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大变形旋转柔性梁的一种高次刚柔耦合动力学模型

陈思佳 章定国 洪嘉振

陈思佳, 章定国, 洪嘉振. 大变形旋转柔性梁的一种高次刚柔耦合动力学模型[J]. 力学学报, 2013, 45(2): 251-256. doi: 10.6052/0459-1879-12-221
引用本文: 陈思佳, 章定国, 洪嘉振. 大变形旋转柔性梁的一种高次刚柔耦合动力学模型[J]. 力学学报, 2013, 45(2): 251-256. doi: 10.6052/0459-1879-12-221
Chen Sijia, Zhang Dingguo, Hong Jiazhen. A HIGH-ORDER RIGID-FLEXIBLE COUPLING MODEL OF A ROTATING FLEXIBLE BEAM UNDER LARGE DEFORMATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 251-256. doi: 10.6052/0459-1879-12-221
Citation: Chen Sijia, Zhang Dingguo, Hong Jiazhen. A HIGH-ORDER RIGID-FLEXIBLE COUPLING MODEL OF A ROTATING FLEXIBLE BEAM UNDER LARGE DEFORMATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 251-256. doi: 10.6052/0459-1879-12-221

大变形旋转柔性梁的一种高次刚柔耦合动力学模型

doi: 10.6052/0459-1879-12-221
基金项目: 国家自然科学基金(11272155,11132007,10772085)和江苏省“333工程”(BRA2011172)资助项目.
详细信息
    通讯作者:

    陈思佳,讲师,主要研究方向:多体系统动力学.E-mail:chensijianj@163.com

  • 中图分类号: O313.7

A HIGH-ORDER RIGID-FLEXIBLE COUPLING MODEL OF A ROTATING FLEXIBLE BEAM UNDER LARGE DEFORMATION

Funds: The project was supported by the National Natural Science Foundations of China (11272155, 11132007, 10772085) and 333 Project of Jiangsu Province (BRA2011172).
  • 摘要: 对在平面内做大范围转动的中心刚体-柔性梁系统的刚柔耦合建模理论进行了深入研究,建立了系统的高次耦合动力学模型. 该动力学模型考虑了柔性梁横向弯曲变形和纵向伸长变形,且在纵向位移中计及由于横向变形而引起的纵向缩短项,即非线性耦合变形项,并保留了与非线性耦合项相关的一些高阶项,最终得到了系统的高次刚柔耦合动力学方程. 由此得到的动力学方程不仅能适用于柔性梁的小变形问题,也同样适用于大变形问题,弥补了一次近似耦合模型在处理柔性梁大变形问题上的不足. 通过与绝对节点坐标法以及一次近似耦合模型的对比验证了高次耦合模型的正确性.

     

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出版历程
  • 收稿日期:  2012-08-10
  • 修回日期:  2012-10-12
  • 刊出日期:  2013-03-18

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