考虑阻尼时压电堆相对长度对压电主元杆件动力稳定性的影响

The affect of the pivot element bar's dynamic stability with the relative length of piezoelectric stacks considering the damps

以能量原理的稳定性理论为基准,通过基于不考虑线性阻尼的动力稳定性方程建立压电堆主元杆件稳定性方程,从而求解其主元杆件在这两种情况下的第一动力不稳定区域,同时考虑不同机电驱动力对第一动力不稳定区域的影响,结果表明,机电驱动力的增大可减小第一动力稳定失稳区域。并利用Matlab软件模拟了考虑阻尼压电堆相对长度对主元杆件第一动力不稳定区域的影响,结果表明,压电堆总长度小于等于总长的一半时,随着压电堆长度增长结构振动控制效果越为明显,从而确定一个适合实际工程的压电堆相对长度值。

Starting from the referential stability theory of energy principle, the dynamic stability equation is established on the basis of the dynamic stability equation that does not consider damping element. Then get the main element rods＇ first dynamical instability region in both cases, meanwhile influence of different mechnical and electrical driving force for the t^rst dynamical instability region is considered. Results of above analysis show that the increase of mechnical and electrical driving force can make the first dynamical instability region smaller. The affects of piezoelectric stacks＇ relative length to the first dynamical instability region of piezoelectric pivot element bar is simulated in Matlab. The simulation results illustrate that with the increase of piezoelectric pile length the structural vibration control effect is more obvious in the condition that the piezoelectric pile length is less than or equal to half of the total length. This determines a suitable piezoelectric stack relative length in practical engineering.