基于行波与模态的混合方法对Timoshenko梁进行振动主动控制

 基于Timoshenko梁理论，采用波控制和独立模态空间混合方法，对悬臂梁的振动控制问题进行研究。采用波控制方法实现对Timoshenko梁结构的一点或多点的横向位移的振动控制。首先,基于结构的整体运动,采用模态坐标控制方法，对结构振动进行整体控制设计。而后，基于结构的局部性质，采用波方法吸收结构振动中的高频能量并求出Timoshenko梁中波的反射因数和透射因数。理论上研究了单位力扰动下的悬臂梁的振动。考虑的具体方法是将PD反馈波控制与基于极点配置法设计的模态控制相结合。最后给出数值结果。

Active Vibration Control of Timoshenko Beam Based on Hybrid Wave/Mode Method

Based on Timoshenko beam theory,a hybrid approach combining wave control to independent modal space control is presented to research the vibration control of cantilever beam.Wave control can be applied at one or more points in the structure.Modal control is applied,being designed on the basis of global motion of structure.Then wave control is designed on the basis of the local properties of the structure and is intended to absorb the vibration energy at higher frequencies.Wave reflection and transmission in beams are calculated.Vibrations of Timoshenko beam per unit disturbance are investigated in theory.The particular approach considered is that of collocated,PD feedback wave control combined with modal control designed using pole placement.At last,numerical results are presented.