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| The Existence of Control Load in Multi-points Excitation |
| Received:March 29, 2021 Revised:May 22, 2021 |
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| DOI：10.7643/issn.1672-9242.2021.07.017 |
| KeyWord:multi-point excitation vibration control load transfer function uniqueness existence |
| Author | Institution |
| HU Jie |
Institute of System Engineering, CAEP, Mianyang , China;Shock and Vibration of Engineering Materials and Structures Key Laboratory of Sichuan Province, Mianyang , China |
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| Abstract: |
| The existence criterion of control load in multi-point vibration test is given, and the numerical simulation analysis method of control load is established. Based on the discussion of control load number and target response number, according to the size relation comparison of transfer function matrix with the augmented matrix, the existence of control load in multi-points vibration environment test is studied. Furthermore, aiming at that only the amplitude of multi-points is controlled at present, the existence conclusion is modified because the phase difference is ignored, and the analysis methods of control load under different working conditions are established via theoretical deduction and numerical optimization. For the condition of controlling amplitude and phase simultaneously, if the transfer matrix rank Rc is equal to its augmented matrix rank Rz, both full rank, there is an uniqueness existence of control load; if Rc is equal to Rz, but not full rank, the existence of control load is not unique; if Rc is less than Rz, the control load could not be found. As for the condition of only controlling amplitude of response in practical engineering application, if Rc is equal to Rz, the existence of control load is not unique; if Rc is less than Rz, the control load still exists at some frequency point. The transfer relation between control load and the response amplitude in multi-point excitation is nonlinear; for the state of controlling more points with less load equipment, with engineering significance, the control load still exists in specified frequency range in the limitation of control tolerance. |
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