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Damping augmentation of a rotating beam-tendon system via internally placed spring-damper elements
Journal of Sound and Vibration ( IF 4.7 ) Pub Date : 2021-06-26 , DOI: 10.1016/j.jsv.2021.116315
Jun Wu , Branislav Titurus

A guided tendon concept in the context of rotating helicopter blades is put forward to modify the dynamics in order to enable the rotorcraft to work in a wider range of working conditions; however, some blade modes are insensitive to the axial force. In this paper, the damping augmentation of a rotating Timoshenko beam axially loaded by a tendon via placing spring-damper elements is studied in the flapping direction, where the spring-damper elements that replace the rigid attachments are placed at some spanwise locations to guide the tendon through the beam. The equations of motion are derived by means of Lagrange's equation with the energy expressions. In vacuo modal analysis is carried out and the model is validated against the experiment for a non-rotating case with a rigid attachment. A damping model is then proposed and validated against the experiment to characterise the damping properties of the beam-dominated modes. It is found that with the use of spring-damper elements, the damping ratios and damped frequencies of the beam-dominated modes can be increased significantly. With the use of one spring-damper element, the location achieving maximum damping ratio is different for different beam-dominated modes. Adding the number of spring-damper elements only leads to a small increase of the maximum damping ratios for the studied beam-dominated modes. Compared with rigid attachments, the spring-damper elements can realise the same function of increasing the frequencies of the tendon-dominated modes, but decrease the critical force below which the axial force can be applied. By applying spring-damper elements to the active tendon concept, the damping ratios of the blade modes that are insensitive to the axial force can be increased significantly to mitigate the resonant vibration.



中文翻译:

通过内部放置的弹簧阻尼元件增强旋转梁-腱系统的阻尼

在旋转直升机叶片的背景下,提出了一种引导腱概念来修改动力学,以使旋翼机能够在更广泛的工作条件下工作;然而,一些叶片模式对轴向力不敏感。在本文中,通过在拍动方向上放置弹簧阻尼元件来研究由腱轴向加载的旋转铁木辛哥梁的阻尼增加,其中代替刚性附件的弹簧阻尼元件放置在一些展向位置以引导肌腱穿过梁。运动方程是通过带有能量表达式的拉格朗日方程推导出来的。在真空中进行模态分析,并针对具有刚性附件的非旋转外壳的实验验证模型。然后提出阻尼模型并根据实验进行验证,以表征梁主导模式的阻尼特性。发现通过使用弹簧阻尼元件,可以显着增加梁主导模式的阻尼比和阻尼频率。通过使用一个弹簧阻尼元件,对于不同的梁主导模式,实现最大阻尼比的位置是不同的。添加弹簧阻尼元件的数量只会导致所研究的梁主导模式的最大阻尼比略有增加。与刚性附件相比,弹簧阻尼元件可以实现相同的功能,即增加肌腱主导模式的频率,但会降低可以施加轴向力的临界力。

更新日期:2021-07-04
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