| 双周期分布式压电分支阻尼对失谐叶盘振动抑制作用分析 |
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| 引用本文： | 李琳,刘久周,李超.双周期分布式压电分支阻尼对失谐叶盘振动抑制作用分析[J].航空动力学报,2017,32(3):666-676. |
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| 作者姓名： | 李琳 刘久周 李超 |
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| 作者单位： | 1.北京航空航天大学 能源与动力工程学院,北京 100191 |
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| 基金项目： | 国家自然科学基金（51675022） |
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| 摘 要： | 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.
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| 关 键 词： | 压电分支阻尼 失谐叶盘 响应放大 振动抑制 双周期 失谐鲁棒性 |
| 收稿时间： | 2015/7/9 0:00:00 |
Analysis on vibration suppression of mistuned bladed disk via bi-periodic distributed piezoelectric shunt damping |
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| Abstract: | A eletromechanical coupling system was established by introducing piezoelectric shunt circuit into mistuned bladed disk.The eletromechanical coupling system dynamic equations were derived,and the suppression effect on the amplitude magnification were analyzed.By constructing bi-periodic distributed piezoelectric shunt circuit,vibration suppres sion effect of bi-periodic distributed piezoelectric shunt damping was analyzed.The results indicate that,piezoelectric shunt damping (both in single periodic and in bi-periodic) can reduce the amplitude magnification of the mistuned bladed disk effectively,and 99.7％ of the statistical analysis results show that the amplitude magnification factor of bi-periodic eletromechanical coupling system is less than 1,which means the amplitude magnification of mis tuned bladed disk can be eliminated almost completely.Bi-periodic distributed piezoelectric shunt circuit outperforms the single one in some proper design.What'more,with the presence of the piezoelectric shunt damping,the threshold value of amplitude magnification factor nearly disappears,which means the mistuning robustness of the bladed disk has been improved obviously. |
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| Keywords: | piezoelectric shunt damping mistuned bladed disk amplitude magnification vibration suppression bi-periodic mistuning robustness |
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