Partial eigenstructure assignment for undamped vibration systems using acceleration and displacement feedback

Zhang, Jia Fan; Ouyang, Huajiang; Yang, Jun

doi:10.1016/j.jsv.2013.08.040

Cited by 53 publications

(40 citation statements)

References 32 publications

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“…Note that the studies in the works by Zhang et al [22] , Chu and Datta [23] , Datta [24] , Nichols and Kautsky [25] , Datta et al [26] , Datta and Sarkissian [27] and Lin and Wang [28] lead to a feedback design problem for a second-order control system. That consideration eventually results in either a full or a partial eigenstructure assignment for the eigenvalue problem.…”

Section: Problemmentioning

confidence: 99%

Analytical dynamic model modification using acceleration and displacement feedback

Yuan

Zhao

Líu

2016

Applied Mathematical Modelling

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a b s t r a c tAn efficient numerical method for updating finite element models with incomplete modal measured data using acceleration and displacement feedback technique is developed. By the method, the required control gain matrices of acceleration and displacement feedback are determined, and thus the optimal approximation mass matrix and stiffness matrix which satisfy the required orthogonality relation and eigenvalue equation are found under the Frobenius norm sense. The procedure of this method is very simple and easy to realize and the solution of this problem have a compact expression. The numerical examples show that the modal measured data are better incorporated into the updated model.

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Section: Problemmentioning

confidence: 99%

Analytical dynamic model modification using acceleration and displacement feedback

Yuan

Zhao

Líu

2016

Applied Mathematical Modelling

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“…From the open literature, it may be concluded that most researchers used acceleration, velocity, and displacement feedback to assign eigen data of vibration systems. 21 In this paper, a modal pole assignment control method is proposed, which is based entirely upon sound data, not vibration data.…”

Section: Introductionmentioning

confidence: 99%

Simulation study of active control of vibro-acoustic response by sound pressure feedback using modal pole assignment strategy

2016

Journal of Low Frequency Noise, Vibration and Active Control

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The active control of vibro-acoustic response using sound pressure feedback is numerically studied. An output feedback approach based on sound pressure measurement for modal pole placement is proposed. The control performance is evaluated for the case of a baffled plate. The finite element method and the Rayleigh integral are used to model the structural vibration and sound radiation. Measures of observability of a mode in pressure outputs and the effect of time delay in the pressure feedback loop are discussed. Numerical results show that the chosen poles may be assigned to predetermined values by the active control with complex gains. It is also demonstrated that the pressure feedback control may make a very large reduction in acoustic radiation and structural vibration of the controlled modes in a wide frequency band when using constant gain at a lower frequency.

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“…This problem is called partial eigenvalue or eigenstructure assignment. Some major effort can be seen from the literature to tackle this problem, for example, in [1][2][3][4][5][6][7][8][9][10][11][12][13][14] on damped and undamped second-order vibration systems.…”

Section: Introductionmentioning

confidence: 99%

Static output feedback for partial eigenstructure assignment of undamped vibration systems

Zhang

Ouyang

2016

Mechanical Systems and Signal Processing

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Partial eigenstructure assignment for undamped vibration systems using acceleration and displacement feedback

Cited by 53 publications

References 32 publications

Analytical dynamic model modification using acceleration and displacement feedback

Analytical dynamic model modification using acceleration and displacement feedback

Simulation study of active control of vibro-acoustic response by sound pressure feedback using modal pole assignment strategy

Static output feedback for partial eigenstructure assignment of undamped vibration systems

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