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

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

1.
浙江大学宁波理工学院,宁波315100
2. 南京理工大学理学院,南京210094
3. 上海交通大学工程力学系,上海200240

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
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- 被引次数: 0
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

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

1.
Ningbo institute of Technology, Zhejiang University, Ningbo 315100, China
2. School of Sciences, Nanjing University of Science and Technology, Nanjing 210094, China
3. Dept. of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200240, China

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

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.
- 柔性梁 /
- 高次耦合 /
- 动力学 /
- 大变形
Abstract: The dynamic modeling theory of a flexible beam which is rotating in a plane is further studied, and the highorder coupling dynamic model is investigated here. Both the transversal deformation and the longitudinal deformation of the flexible beam are considered. And the non-linear coupling deformation term, also known as the longitudinal shortening term caused by transversal deformation, is considered here. The high-order terms related to the non-linear coupling term are retained, which are ignored in the first-order approximation coupling modeling. Thus, we can get the rigid-flexible coupling dynamic equations of the system. The high-order coupling model can not only be used in small deformation case, but also in large deformation case. Then simulations, compared to the absolute nodal coordinate formulation and the first-order coupling model, are given to prove the validity of the high-order coupling model. And the results show that the high-order coupling model can make up for the deficiency of the first-order approximation coupling model in the large deformation situation.
- flexible beam /
- high-order coupling /
- dynamics /
- large deformation

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参考文献(16)

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