航空学报 > 2009, Vol. 30 Issue (6): 1035-1042

1-3型压电纤维主动薄壁梁扭转特性

赵寿根1,王静涛1,黎康2,刘一武2   

  1. 1.北京航空航天大学 航空科学与工程学院 2.北京控制工程研究所
  • 收稿日期:2008-04-08 修回日期:2008-07-16 出版日期:2009-06-25 发布日期:2009-06-25
  • 通讯作者: 赵寿根

Torsion Characteristics of Active Thin-walled Beam with 1-3 Piezoelectric Fiber Composites

Zhao Shougen1, Wang Jingtao1, Li Kang2, Liu Yiwu2   

  1. 1.School of Aeronautic Science and Engineering, Beijing University of Aeronautics  and Astronautics 2.Beijing Institute of Control Engineering
  • Received:2008-04-08 Revised:2008-07-16 Online:2009-06-25 Published:2009-06-25
  • Contact: Zhao Shougen

摘要: 从薄壁梁理论出发,在考虑扭转翘曲影响的情况下,推导了1-3型压电纤维复合材料主动薄壁梁的几何方程、本构方程和静力学控制方程。在此基础上,采用该理论分析了4类典型铺层方式的主动薄壁梁在控制电压作用下产生的主动力和变形模式。分析指出,采用适当的铺层方式,可以使得1-3型压电纤维复合材料主动薄壁梁具有主动扭转能力,特别是纯扭转能力。算例同时分析了主动薄壁梁主动扭转能力随压电纤维的体积比、铺层角、外界电场强度以及薄壁梁的长度等因素的变化规律。算例结果表明,本文分析方法具有较好的精度,1-3型压电纤维复合材料主动薄壁梁具有良好的主动扭转特性,这将大大扩大主动结构的自由度控制范围,特别是扭转自由度的控制范围。

关键词: 压电材料, 薄壁结构, 翘曲, 扭转特性

Abstract: Taking into consideration the torsional warping effect of thin-walled beams, this article derives the geometric equations, constitutive equations, and static controlling equations of active thin-walled beams with 1-3 piezoelectric fiber composites (PFC). Based on these, the active force and the deformation model are obtained for four typical types of active thin-walled beams with 1-3 PFC under the control of voltage. The analysis result shows that 1-3 PFC thin-walled beams possess active torsion ability, especially the pure active torsion ability with proper laminated modes. Rules are obtained and generalized for the variation of the active torsion ability with the volume ration of the piezoelectric fiber, its orientation, the applied electric field intensity, and the length of the thin-walled beam. The results of the example show that the theory proposed in this article has good precision and 1-3 PFC active thin-walled beams exhibit good active torsion characteristic suitable for the torsion degree of the controlled structure which will help extend the range of the controlled freedom of the structure and make it suitable for the torsion degree of controlled structures.

Key words: piezoelectric materials, thin-walled structures, warping, torsion characteristics

中图分类号: