| 功能梯度压电夹层结构中SH波的传播 |
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| 引用本文： | 杨茜, 孔艳平, 刘金喜. 功能梯度压电夹层结构中SH波的传播[J]. 固体力学学报, 2012, 33(2): 146-152. doi: 10.3969/j.issn.0254-7805.2012.02.003 |
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| 作者姓名： | 杨茜 孔艳平 刘金喜 |
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| 作者单位： | 石家庄铁道大学土木工程学院,石家庄,050043; 石家庄铁道大学工程力学系,石家庄,050043; 石家庄铁道大学工程力学系,石家庄,050043 |
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| 基金项目： | 国家自然科学基金，河北省教育厅科研计划 |
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| 摘 要： | 研究了功能梯度压电上、下半空间和均匀压电层组成的夹层结构中SH波的传播性能,上、下功能梯度半空间的材料性能沿垂直于界面方向以指数函数形式变化.首先推导了SH波传播时电弹场的解析解,然后利用界面条件得到了行列式形式的频散方程.基于推导的频散方程,通过数值算例表明了材料性能梯度变化、压电层厚度和材料组合方式对相速度的影响,结果对功能梯度压电材料在声波器件中的应用有参考价值.
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| 关 键 词： | 功能梯度材料 压电材料 SH波 频散 |
| 收稿时间： | 2010-11-26 |
PROPAGATION OF SH WAVES IN FUNCTIONALLY GRADED PIEZOELECTRIC SANDWICH STRUCTURES |
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| Qian Yang, Yanping Kong, Jinxi Liu. PROPAGATION OF SH WAVES IN FUNCTIONALLY GRADED PIEZOELECTRIC SANDWICH STRUCTURES[J]. Chinese Journal of Solid Mechanics, 2012, 33(2): 146-152. doi: 10.3969/j.issn.0254-7805.2012.02.003 |
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| Authors: | Qian Yang Yanping Kong Jinxi Liu |
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| Affiliation: | 1 Shijiazhuang Tiedao University,School of Civil Engineering,Shijiazhuang,050043)(2 Shijiazhuang Tiedao University,Department of Engineering Mechanics,Shijiazhuang,050043) |
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| Abstract: | This paper investigates shear horizontal(SH) waves propagating in a sandwich structure consisting of a piezoelectric layer and two different functionally graded piezoelectric half-spaces.The material properties of the piezoelectric half-spaces vary exponentially in the direction perpendicular to the interfaces.The closed-form expressions of electro-elastic fields for SH waves are derived.By using the continuous conditions at the interfaces,the dispersion equations are given in determinant form.Based on the dispersion equations,the numerical examples are presented to show the effects of variations of material properties,piezoelectric layer thickness and different combinations of materials on the phase velocity.The obtained results are useful for the application of functionally graded piezoelectric materials to acoustic wave devices such as plate resonators,filters and sensors. |
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| Keywords: | functionally graded material piezoelectric material SH waves dispersion relation |
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