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基于時域聲輻射模態(tài)的板結(jié)構(gòu)振動H∞主動控制
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    摘要:

    基于時域聲輻射模態(tài),通過前幾階聲輻射模態(tài)伴隨系數(shù)使結(jié)構(gòu)振動輻射的聲功率最小化,建立了包含有干擾力和控制力的結(jié)構(gòu)振動狀態(tài)空間方程?;贖∞控制策略,以多個點力作動器為控制力源,建立以時域聲輻射模態(tài)伴隨系數(shù)為輸出反饋的控制模型。以簡支板為例,分別作用1個和2個控制力,討論了主動控制的效果。仿真計算表明,采用H∞控制策略可使輻射聲功率明顯降低,有效地實現(xiàn)了基于聲輻射模態(tài)的主動控制策略。而且增加控制力個數(shù)后,輻射聲功率進一步下降,同時M個作用力能抵消前M階聲輻射模態(tài)的聲功率。

    Abstract:

    Based on time radiation modes, using the first several acoustic radiation adjoint coefficients to minimize the acoustic power from vibrating structure, is a new strategy in active control. State space equations from the structure vibration system with disturbing forces and controlling forces were presented. Using several point force actuators as control sources, the control model based on time adjoint coefficients was built via H∞ control theory. Taking a baffled rectangular plate as an example, the model was studied using one and two controlling forces respectively, and the effect of active control was discussed. Finally, the simulation results indicate that the acoustic power decreases obviously via H∞ control strategy, which effectively make the active control strategy based on radiation modes come true. Besides, the radiated power decreases more with more controlling forces, and it is demonstrated that using M controlling forces can counteract the first M radiated power.  

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宋麗艷,姜哲.基于時域聲輻射模態(tài)的板結(jié)構(gòu)振動H∞主動控制[J].農(nóng)業(yè)機械學(xué)報,2008,39(7):183-187.[J]. Transactions of the Chinese Society for Agricultural Machinery,2008,39(7):183-187.

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