王剑,赵国忠,王悦东,兆文忠.压电曲梁单元及其形状控制[J].计算力学学报,2011,28(4):641~646 |
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压电曲梁单元及其形状控制 |
Shape control of piezoelectric structures by curved beam actuators |
投稿时间:2009-06-12 修订日期:2010-05-02 |
DOI:10.7511/jslx201104026 |
中文关键词: 压电曲梁 有限元 最小二乘法 形状控制 |
英文关键词:piezoelectric curved beam FEM linear least square method shape control |
基金项目:国家自然科学基金(10772038,11072049);国家科技支撑计划(2009BAG12A04);教育部新世纪优秀人才支持计划(NCET090259);中央高校基本科研业务费专项资金(DUT10LK30)资助项目. |
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中文摘要: |
航空航天等领域对结构形状要求非常严格,利用压电材料的逆压电效应控制结构变形是现代空间结构形状控制中一个很好的选择。本文基于一般曲梁单元,推导了空间压电曲梁单元的方程表达式,主体壳结构与压电单元之间利用约束方程连接。在此基础上进一步采用最小二乘法得到了压电控制单元上的最优电压,实现了压电曲梁单元的变形控制。数值算例表明了本文计算模型和控制方法的有效性。 |
英文摘要: |
The shape effect is very important in the field of space engineering. It is a good idea to control the shape of the structure by piezoelectric effects from piezoelectric materials at present. In this paper, a spatial curved beam is derived, and a piezoelectric curved beam finite element model is built based on it. Constraint equation is used here to link the actuators and host shell. Linear least square method is adopted here to solve the shape control model. Numerical examples are given to demonstrate the validity of the model proposed. |
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