电磁功能梯度材料层合板中表面波的弥散特性

谢根全;申中原;胡邦南

振动与冲击 ›› 2009, Vol. 28 ›› Issue (4) : 97-102.

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PDF(1290 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (4) : 97-102.
论文

电磁功能梯度材料层合板中表面波的弥散特性

  • 谢根全1,申中原2,胡邦南3
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Dispersion of surface wave in a functionally graded electro-magneto-elastic layered plate

  • Xie Gen-quan1, Sen Zhong-yuan2, Hu Bang-nan3
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摘要

应用混合数值法研究电磁复合材料层合板中表面波的弥散特性。假设材料的材料常数和电、磁常数沿板厚方向呈线性变化,首先用线条元将电磁复合材料层合板划分为单元,建立单元的动力学微分方程,然后根据单元之间的连续条件将单元控制方程装配成系统的控制方程,将单元的位移向量表示成波动形式的解,得到波数域内的系统控制方程,求解系统的特征方程,得到波数与频率的关系即弥散关系,考察电、磁效应对波的弥散特性的影响。

Abstract

Dispersion of surface wave in an electro-magneto-elastic compositons layered plate is investigated by hybrid numerical method. Material properties, electric coefficient and magnetic coefficient are supposed to vary linearly in the thickness direction. The electro-magneto-elastic compositons layered plate is first devided into strip elements. the governing equations of an element are obtained, and then the governing equations of the elements are assembled into the total equations. The dispersion of waves can be obtained by solving eigenvalue equation of the system. Effect of electric and magneto field on the dispersion of waves is investigated

关键词

电磁复合材料 / 混合数值法 / 弹性波 / 层合板

Key words

electro-magneto-elastic composition / hybrid numerical method / elastic wave / layered plate

引用本文

导出引用
谢根全;申中原;胡邦南. 电磁功能梯度材料层合板中表面波的弥散特性[J]. 振动与冲击, 2009, 28(4): 97-102
Xie Gen-quan;Sen Zhong-yuan;Hu Bang-nan. Dispersion of surface wave in a functionally graded electro-magneto-elastic layered plate[J]. Journal of Vibration and Shock, 2009, 28(4): 97-102
中图分类号: O342   

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