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将压电分支电路引入失谐叶盘结构,形成机电耦合系统,给出了机电耦合系统动力学方程的推导过程,并从理论上研究了压电分支阻尼对失谐叶盘结构响应放大的抑制效果.通过构造双周期分布式压电分支电路,研究了双周期分布式压电分支阻尼对失谐叶盘结构的振动抑制效果,并与单周期压电分支电路进行了对比,对比结果显示压电分支阻尼(包括单周期压电分支阻尼以及双周期分布式压电分支阻尼)均能有效降低随机失谐叶盘结构的响应放大,其中双周期机电耦合系统响应放大因子统计分析结果小于1的概率在99.7%以上,基本消除了失谐叶盘结构的响应放大现象.通过合理地设计系统的双周期模式,能够获得比单周期更好的失谐响应放大抑制效果.此外,压电分支阻尼使得随机失谐叶盘结构的失谐“阈值”现象消失,提高了叶盘结构的失谐鲁棒性.
The piezo-electric branch circuit is introduced into the detuning disc structure to form the electromechanical coupling system. The derivation process of the electromechanical coupling system kinetic equation is given. The suppression of piezoelectric amplification damping on the response of the detuning disc structure is theoretically studied The effect of double-period distributed piezoelectric branch damping on the vibration control of the detuned leaf disc structure was studied by constructing a two-period distributed piezoelectric branch circuit and compared with the single-cycle piezoelectric branch circuit. The comparison results showed that the pressure The electrical branch damping (including the single-cycle piezoelectric branch damping and the double-cycle distributed piezoelectric branch damping) can effectively reduce the response magnification of the random detuning leaf disc structure. The statistical analysis results of the double-period electromechanical coupling response amplifying factor are less than 1 The probability is more than 99.7%, which can basically eliminate the response amplifying phenomenon of the detuning leaf disc structure. By reasonably designing the double cycle mode of the system, the better inhibitory effect of detuning response than the single cycle can be obtained. In addition, The detuning of the stunted leaf disc structure disappears and the phenomenon of “threshold value” disappears, which improves the robustness of the leaf disc structure.