基于时域谱单元的三维压电耦合结构波传播分析

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (16) : 140-146.

论文

鱼则行，徐超

作者信息 +

Time-domain spectral element method for 3-D wave propagation analysis of piezoelectric coupled structures#br#

YU Zexing，XU Chao

Author information +

文章历史 +

摘要

针对压电元件在结构健康监测领域的广泛应用，推导了一种三维压电耦合时域谱单元。考虑压电元件用作驱动器与传感器时两种不同的工况，分别用本文的谱单元方法和传统有限元法计算了弹性导波在压电耦合结构中的传播行为，以验证所本文方法的精度和效率；进一步开展了结构弹性波传播实验，实验验证了本文方法的有效性。结果表明：相较于传统有限元法，在波传播问题中，谱单元方法能够大大降低计算规模，提高运算速度；在模拟弹性导波的A0模式时，谱单元方法能够快速收敛到精确解；与实验结果的比较进一步验证了本文方法在三维压电耦合结构波传播问题模拟中的有效性。

Abstract

Piezoelectric actuators and sensors are widely applied in structural health monitoring (SHM).To simulate the elastic wave propagation in piezoelectric coupled structures, a 3-D piezoelectric coupled solid time-domain spectral element method (SEM) was proposed in this paper.The propagation of guided waves was analyzed in the cases in which the piezoelectric patches work as actuators or sensors by using the proposed method and the traditional finite element method (FEM).The experimental study was carried out to further validate the proposed SEM method.The results show that, compared to the FEM, the proposed SEM can reduce the computational cost and required memory space dramatically, and it has better convergence capability to simulate the A0 mode wave.The experimental work further validates the proposed method’s effectiveness.

导出引用

鱼则行，徐超. 基于时域谱单元的三维压电耦合结构波传播分析[J]. 振动与冲击, 2018, 37(16): 140-146

YU Zexing，XU Chao. Time-domain spectral element method for 3-D wave propagation analysis of piezoelectric coupled structures#br#[J]. Journal of Vibration and Shock, 2018, 37(16): 140-146

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