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复合柔性结构全局模态函数提取与状态空间模型构建

魏进 曹登庆 于涛

魏进, 曹登庆, 于涛. 复合柔性结构全局模态函数提取与状态空间模型构建[J]. 力学学报, 2019, 51(2): 341-353. doi: 10.6052/0459-1879-18-356
引用本文: 魏进, 曹登庆, 于涛. 复合柔性结构全局模态函数提取与状态空间模型构建[J]. 力学学报, 2019, 51(2): 341-353. doi: 10.6052/0459-1879-18-356
Jin Wei, Dengqing Cao, Tao Yu. EXTRACTION OF GLOBAL MODE FUNCTIONS AND CONSTRUCTION OF STATE SPACE MODEL FOR A COMPOSITE FLEXIBLE STRUCTURE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(2): 341-353. doi: 10.6052/0459-1879-18-356
Citation: Jin Wei, Dengqing Cao, Tao Yu. EXTRACTION OF GLOBAL MODE FUNCTIONS AND CONSTRUCTION OF STATE SPACE MODEL FOR A COMPOSITE FLEXIBLE STRUCTURE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(2): 341-353. doi: 10.6052/0459-1879-18-356

复合柔性结构全局模态函数提取与状态空间模型构建

doi: 10.6052/0459-1879-18-356
基金项目: 国家自然科学基金重点项目资助(11732005)
详细信息
    作者简介:

    2) 曹登庆,教授,主要研究方向:结构动力学与振动控制. E-mail: dqcao@hit.edu.cn

  • 中图分类号: TB122

EXTRACTION OF GLOBAL MODE FUNCTIONS AND CONSTRUCTION OF STATE SPACE MODEL FOR A COMPOSITE FLEXIBLE STRUCTURE

  • 摘要: 随着航空航天等领域中实际工程结构的大型化和柔性化,结构的非线性振动和主动振动控制问题越来越凸显.分析和处理此类结构出现的复杂振动问题的关键在于建立系统的非线性动力学模型与状态空间模型.对于由柔性部件、刚体、连接部件构成的复合柔性结构,由于各部件之间的振动耦合效应,单个柔性部件在悬臂、简支和自由等静定边界下的模态与结构的真实模态有较大差异.为此,本文提出复合柔性结构全局模态的解析提取方法,通过全局模态离散得到系统非线性动力学模型,从而构建状态空间模型.该方法采用笛卡尔坐标描述系统的运动,建立系统的运动方程;结合描述柔性部件的偏微分方程、刚体的常微分运动方程、连接界面处力、力矩、位移和转角的匹配条件以及系统的边界条件,利用分离变量法给出统一形式的频率方程,获取系统的固有频率和解析函数表征的全局模态.这里提出的全局模态提取方法不仅便于复合柔性结构固有频率和全局模态的参数化分析,而且为建立复合柔性结构低维非线性动力学模型和状态空间模型提供了有效的途径,对于推进这类结构的非线性动力学分析与主动振动控制研究具有重要意义.

     

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出版历程
  • 收稿日期:  2018-10-28
  • 刊出日期:  2019-03-18

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