中国空间科学技术

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基于模态测试数据的阻尼矩阵与陀螺矩阵的修正

袁永新;戴华;   

  1. 南京航空航天大学理学院,南京航空航天大学理学院 南京210016,南京210016
  • 发布日期:2007-06-25

Direct Updating of the Damping and Gyroscopic Matrices based on Incomplete Complex Modal Measured Data

Yuan Yongxin Dai Hua(College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 210016)   

  • Online:2007-06-25
  • Supported by:
    国家自然科学基金资助项目(编号:10271055)

摘要: 提出了一种基于不完备复模态测量数据修正阻尼陀螺系统有限元模型的有效数值方法。在假定分析质量矩阵与刚度矩阵是精确的情况下,通过求解一个约束最优化问题,得到了满足特征方程的加权Frobenius范数意义下的最优修正矩阵。

关键词: 有限元模型, 阻尼陀螺系统, 模型修正, 模态数据, 结构设计

Abstract: An efficient numerical method for the finite-element model updating of damped gyroscopic system was developed based on incomplete complex modal measured data.It was assumed that the analytical mass and stiffness matrices were correct and only the damping and gyroscopic matrices need to be updated.By solving a constrained optimization problem,the optimal corrected damping matrix and skew-symmetric gyroscopic matrix complied with the required eigenvalue equation were found under a weighted Frobenius norm sense.