修正无阻尼结构系统的一种有效迭代法

Abstract

Abstract:

Structural dynamics model updating is a procedure to minimize the differences between analytical and experimental results. In this paper, an iterative method for simultaneously updating mass and stiffness matrices based on incomplete modal measured data is presented. By the method, the optimal approximation mass and stiffness matrices which satisfy the required eigenvalue equation can be obtained within finite iteration steps in the absence of roundoff errors by choosing a special kind of initial matrix pair. The large number of unmeasured and unknown eigeninformation of the original model is preserved. Two numerical examples show that the introduced iterative algorithm is quite efficient.

Key words: Model updating, Iterative algorithm, Partially prescribed spectral information, No spill-over, Undamped structural system, Optimal approximation

CLC Number:

O241

Yuan Yongxin, Zhao Wenhua, Liu Hao. An Effective Iterative Updating Method for Undamped Structural Systems[J].Acta mathematica scientia,Series A, 2016, 36(5): 886-900.

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References

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An Effective Iterative Updating Method for Undamped Structural Systems

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