Active structural acoustic control based on the left eigenvector configuration
BAI Jin1 LI Sheng1,2 XIA Maolong1
1. State Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture, Dalian University of Technology, Dalian 116024, China
2. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai 200240, China
The left eigenvectors of a closed loop system were controlled to be orthogonal with the excitation force vector for the active structural acoustic control by use of the dependent modal space control (DMSC) method. The relationship between the left eigenvectors and the mode shapes of the vibration system was derived. The conclusion was drawn that the left eigenvectors of the closed loop system are also a linear combination of the left eigenvectors of its corresponding open loop system when the mode shapes of the closed loop system are a linear combination of the mode shapes of the open loop system. The left eigenvectors orthogonal with excitation force vector were constructed and the mode shapes corresponding to the constructed left eigenvectors were considered as the control target, then the control of the left eigenvectors of the closed loop system was realized by the DMSC method indirectly, and finally the active structural acoustic control was achieved. The active structural acoustic control method proposed has the characteristics of clear physical meaning, simple implementation and good sound radiation control performance. The active structural acoustic control of a rectangular simply supported plate was numerically evaluated, and the first and fourth left eigenvectors of the closed loop system were assigned to be orthogonal with the excitation force vector by the DMSC method. The results show that the control scheme proposed here is very efficient in reducing sound radiation.
白金1 黎胜1,2 夏茂龙1. 基于左特征向量配置的结构声主动控制[J]. 振动与冲击, 2018, 37(1): 66-71.
BAI Jin1 LI Sheng1,2 XIA Maolong1. Active structural acoustic control based on the left eigenvector configuration. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(1): 66-71.
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