弹性圆柱壳结构振动有源控制理论分析

以两端为简支边界条件的弹性圆柱壳为研究对象，基于Donnell—Mushtari的壳理论分析了圆柱壳自由振动固有频率和结构模态，应用模态叠加方法得出圆柱壳在简谐点力激励下的响应。采用不同控制策略，对圆柱壳结构振动进行有源控制，并结合二次最优理论建立圆柱壳振动有源控制理论模型，得出不同控制策略下的最优次级力。基于所建模型进行计算机仿真，对两种控制策略下圆柱壳结构振动有源控制进行比较分析，所得结论对圆柱壳结构有源控制相关研究具有参考意义。

Theoretical Analysis of Active Vibration Control of Elastic Cylindrical Shell

The elastic cylindrical shell with pin-connected end conditions is used as a model for analysis. Natural frequencies and vibration modes are obtained using the Donnell-Mushtari shell theory. The structural response of the cylindrical shell to the harmonic concentrated force excitation is derived applying mode supposition method. Analysis of active vibration control of the cylindrical shell is performed for different control strategies. The optimal secondary forces are calculated by applying the quadratic optimal control theory for different control strategies. Based on the model developed, computer simulations are carried out. Active vibration controls of the cylindrical shell due to two control strategies are compared with each other. The conclusion obtained is beneficial for further study in this area.