航空学报 > 1994, Vol. 15 Issue (9): 1091-1094

用试验数据修正刚度矩阵

戴华   

  1. 南京航空航天大学数理力学系,南京,210016
  • 收稿日期:1993-06-23 修回日期:1993-12-28 出版日期:1994-09-25 发布日期:1994-09-25

STIFFNESS MATRIX CORRECTIONUSING TEST DATA

Dai Hua   

  1. Department of Mathematics,Physics and Mechanics,Nanjing University of Aeronautics and Astronautics,Nanjing,210016
  • Received:1993-06-23 Revised:1993-12-28 Online:1994-09-25 Published:1994-09-25

摘要: 讨论用试验数据修正刚度矩阵的问题。依据特征方程、刚度矩阵的对称性和半正定性,利用代数特征值反问题的理论和方法,研究了这个问题解的存在性和唯一性,提出了修正刚度矩阵的一个新方法。用这个方法修正的刚度矩阵不仅满足特征方程,而且是唯一的对称半正定矩阵。

关键词: 结构模型, 动态试验, 反问题

Abstract: he problem of stiffness matrix correction using test data is discussed in this pa-per Based on the characteristic equation,the symmetry and positive semidefiniteness of stiff-ness matrix,the existence and uniqueness of solution to the problem is studied by means of tbe theory and method of the algebraic inverse eigenvalue problems. Anew method of stiffness ma-trix correction is preesented.The stiffness matrix corrected by the method not only satisfies the characteristic equation,but also is the unique symmetric positive semidefinite matrix.

Key words: structural model, dynamic experiment, inverse problem

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