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|本期目录/Table of Contents|

压电圆柱曲面板中的周向导波复频散特性

《应用力学学报》[ISSN:1000-4939/CN:61-1112/O3]

期数:
2019年02期
页码:
372-378
栏目:
出版日期:
2018-12-18

文章信息/Info

Title:
The complex dispersion characteristics of circumferential guided waves in piezoelectric cylindrical curved plate
作者:
张小明李智禹建功王现辉
河南理工大学 机械与动力工程学院 454003 焦作
Author(s):
Zhang Xiaoming Li Zhi Yu Jiangong Wang Xianhui
School of Mechanical and Power Engineering, Henan Polytechnic University, 454003, Jiaozuo, China
关键词:
压电圆柱曲面板正交多项式法周向导波复频散位移和电势分布
分类号:
O347;O426
DOI:
10.11776/cjam.36.02.D006
文献标识码:
A
摘要:
提出了一种基于Legendre正交多项式级数计算导波复频散的解析方法,该方法可将复杂的波动方程求解问题转换为特征值为波数的特征计算问题,无须迭代便可得到完整解,避免了迭代法循环次数多、运算量大、精度不足等缺点。应用提出的方法计算了正交各向异性压电圆柱曲面板中的周向导波复频散曲线,并与已有文献应用回传射线矩阵法的计算结果进行了比较,两者计算结果非常吻合,验证了本文方法的正确性和有效性。计算给出了压电圆柱曲面板的频率-复波数三维频散曲线,研究了材料的压电性、力学与电学边界条件对导波复频散特性的影响,分析了复波数衰逝波的位移和电势分布,揭示了衰逝导波的传播特性。研究结果表明:本文提出的计算方法能求解得到超越频散方程的纯实数波数、纯虚数波数和复数波数解;压电圆柱曲面板中周向类Lamb衰逝波有纯虚数波数和复数波数两种模态,复波数衰逝波模态呈阻尼正弦式衰减,随着频率的增大而转变为传播波模态;材料的压电性和边界条件对导波复频散特性都有显著影响。

参考文献/References

[1] 罗松南,邓庆田.带压电层圆柱形杆中波的传播[J].湖南大学学报(自然科学版),2006,33(2):74-77.(LUO Songnan,DENG Qingtian.Wave propagation in the layered piezoelectric cylindrical bars[J].Journal of Hunan university(natural sciences),2006,33(2):74-77(in Chinese)). [2] 魏建萍,苏先樾.压电空心圆柱中波的传播[J].力学学报,2004,36(4):484-490.(WEI Jianping,SU Xianyue.Wave propagation in the piezoelectric hollow cylinder[J].Acta mechanica sinica,2004,36(4):484-490(in Chinese)). [3] PONNUSAMY P.Wave propagation in a piezoelectric solid bar of circular cross-section immersed in fluid[J].International journal of pressure vessels and piping,2013,105/106:12-18. [4] PUZYREV V,STOROZHEV V.Wave propagation in axially polarized piezoelectric hollow cylinders of sector cross section[J].Journal of sound and vibration,2011,330(18/19):4508-4518. [5] YU J G,MA Q J.Circumferential waves in piezoelectric cylindrical curved plate[J].Acta acustica united with acustica,2008,94(5):725-733. [6] HUANG K H,DONG S B.Propagating waves and edge vibrations in anisotropic composite cylinders[J].Journal of sound and vibration,1984,96(3):363-379. [7] 陈江义,潘尔年.任意梯度分布板中的导波频散特性分析[J].应用基础与工程科学学报,2014(6):1230-1237.(CHEN Jiangyi,PAN Ernian.Dispersion relations for guided wave in functionally graded plates with arbitrary grade[J].Journal of basic science and engineering,2014(6):1230-1237(in Chinese)). [8] 郭永强,陈伟球,张永亮.层合压电结构中的导波[J].中国科学G辑,2009,39(7):1018-1028.(GUO Yongqiang,CHEN Weiqiu,ZHANG Yongliang.Guided wave propagation in multilayered piezoelectric structures[J].Science in China series G,2009,39(7):1018-1028(in Chinese)). [9] QUINTANILLA F H,LOWE M J S,CRASTER R V.Full 3D dispersion curve solutions for guided waves in generally anisotropic media[J].Journal of sound and vibration,2016,363:545-559. [10] 李念,钱征华,王彬.复波数域弥散曲线的求解方法研究[J].应用力学学报,2016,33(3):365-370.(LI Nian,QIAN Zhenghua,WANG Bin.Study on computational methods of dispersion curves in complex wave number range[J].Chinese journal of applied mechanics,2016,33(3):365-370(in Chinese)). [11] SIMONETTI F,LOWE M J.On the meaning of Lamb mode nonpropagating branches[J].Journal of the acoustical society of America,2005,118(1):186-192.

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