二阶主共振下旋转叶片振动抑制器稳定性研究

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摘要旋转叶片作为燃气轮机的核心部件，在高温高压的环境中工作，通常由于振动过量而失效。主动控制有着附加质量小、控制频带宽等优点，适合旋转叶片的工作环境和结构。因此，近年来针对旋转叶片主动控制的研究逐渐受到国内外学者的重视。本文研究内共振条件下具有时间延迟的旋转叶片的振动控制器稳定性。压电纤维复合材料是一种新型的压电智能材料，在航天、航空等领域有着广泛的应用。利用压电纤维复合材料传感器和作动器，研究旋转叶片1：2内共振时二阶主共振条件下的主动控制，建立了受控系统的运动微分方程，采用多尺度法推导出受控叶片的演化方程，推导出稳态时前两阶模态稳态响应的解析解。研究了参数变化对响应的影响规律和对系统的稳定性的影响。随后对原系统进行数值积分对解析解进行了验证。结果为旋转叶片动力学行为的研究提供了理论基础。

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	宋洋
	张博
	陈旭东
	丁虎
	陈立群

关键词 ：旋转叶片, 振动控制, 稳定性, 多尺度法

Abstract：Rotating blades, as the most important component of the gas turbine, work in the high-temperature and high-pressure environment. The blades usually damage due to excessive vibration. The active vibration control has the advantages of small quality and wide control frequency band, which is suitable for the working environment and structure of rotating blades. Therefore, in recent years, scholars at home and abroad have gradually paid attention to the active vibration control of rotating blades. The purpose of the present investigation is the vibration suppressor stability of rotating blades with time delay in the presence of internal resonance. Macro fiber composite is a new type of piezoelectric intelligent material, which has a wide range of applications in aerospace, aviation and other fields. We research the active vibration control of rotating blades in the presence of 2:1 internal resonance and second-order principal resonance conditions. The differential equations of motion are established for the controlled system. The autonomous evolution equation of the controlled system is obtained by the multiple scales method. The analytical solution of the first two modal steady-state responses is derived. The effects of the parameters on response and stability are studied. The original dynamical system is integrated numerically to verify the theoretical results. The results provide a theoretical basic for the dynamic behavior and the vibration control of the rotating blade.

Key words： rotating blade vibration control stability multiple scales method

收稿日期: 2022-09-22 出版日期: 2023-08-28

引用本文:

宋洋，张博，陈旭东，丁虎，陈立群. 二阶主共振下旋转叶片振动抑制器稳定性研究[J]. 振动与冲击, 2023, 42(16): 262-268.
SONG Yang,ZHANG Bo, CHEN Xudong, DING Hu, CHEN Liqun. Stability study of vibration suppressor of a rotating blade with the second-order primary resonance. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(16): 262-268.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I16/262

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