旋转薄板的一种高次动力学模型与频率转向

方建士; 章定国

doi:10.6052/0459-1879-15-194

旋转薄板的一种高次动力学模型与频率转向

doi: 10.6052/0459-1879-15-194

方建士¹,
章定国^2, ,

1.
南京工程学院材料工程学院, 南京 211167
2. 南京理工大学理学院, 南京 210094

基金项目: 国家自然科学基金(11302096,11272155,11132007),江苏省“333工程”(BRA2011172)和中央高校基本科研业务专项资金(30920130112009)资助项目.

详细信息

通讯作者:
章定国,教授,主要研究方向:多体系统动力学和控制.E-mail:zhangdg419@mail.njust.edu.cn

中图分类号: O313.7;O326
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- 被引次数: 0
出版历程
- 收稿日期: 2015-05-29
- 修回日期: 2015-08-21
- 刊出日期: 2016-01-18

A HIGH-ORDER RIGID-FLEXIBLE COUPLING MODEL AND FREQUENCY VEERING OF A ROTATING CANTILEVER THIN PLATE

Fang Jianshi¹,
Zhang Dingguo^{2
, ,}

1.
School of Materials Engineering, Nanjing Institute of Technology, Nanjing 211167, China
2. School of Sciences, Nanjing University of Science and Technology, Nanjing 210094, China

摘要

摘要: 对固结于转动刚体上柔性薄板的刚柔耦合动力学和频率转向特性进行了深入研究,建立了系统的高次刚柔耦合动力学模型,该动力学模型计入了由于横向变形而引起的面内纵向缩短项,即非线性耦合变形量,并且完整保留了与非线性耦合变形量相关的所有项. 研究表明,高次耦合模型不仅适用于小变形问题,而且还适用于大变形问题,弥补了一次近似耦合模型在处理大变形问题上的不足. 旋转悬臂薄板相邻两阶模态间既有柔和的频率转向现象也有剧烈的频率转向现象. 柔和的频率转向伴随着的振型转换的过程是连续的,而剧烈的频率转向伴随着的振型转换的过程则是不连续的. 相隔多阶模态间存在传递性频率转向,并伴随着振型转移.
- 旋转薄板 /
- 高次耦合模型 /
- 动力学 /
- 频率转向 /
- 振型转换
Abstract: The rigid-flexible coupling dynamics and frequency veering of a thin flexible plate on a rotating rigid body are further studied. The high-order coupling (HOC) dynamic model is derived by Lagrange's equations. The in-plane longitudinal shortening terms caused by lateral deformation, generally called non-linear coupling deformation terms, are considered here. Furthermore, all derived items associated with the non-linear coupling terms are retained completely in the HOC model. The HOC model can not only be applied in the small deformation case, but also in the large deformation case, and makes up the deficiency of the first-order approximation coupling (FOAC) model in the large deformation case. In addition, the frequency veering phenomena along with the corresponding mode shape variations are exhibited and discussed in detail. When two frequency loci veer, the nodal line patterns of the mode shapes switch their shapes each other, and the changes of the nodal line patterns are continuous in the mild veering region, while those in the abrupt veering region are discontinuous. The transitive frequency veerings among the multiple modes accompanied by mode shape transfer are also exhibited.
- rotating thin plate /
- high-order coupling model /
- dynamics /
- frequency veering /
- mode shape interaction

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参考文献(13)

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