基于有限点振速分布设计误差传感策略

误差传感策略是实现主动结构声学控制的关键的一环。在中低频率时，控制振动结构前几阶声辐射模态可以有效控制总声功率，基于声辐射模态进行板结构主动声学控制的关键是如何获得前几阶声辐射模态伴随系数。在振动平板上测量少数点振动速度分布，利用声辐射模态性质，通过求解欠定方程，得到所需要的前N阶声辐射模态伴随系数。利用得到的前N阶声辐射模态伴随系数作为控制器的输入，形成基于声辐射模态的主动控制策略和相应的误差传感策略。以固定支撑板为例，从主动控制效果分析得到的结果与理论值一致，说明利用上述误差传感策略得到前几阶声辐射模态伴随系数是可行的。

A Strategy for Designing Error Sensor Based on Limited Vibration Velocity Distributions

An error sensor strategy is a key step in implementing an active structural acoustic control(ASAC).Controlling the first few order acoustic radiation modes of a plate shows to reduce efficiently its total sound radiation at low frequency.A new sensing strategy based on acoustic radiation modes for ASAC is proposed to minimize acoustic radiation from a vibrating plate.By measuring the vibrating velocity distributions at a few points of the plate and solving the underdetermined equations of the radiation mode expansion,the adjoint coefficients of the first N radiation modes can be obtained.They are used as input of controllers to form an error sensor strategy based on radiation modes and corresponding active control strategy.For a clamped-clamped plate,numerical results from active control show the feasibility of this error sensor strategy.