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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

和兴锁 邓峰岩 王睿

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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

和兴锁, 邓峰岩, 王睿

Exact dynamic modeling of a spatial flexible beam with large overall motion and nonlinear deformation

He Xing-Suo, Deng Feng-Yan, Wang Rui
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  • 研究具有大范围运动和非线性变形的空间柔性梁的有限元动力学建模.首先在精确描述空间柔性梁的非线性变形的基础上,采用有限元方法对梁结构进行离散,导出其动能、势能及外力对应的广义力,然后利用Lagrange方程建立了空间柔性梁的精确动力学方程.该方程在原有一次耦合模型的基础上,增加了新的表征纵向、横向、侧向弯曲变形,以及扭转变形的耦合项,同时包含了变形运动与大范围运动之间的相互耦合项.本建模方法和所得结论可为以后空间柔性梁的动力学特性分析作以参考.
    In this paper, the dynamic modeling theory of a spatial flexible beam, which undergoes large overall motion and nonlinear deformation, is investigated. As we know, in spacecraft and space station, there are a lot of flexible appendices so the dynamic modeling of a flexible beam is essential. Yet the existing models, in our opinion, lack several important coupling terms. This paper supplies these important coupling terms. Based on the new approach of deformation of fully geometrically nonlinear beam model developed,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 complete expression of stiffness matrix and all coupling terms are included in the dynamic equations. The second order coupling terms between rigid large overall motion, arc length stretch, lateral flexible deformation kinematics and torsional deformation terms are included in the present exact coupling model to expand the theory of one-order coupling model. The dynamic modeling method in this paper is of theoretical significance and has reference value for the rigid-flexible coupling system dynamic investigation .
    • 基金项目: 国家自然科学基金(批准号:10672133)资助的课题.
    [1]

    [1]Wang H B, Li J 2007 Acta Phys. Sin. 56 25041(in Chinese)[王洪波、李杰 2007 物理学报 56 2504]

    [2]

    [2]Liu Y Z 2009 Chin. Phys. B 18 1

    [3]

    [3]Zhang S Q 2008 Acta Phys. Sin. 57 1335(in Chinese)[张善卿 2008 物理学报 57 1335]

    [4]

    [4]Meng Z, Liu B 2008 Acta Phys. Sin. 57 1329(in Chinese)[孟宗、刘彬 2008 物理学报 57 1329]

    [5]

    [5]Xue Y, Weng D W 2009 Acta Phys. Sin. 58 34(in Chinese)[薛纭、翁德玮 2009 物理学报 58 34]

    [6]

    [6]Ge W K 2008 Acta Phys. Sin. 57 6714(in Chinese)[葛伟宽 2008 物理学报 57 6714]

    [7]

    [7]Jiang Z L, Hong J Z 1999 Journal of Vibration and Shock 18 10 (in Chinese)[蒋丽忠、洪嘉振 1999 振动与冲击 18 10]

    [8]

    [8]Deng F Y, He X S, Li L, Zhang J 2007 Multibody Syst Dyn . 18 559

    [9]

    [9]Liu C, Liu S X, Mei F X, Guo Y X 2008 Acta Phys. Sin. 57 6709(in Chinese)[刘畅、刘世兴、梅凤翔、郭永新 2008 物理学报 57 6709]

    [10]

    [10]Fu J L, Chen B Y, Tang Y F, Fu H 2008 Chin. Phys. B 17 3942

    [11]

    [11]Lin P, Fang J H, Pang T 2008 Chin. Phys. B 17 4361

    [12]

    [12]Liu J Y 2000 PhD thesis (Shanghai:Shanghai Jiaotong Uni.)(in Chinese)[刘锦阳 2000 博士毕业论文(上海:上海交通大学)]

    [13]

    [13]Yang H 2002 PhD thesis(Shanghai:Shanghai Jiao Tong Uni.)(in Chinese)[杨辉 2002 博士毕业论文,上海:上海交通大学]

    [14]

    [14]Lu Y F 1996 Dynamics of Flexible Multibody Systems (Beijing:Higher Education Press) (in Chinese)[陆佑方 1993 柔性多体系统动力学(高等教育出版社)]

    [15]

    [15]Mei F X, Xie J F, Jiang T Q 2008 Acta Phys. Sin. 57 4649(in Chinese)[梅凤翔、解加芳、江铁强 2008 物理学报 57 4649]

    [16]

    [16]Bai C L, Zhang X, Zhang L H 2009 Chin. Phys. B 18 475

  • [1]

    [1]Wang H B, Li J 2007 Acta Phys. Sin. 56 25041(in Chinese)[王洪波、李杰 2007 物理学报 56 2504]

    [2]

    [2]Liu Y Z 2009 Chin. Phys. B 18 1

    [3]

    [3]Zhang S Q 2008 Acta Phys. Sin. 57 1335(in Chinese)[张善卿 2008 物理学报 57 1335]

    [4]

    [4]Meng Z, Liu B 2008 Acta Phys. Sin. 57 1329(in Chinese)[孟宗、刘彬 2008 物理学报 57 1329]

    [5]

    [5]Xue Y, Weng D W 2009 Acta Phys. Sin. 58 34(in Chinese)[薛纭、翁德玮 2009 物理学报 58 34]

    [6]

    [6]Ge W K 2008 Acta Phys. Sin. 57 6714(in Chinese)[葛伟宽 2008 物理学报 57 6714]

    [7]

    [7]Jiang Z L, Hong J Z 1999 Journal of Vibration and Shock 18 10 (in Chinese)[蒋丽忠、洪嘉振 1999 振动与冲击 18 10]

    [8]

    [8]Deng F Y, He X S, Li L, Zhang J 2007 Multibody Syst Dyn . 18 559

    [9]

    [9]Liu C, Liu S X, Mei F X, Guo Y X 2008 Acta Phys. Sin. 57 6709(in Chinese)[刘畅、刘世兴、梅凤翔、郭永新 2008 物理学报 57 6709]

    [10]

    [10]Fu J L, Chen B Y, Tang Y F, Fu H 2008 Chin. Phys. B 17 3942

    [11]

    [11]Lin P, Fang J H, Pang T 2008 Chin. Phys. B 17 4361

    [12]

    [12]Liu J Y 2000 PhD thesis (Shanghai:Shanghai Jiaotong Uni.)(in Chinese)[刘锦阳 2000 博士毕业论文(上海:上海交通大学)]

    [13]

    [13]Yang H 2002 PhD thesis(Shanghai:Shanghai Jiao Tong Uni.)(in Chinese)[杨辉 2002 博士毕业论文,上海:上海交通大学]

    [14]

    [14]Lu Y F 1996 Dynamics of Flexible Multibody Systems (Beijing:Higher Education Press) (in Chinese)[陆佑方 1993 柔性多体系统动力学(高等教育出版社)]

    [15]

    [15]Mei F X, Xie J F, Jiang T Q 2008 Acta Phys. Sin. 57 4649(in Chinese)[梅凤翔、解加芳、江铁强 2008 物理学报 57 4649]

    [16]

    [16]Bai C L, Zhang X, Zhang L H 2009 Chin. Phys. B 18 475

计量
  • 文章访问数:  7571
  • PDF下载量:  1005
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-05-20
  • 修回日期:  2009-06-25
  • 刊出日期:  2010-03-15

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