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1·The modal matrix expansion of the cross power spectra of the multi-measurement acceleration response in the multi-DOF structure is derived in detail.

详细推导了多自由度结构多测点加速度响应的互功率谱模态矩阵展开式。

2·The complex modal analysis method is generalized to the cases in which stiffness matrix may be singular and mass matrix, damping matrix and stiffness may be nonsymmetric.

把复模态分析法推广到刚度矩阵可以奇导且质量矩阵、阻尼矩阵和刚度矩阵均不必为对称的情形。

3·Focusing on this problem, a modal parameters identification algorithm based on left matrix fraction description of FRF was proposed.

针对该问题，提出一种基于频响函数左矩阵分式模型的模态参数识别方法。

4·An efficient numerical method for simultaneously updating mass matrix and stiffness matrix of a finite element analytical model based on incomplete modal data measured is presented.

提出一种基于不完全模态测量数据同时修正有限元质量矩阵与刚度矩阵的有效数值方法。

5·Using the matrix theory, we derived the modal matrices of some parameter matrices in transformation, and discussed the transformation with principle of power invariance also.

用矩阵理论求出几种形式的参数矩阵变换时的模态矩阵，并讨论了功率不变原则下的变换。

6·By modal stiffness matrix, modal mass matrix and modal frequency, shaft units of simulator is designed. The former three steps natural characteristics are identical with the real units'.

依据设计原则，利用模态刚度矩阵、模态质量矩阵和模态频率相似进行了扭振模拟机轴系的设计，扭振模拟机轴系前三阶固有特性与实际机组轴系扭振动特性基本一致。

7·The optical beam transfer matrix method is used to analyze the transfer manners and the distribution of waveguide modal field in detail.

采用光束传输矩阵法详尽地分析了光束在波导中的传输方式，模场分布。

8·It shows that the presented method can be used to identify modal parameters effectively under ambient excitation and that the polynomial eigenvalue method is superior to the augmented matrix method.

结果表明，多参考点互相关差分模型能够有效地进行环境激励下的模态识别，并且多项式特征值法比增广矩阵法所得结果更好。

9·A method for computing the gain matrix is given based on the modal coordinate equation.

在广义模态坐标的基础上讨论了增益矩阵的计算方法。

10·It is necessary and useful in engineering to modify a finite element model or some elements of mass and stiffness matrix by using modal test results.

利用试验模态分析结果，对有限元力学模型本身或其中某些参数进行修改是必要的和有工程意义的。