模型修正中一种特殊广义逆的性质与功能

PROPERTY OF A SPECIAL GENERALIZED INVERSE IN THE MODEL CORRECTION

本文对一种特殊的广义逆矩阵在模型修正中使用时可能具有的性质与功能给予了间接的论证,从而为这种广义逆的进一步应用给予了提示。该论证表明,这种广义逆不仅具有增补方程个数的作用,而且还具有对修正模型的参考基增补高阶理论模态信息的功能。通过本文论证,文[2][4]之解的唯一性问题明确解决了,即为一个实用完备模态空间中的确定解。

The property and function of a special generalized inverse matrix in the model correction has been indirectly demonstrated in this paper. This shows that not only the generalized inverse plays a role in adding the number of equations needed for obtaining a definite solution, but also it can introduce the high-order mode information of FE-model into 'reference basis' for updating dynamic model. In addition, the demonstration has also revealed the uniqueness of the solution in Ref. 2 and 4, which is a definite one in practical complete modal space.