Multiple-input multiple-output non-stationary non-Gaussian random vibration control by inverse system method

2019 ◽  
Vol 124 ◽  
pp. 124-141 ◽  
Author(s):  
Ronghui Zheng ◽  
Huaihai Chen ◽  
Xudong He ◽  
Dirk Vandepitte
Keyword(s):  
Vibration Control ◽  
Random Vibration ◽  
Multiple Input Multiple Output ◽  
Inverse System ◽  
Inverse System Method ◽  
System Method ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Non Gaussian

Complex Coherence Constraint for the Definition of the Spectral Density Matrix

2018 ◽  
Vol 61 (1) ◽  
pp. 7-19
Author(s):  
Zhihua Liu ◽  
Chenguang Cai ◽  
Yan Xia ◽  
Ming Yang
Keyword(s):  
Density Matrix ◽  
Spectral Density ◽  
Random Vibration ◽  
Multiple Input Multiple Output ◽  
New Approach ◽  
Spectral Density Matrix ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Recursive Formulas ◽  
Definition Of

Abstract The cross spectral density (CSD) for a multiple-input/multiple-output (MIMO) random vibration is typically defined by the complex coherence consisting of the modulus and the phase. The purpose of this paper is to present a constraint for the complex coherence to allow the CSD to be defined more easily. The study of the complex coherence constraint is based on Cholesky decomposition of the spectral density matrix (SDM). The complex coherence must be bounded in the interior or on the boundary of a constraint circle to ensure a physically realizable random vibration. This paper proposes a new approach to define the complex coherences of the SDM by using recursive formulas based on the constraint circle.

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