柔性板振动控制中压电元件的优化布置

The Optimal Placement of Piezoelectric Films for Active Vibration Control of Flexible Plate

本文建立了压电传感器的数学模型 ,以D优化设计准则探讨了柔性板振动控制中压电元件的优化布置问题。通过构造差分格式 ,给出柔性板振动时其表面应变的数值解表达式。用有限元分析软件提取出柔性板自由振动时的低阶模态 。

The optimal placements of piezoelectric films for active vibration control of flexible plate, by the application of 'D-optimal design principle',is discussed. The mathematic model of piezoelectric sensors is established firstly. The construction of difference format provides a way to approximately express the strain of surface of flexible plate numerically. The low order modals of fleible plate are extracted by the application of FEM software, based on which the optimal location of sensors on plate can be gained for variant vibration response.