Improving Dynamic Stability of Varying Cross-section Beck’s Column with Piezoelectric Layers

China Mechanical Engineering ›› 2010, Vol. 21 ›› Issue (19): 2359-2363.

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Improving Dynamic Stability of Varying Cross-section Beck’s Column with Piezoelectric Layers

Yang Feng1,2;Wang Zhongmin1

1.Xi’an University of Technology, Xi’an, 710048

2.Baoji College of Arts and Science,Baoji,Shaanxi,721007

Online:2010-10-10 Published:2010-10-20
Supported by:

National Natural Science Foundation of China（No. 10872163）;
Shanxi Provincial Science Research Foundation of Ministry of Education of China（No. 08JK394）

利用压电层提高变截面Beck杆的稳定性研究

杨峰1,2;王忠民1

1.西安理工大学,西安,710048

2.宝鸡文理学院,宝鸡,721007

基金资助:
国家自然科学基金资助项目(10872163)；陕西省教育厅科学研究基金资助项目(08JK394)
National Natural Science Foundation of China（No. 10872163）;
Shanxi Provincial Science Research Foundation of Ministry of Education of China（No. 08JK394）

Abstract

Abstract:

To improve the stability of a varying cross-section Beck’s column with certain boundary conditions, an external voltage was applied on the piezoelectric layers bonded on the surfaces of Beck’s column. The mathematical model of the piezoelectric composite varying cross-section Beck’s column was established and the differential equations of motion were derived. With DQ method, the effect of geometrical and physical parameters of piezoelectric layers on the stability of varying cross-section Beck’s column were studied. Stability of Beck’s column can be improved by the piezoelectric layers.

Key words:

varying cross-section, Beck’s column, piezoelectric layers, stability, differential quadrature(DQ) method

摘要：

对一定边界条件下的变截面Beck杆,通过在其表面特定位置粘贴压电片,并施加电场于压电片来提高其稳定性。建立了含端部集中质量的压电层合变截面Beck杆的计算模型,导出分段表示的运动微分方程。利用微分求积法分析了压电片几何物理参数对Beck杆的动态稳定性的影响。研究结果表明,粘贴压电片可以有效提高Beck杆的稳定性。

关键词:

变截面, Beck杆, 压电片, 稳定性, 微分求积法

CLC Number:

O326

YANG Feng, WANG Zhong-Min.

Improving Dynamic Stability of Varying Cross-section Beck’s Column with Piezoelectric Layers

[J]. China Mechanical Engineering, 2010, 21(19): 2359-2363.

杨峰, 王忠民.

利用压电层提高变截面Beck杆的稳定性研究

[J]. 中国机械工程, 2010, 21(19): 2359-2363.

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Improving Dynamic Stability of Varying Cross-section Beck’s Column with Piezoelectric Layers

利用压电层提高变截面Beck杆的稳定性研究

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