Study on installation location of dry friction damper for helicopter supercritical tail drive shaft
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摘要:
为了使限幅减振器对传动轴跨1阶及2阶临界转速均起到较好的减振作用,研究了限幅减振器安装位置对传动轴与限幅减振器系统非线性动力学的影响。首先基于Timoshenko梁和非线性碰摩理论建立了传动轴与限幅减振器系统的非线性有限元动力学模型,通过数值计算得到了系统响应。对传动轴典型跨临界过程及安装位置对减振效果的影响进行了分析。结果表明:一个典型的传动轴跨临界过程可以分为4个阶段,分别为无碰摩、拟周期碰摩、同频全周碰摩,最后回到无碰摩阶段。将减振器安装在中间节点只能有效抑制传动轴跨1阶临界转速的振动,而安装在1/4节点及3/8节点处能同时减弱跨1阶及2阶临界转速的振动,但安装在3/8节点处有可能使传动轴无法正常工作。
Abstract:The influence of location of the dry friction damper on dynamics of the shaft/dry friction damper system was studied to ensure that the vibration of the shaft can be suppressed effectively as crossing the first and second critical speeds. Firstly, the nonlinear finite element dynamic model of the shaft/damper system was established based on the theories of Timoshenko beam and nonlinear rub-impact. The responses of the system were obtained by numerical calculation. The typical response of the shaft as crossing critical speeds and the influence of damper location were further analyzed. The results showed that there existed four stages when the shaft passed through critical speeds, including periodic no-rub motion, quasi periodic rub-impact motion, synchronous full annular rub-impact motion, and finally back to periodic no-rub motion. With the damper located at the middle node, the vibration of the shaft can be effectively suppressed when crossing the first critical speed. With the damper located at the one-quarter node and three-eighth node, the vibration of the shaft when crossing the first and second critical speeds can be both effectively suppressed. However, the shaft may not work normally when the damper was located at the three-eighth node.
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Key words:
- dry friction damper /
- supercritical tail drive shaft /
- location optimization /
- rub-impact /
- dry friction
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表 1 空心传动轴参数
Table 1. Parameters of the hollow shaft
参数 数值 长度L/mm 2600 内径d/mm 111 外径D/mm 114.2 密度ρ/(kg/m3) 2800 弹性模量E/GPa 71 偏心量e/mm 0.3 表 2 限幅减振器相关无量纲参数设定
Table 2. Dimensionless parameters of the dry friction damper
参数 数值 无量纲碰摩环质量Mr 0.05 传动轴与碰摩环无量纲法向碰摩刚度K1 15 传动轴与碰摩环切向碰摩摩擦因数$ {\mu _1} $ 0.1 传动轴与碰摩环无量纲初始间隙Δ1 3 无量纲临界干摩擦力Fp 6 -
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