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本文针对具有大范围运动和非线性变形的空间柔性梁, 导出其在运动规律已知的非惯性坐标系下的动力学方程. 通过计算分析, 发现在本文精确模型下, 其各矩阵项较原来的一次耦合模型增加了两类耦合项. 通过仿真研究, 发现由于这两类耦合项的作用造成了附加刚度项K1、动力刚度项Kd 的变化, 而刚度项对结构的动力学特性具有较大的影响.
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关键词:
- 大范围运动和非线性变形 /
- 空间柔性梁 /
- 非惯性坐标系 /
- 动力学分析
In this paper, the dynamic properties of a spatial flexible beam with large overall motion and nonlinear deformation in non-inertial reference frame are investigated. The dynamic response of the present model is compared with those 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 on the tip is considered to study the vibrant deformation of flexible beam. In addition, when the overall motion is free, the rigid-flexible coupling dynamic theory is extended to spatial structure from 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 a rigid-flexible coupling system while the overall motion is free.-
Keywords:
- large overall motion and nonlinear deformation /
- spatial flexible beam /
- non-inertial reference frame /
- dynamic analysis
[1] Fu J L, Chen B Y, Tang Y F, Fu H 2008 Chin. Phys. 17 3942
[2] Fu J L,Chen L Q, Liu R W 2004 Chin. Phys. 13 1748
[3] Liu Y Z 2009 Chin. Phys. B 18 1
[4] Fu J L, Chen B Y, Fu H, Zhao G L, Liu R W, Zhu Z Y, 2011 Sci. Chin. Phys. Mech. Astron. 54 288
[5] Fu J L, Chen B Y, Chen L Q 2010 Chin. Phys. Mech. Astron. 53 1687
[6] He X S,Deng F Y 2010 Acta Phys. Sin. 59 1 (in Chinese) [和兴锁, 邓峰岩 2009 59 1]
[7] He X S,Deng F Y 2010 Acta Phys. Sin. 59 1434 (in Chinese) [和兴锁, 邓峰岩 2010 59 1434]
[8] Liu J Y 2000 Ph. D. Thesis (Shanghai: Shanghai Jiao tong University), (in Chinese) [刘锦阳 2000 博士论文, (上海: 上海交通大学)]
[9] Deng F Y, He X S, Li L, Zhang J 2007 Multibody Syst. Dyn. 18 559
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[1] Fu J L, Chen B Y, Tang Y F, Fu H 2008 Chin. Phys. 17 3942
[2] Fu J L,Chen L Q, Liu R W 2004 Chin. Phys. 13 1748
[3] Liu Y Z 2009 Chin. Phys. B 18 1
[4] Fu J L, Chen B Y, Fu H, Zhao G L, Liu R W, Zhu Z Y, 2011 Sci. Chin. Phys. Mech. Astron. 54 288
[5] Fu J L, Chen B Y, Chen L Q 2010 Chin. Phys. Mech. Astron. 53 1687
[6] He X S,Deng F Y 2010 Acta Phys. Sin. 59 1 (in Chinese) [和兴锁, 邓峰岩 2009 59 1]
[7] He X S,Deng F Y 2010 Acta Phys. Sin. 59 1434 (in Chinese) [和兴锁, 邓峰岩 2010 59 1434]
[8] Liu J Y 2000 Ph. D. Thesis (Shanghai: Shanghai Jiao tong University), (in Chinese) [刘锦阳 2000 博士论文, (上海: 上海交通大学)]
[9] Deng F Y, He X S, Li L, Zhang J 2007 Multibody Syst. Dyn. 18 559
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