非线性变形的平面柔性梁在非惯性系下的动力学分析

刘欢; 和兴锁

doi:10.13433/j.cnki.1003-8728.2015.0404

非线性变形的平面柔性梁在非惯性系下的动力学分析

doi: 10.13433/j.cnki.1003-8728.2015.0404

刘欢,
和兴锁^,

1.
西北工业大学工程力学系, 西安 710129

详细信息

作者简介:
刘欢（1988-），硕士研究生，研究方向为航天器动力学与控制，904108154@qq.com

通讯作者:
和兴锁，教授，博士生导师，xingsuoh@nwpu.edu.cn

计量
- 文章访问数: 95
- HTML全文浏览量: 20
- PDF下载量: 5
- 被引次数: 0
出版历程
- 收稿日期: 2013-10-21
- 刊出日期: 2015-04-05

Dynamics Analysis of Planar Flexible Beam of Nonlinear Deformation in Non-inertial Frame

Liu Huan,
He Xingsuo^,

1.
Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710129

摘要

摘要: 针对大范围运动已知的平面柔性梁结构建立了动力学方程。经过分析，提出了非线性精确模型，采用有限元方法对梁结构进行离散，利用Lagrange方法建立了系统的精确动力学方程。与原有一次耦合模型相比，该模型中各项矩阵新增了两类耦合项：基点速度和角速度耦合项和变形耦合项。通过仿真计算，比较其动力学特性与零次、一次耦合模型的差异，确定各种耦合项的作用，并进行了定性分析。
- 柔性梁 /
- 非线性 /
- 有限元法 /
- Lagrange方法 /
- 动力学特性
Abstract: The dynamics equation is established for a planar flexible beam and girder structure with known large overall motion. After analysis, the accurate nonlinear equations is put forward. The finite element method is used for the system discretization and the coupling dynamics equations of flexible beams and girders are obtained by the Lagrange multipliers. Compared with the one-order coupling model, each matrix of our model adds two kinds of coupling: the velocity and the angular velocity coupling terms of basic point and the deformation coupling term. Compared the zero-order coupling model and the one-order coupling model with the accurate nonlinear model through simulation in dynamic response. The roles of various coupling terms is determined and qualitative analysis is carried out.
- angular velocity /
- beams and girders /
- deformation /
- dynamic response /
- dynamics

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参考文献(8)

[1]	和兴锁,邓峰岩,吴根勇,等.对于具有大范围运动和非线性变形的柔性梁的有限元动力学建模[J].物理学报,2010,59(1):25-29 He X S, Deng F Y, Wu G Y, et al. Dynamic modeling of a flexible beam with large overall motion and nonlinear deformation using the finite element method[J]. Acta Physica Sinica,2010,59(1):25-29 (in Chinese)
[2]	和兴锁,张亚锋,邓峰岩.非惯性坐标系下柔性梁的动力学分析与压缩建模[J].西北工业大学学报,2009,27(6):777-780 He X S, Zhang Y F, Deng F Y. A dynamic modeling method with nonlinear deformation of flexible beam of spacecraft considered more carefully[J]. Journal of Northwestern Polytechnical University,2009,27(6):777-780 (in Chinese)
[3]	和兴锁,邓峰岩.大型刚-柔耦合动力学系统建模中柔性梁的非线性变形研究[J].西北工业大学学报,2007,25(3):353-356 He X S, Deng F Y. Better dynamic modeling of a flexible beam in rigid-flexible coupling spacecraft[J]. Journal of Northwestern Polytechnical University,2007,25(3):353-356 (in Chinese)
[4]	杨辉.刚-柔耦合动力学系统的建模理论与实验研究[D].上海:上海交通大学,2002 Yang H. Study on dynamic modeling theory and experiments for rigid-flexible coupling systems[D].Shanghai: Shanghai Jiaotong University,2002 (in Chinese)
[5]	邓峰岩.考虑完全非线性变形的刚-柔耦合动力学系统的建模理论[D].西安:西北工业大学,2006 Deng F Y. Dynamic modeling theory considering fully nonlinear deformation for rigid-flexible coupling systems[D]. Xi'an:Northwestern Nolytechnical University,2006 (in Chinese)
[6]	董晓芳,和兴锁,邓峰岩,等.非线性变形对大范围平面运动梁动力学特性的影响[J].机械科学与技术,2006,25(4):407-409 Dong X F, He X S, Deng F Y, et al. Effects of nonlinear deformation on dynamics of a planar flexible beam under large overall motions[J]. Mechanical Science and Technology,2006,25(4):407-409 (in Chinese)
[7]	和兴锁,邓峰岩,张亚锋,等.作大范围运动的平面柔性梁的有限元动力学建模[J].西北工业大学学报,2008,26(4):441-444 He X S, Deng F Y, Zhang Y F, et al. Dynamic modeling of a planar flexible beam with large overall motion [J]. Journal of Northwestern Polytechnical University,2008,26(4):441-444 (in Chinese)
[8]	Yoo H H, Ryan R R, Scott R A. Dynamics of flexible beams undergoing overall motion[J]. Journal of Sound and Vibration,1995,181(2):261-278