具任意脱层压电弹性层合梁的谐响应分析

罗松南 王立喆 邓庆田 彭亮

振动与冲击 ›› 2009, Vol. 28 ›› Issue (3) : 63-67.

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PDF(1032 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (3) : 63-67.
论文

具任意脱层压电弹性层合梁的谐响应分析

  • 罗松南 王立喆 邓庆田 彭亮
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Harmonic response analysis of a laminated piezoelectric beam with an arbitrary delamination

  • Luo Songnan , Wang Lizhe , Deng Qingtian , Peng Liang
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摘要

基于Timoshenko梁理论,考虑剪切变形和力电耦合效应,对压电弹性层合脱层梁进行了分区处理,可方便地描述脱层长度和脱层位置,建立了弯曲波在梁中传播的基本方程式;通过长波情况下的电势分布简化,考虑无外加电压时,对该类悬臂梁进行了求解分析。给出了梁的频散关系,得到了各位移分量和电势的解析解,分析了脱层参数对位移和电势的影响规律。

Abstract

The effects of shear deformation and piezoelectric-elastic coupling are considered. The beam is divided into different regions in order to describe the different sizes and positions of the delamination easily. The governing equations for the flexural wave propagation in the beam are derived based on Timoshenko beam theory. According to the potential distributing simplification for the long wave propagation, the harmonic response of the cantilever beams without the additional potential is gained. The dispersion relations and the closed solution of the displacements and the potentials are obtained. The influence of delamination parameters on displacements and potentials is discussed.

Key words

Laminated piezoelectric beam / Delamination / Dispersion relations / Harmonic response analysis

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导出引用
罗松南 王立喆 邓庆田 彭亮. 具任意脱层压电弹性层合梁的谐响应分析[J]. 振动与冲击, 2009, 28(3): 63-67
Luo Songnan;Wang Lizhe;Deng Qingtian;Peng Liang. Harmonic response analysis of a laminated piezoelectric beam with an arbitrary delamination[J]. Journal of Vibration and Shock, 2009, 28(3): 63-67

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