中文摘要：

运用代数特征值反问题的理论和方法, 研究了一类无阻尼结构系统的模型修正问题, 提出了一个新的修正方法. 该方法利用自由度不完整的振型数据修正质量矩阵与刚度矩阵, 修正过程是保持对称性与无溢出的; 同时分析了问题的可解性, 并给出了一个求解问题对称解的迭代算法. 数值试验表明, 提出的算法是有效的.

英文摘要：

By means of the theory and method of the algebraic inverse eigenvalue problems, a model updating problem of undamped structure systems is investigated, and a new method to solve this problem is given. This method can update the mass and stiffness matrices using the incomplete measured modal data, and is symmetric-preserving and no spill-over. Moreover, the solvability condition of the problem is analysed, and an iterative algorithm of getting the symmetric solution is presented. Numerical example shows that our method is effective.