合板在不同损伤参数下瞬态响应的变化规律，并分析了压电片与复合材料耦合位置对瞬态响应

的影响

关键词:

扩展逐层法（XLWM）, 分层, 裂纹, 压电传感器, 瞬态响应, 耦合

Abstract:

The mass matrix and time integration method were introduced into the piezoelectric extended layerwise method

(XLWM). According to the displacement and internal force balance conditions of the connection area between

piezoelectric sheet and composite material laminated structure, the overall control equation of piezoelectric composite material laminates was established, and the transient response analysis of structures containing damage was

achieved. Firstly, in the numerical example, the convergence analysis was conducted using non-destructive structures, and the converged results were compared with the three-dimensional elastic model simulated by ANSYS

software to verify the correctness of the proposed method. Secondly, in the condition of containing single damage,

the influence law of different damage parameters on the transient response of piezoelectric composite material laminates was studied. Finally, under multiple damage conditions, the variation law of transient response of piezoelectric composite material laminates under different damage parameters was studied, and the influence of the coupling

position between piezoelectric sheet and composite material on the transient response was analyzed.

Key words:

extended layerwise method (XLWM), delamination, crack, piezoelectric sensor, transient response, coupling

中图分类号:

V214.8

徐建新, 孙梓茗, 武耀罡, 李顶河.

含压电复合材料结构瞬态问题的扩展逐层法研究

[J]. 中国民航大学学报, 2024, 42(6): 74-81.

XU Jianxin, SUN Ziming, WU Yaogang, LI Dinghe.

Extended layerwise method research of the transient problem of piezoelectric

composite material structure

[J]. Journal of Civil Aviation University of China, 2024, 42(6): 74-81.

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