用加速度和位移反馈修正无阻尼振动系统的一种迭代法

Abstract

Abstract: In this paper, an iterative method for simultaneously updating mass and stiffness matrices is presented. By the method, the required control gain matrices of acceleration and displacement feedback are determined, and thus the optimal approximation mass and stiffness matrices which satisfies the required eigenvalue equation are found under the Frobenius norm sense and the large number of unmeasured and unknown eigeninformation of the original model is preserved. Two numerical examples show that the proposed method is reliable and attractive.

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

CLC Number:

O241

Zhang Qian, Yuan Yongxin. An Iterative Updating Method for Undamped Vibration Systems Using Acceleration and Displacement Feedback[J].Acta mathematica scientia,Series A, 2018, 38(2): 358-371.

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References

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An Iterative Updating Method for Undamped Vibration Systems Using Acceleration and Displacement Feedback

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