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论文:2016,Vol:34,Issue(3):480-484 |
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引用本文： |
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闫业毫, 和兴锁, 邓峰岩. 空间柔性梁的刚-柔耦合动力学特性分析与仿真[J]. 西北工业大学学报 |
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Yan Yehao, He Xingsuo, Deng Fengyan. Analyzing and Imitation of Dynamic Properties for Rigid-Flexible Coupling Systems of a Spatial Flexible Beam[J]. Northwestern polytechnical university |
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| 空间柔性梁的刚-柔耦合动力学特性分析与仿真 |
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| 闫业毫, 和兴锁, 邓峰岩 |
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| 西北工业大学 工程力学系, 陕西 西安 710072 |
| 摘要: |
| 针对大范围运动规律为未知的刚-柔耦合系统,利用有限元方法对柔性梁进行离散,采用Lagrange方程建立空间柔性梁的刚-柔耦合动力学方程,研究在大范围运动为自由情况下,空间柔性梁的大范围运动和变形运动的相互耦合机理,比较零次模型、一次耦合模型、精确模型的差异,探讨各种模型的适用性。 |
| 关键词:
动力学模型
空间柔性梁
刚-柔耦合系统
动力学特性
非线性方法
模型分析
数值分析
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| Analyzing and Imitation of Dynamic Properties for Rigid-Flexible Coupling Systems of a Spatial Flexible Beam |
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| Yan Yehao, He Xingsuo, Deng Fengyan |
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| Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| In this paper, the finite element method is used for the system discretization and the coupling dynamic equations of flexible beam are obtained by Lagrange's equations. The second order coupling terms among rigid large overall motion, arc length stretch, lateral flexible deformation kinematics and torsional deformation terms are concluded in the present exact coupling model to expand the theory of one-order coupling model. The dynamic response of the present model is compared with that of zero-order approximate model and one-order coupling model. Then changing of dynamic stiffening terms due to the new coupling terms is discussed according to different models. At the same time, the effect of initial static deformation in the tip is considered to study the vibrant deformation of flexible beam. In addition, when the overall motions are free, the rigid-flexible coupling dynamics theory is extend to spatial structure form planar structure. The difference among zero-order approximate model, one-order coupling model and the present exact model is revealed by the frequency spectrum analysis method and concludes that the speed of overall motion is a vital cause for the difference among different models. And the dynamic stiffening phenomenon still exists in rigid-flexible coupling system while the overall motion is free. But the effect of dynamic stiffening in the present exact model is not as severe as that of the one-order coupling model. |
| Key words:
dynamics models
spatial flexible beam
rigid-flexible coupling systems
dynamic properties
nonlinear methods
model analysis
numerical analysis
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| 收稿日期: 2015-10-22
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金(10672133)资助 |
| 通讯作者:
Email： |
| 作者简介: 闫业毫(1983—),西北工业大学博士研究生,主要从事航天器动力学与控制研究。
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参考文献: |
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[1] 和兴锁,邓峰岩,王睿. 具有大范围运动和非线性变形的空间柔性梁的精确动力学建模[J]. 物理学报,2010,59(3):1428-1436 He Xingsuo, Deng Fengyan, Wang Rui. Exact Dynamic Modeling of a Spatial Flexible Beam with Large Overall Motion and Nonlinear Deformation[J]. Acta Physica Sinica, 2010, 59(3): 1428-1436 (in Chinese)
[2] Deng Fengyan, He Xingsuo. Dynamics Modeling for a Rigid-Flexible Coupling System with Nonlinear Deformation Field[J]. Multibody System Dynamics, 2007,18(4): 559-578
[3] Liu Yanzhu. On Dynamics of Elastic Rod Based on Exact Cosserat Model[J]. Chinese Physics B, 2009, 18(1): 1-8
[4] 孟宗, 刘彬. 一类非线性相对转动动力系统的平衡稳定性及组合谐波近似解[J]. 物理学报, 2008, 57(3): 1329-1334 Meng Zong, Liu Bin. Stability of Equilibrium State of a Kind of Nonlinear Relative Rotation Dynamic System and Associated Harmonic Approximate Solution[J]. Acta Physica Sinica, 2008, 57(3): 1329-1334 (in Chinese)
[5] Fu Jingli, Chen Benyong. Symplectic-Energy-First Integrators of Discrete Mechanico-Electrical Dynamical Systems[J]. Chinese Physics B, 2008, 17(11): 3942-3952
[6] 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 Hui. Study on Dynamic Modeling Theory and Experiments for Rigid-Flexible Coupling Systems[D]. Shanghai, Shanghai Jiaotong University, 2002 (in Chinese)
[7] 刘锦阳. 刚-柔耦合动力学系统的建模理论研究[D]. 上海:上海交通大学,2000 Liu Jinyang. Study on Dynamics Modeling Theory of Rigid-Flexible Coupling Systems[D]. Shanghai, Shanghai Jiaotong University, 2000 (in Chinese) |
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