预设角度的弯曲扭转耦合涡轮叶片的参数振动和组合共振

Yuankai Ren, Jianwei Lu, Gaoming Deng, DingHua Zhou
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引用次数: 0

摘要

研究了具有预设角度的涡轮叶片在参数激励和强迫激励共同作用下的参数振动和组合共振。考虑到离心力、陀螺力和弯曲扭转耦合的影响,叶片被模拟为旋转梁。利用 Floquet 理论分析了参数激励下相应线性系统的不稳定区域,并讨论了叶片参数对该区域的影响。值得注意的是,研究发现了由弯曲自由度参数激励引起的扭转自由度参数振动。结果表明,参数共振区的大小和位置分别受到叶片长宽比和预设角的影响。此外,采用多尺度方法求解了参数激励和强制激励共同作用下的叶片方程,研究了强制激励和陀螺项引起的联合共振。研究了叶片参数和激振特性对组合共振区域的影响。由于激振频率的变化,观察到了异次谐波分叉现象,而且伴随分叉的谐波成分也发生了变化。具体来说,由激励频率和次谐波成分主导的多周期响应转变为由次谐波成分主导的单周期响应。这项研究为叶片振动中的非同步共振和次谐波信号提供了理论解释,并为叶片参数设计(尤其是风力涡轮机)提供了指导。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Parametric Vibration and Combined Resonance of A Bending-Torsional Coupled Turbine Blade With A Pre-Set Angle
The parametric vibration and combined resonance of a turbine blade with a pre-set angle subjected to the combined effect of parametric and forced excitation were investigated. The blade was modeled as a rotating beam considering the effects of centrifugal, gyroscopic, and bending-torsion coupling. The instability region of the corresponding linear system with parametric excitation was analyzed using Floquet theory, and the effect of blade parameters on this region was discussed. Notably, the parametric vibration of the torsional degree of freedom caused by parametric excitation of the bending degree of freedom has been found. The results show that the size and position of the parameter resonance region are affected by the blade aspect ratio and preset angle, respectively. Furthermore, the multi-scale method was employed to solve the blade equation under the combined action of parametric and forced excitation to study the combined resonance caused by forced excitation and gyroscopic item. The effect of blade parameters and excitation characteristics on regions of combined resonance were investigated. The phenomenon of heteroclinic bifurcation was observed due to changes in the excitation frequency, and the harmonic components that accompanied the bifurcation changed. Specifically, a multi-period response dominated by the excitation frequency and subharmonic components shifted to a single-period response dominated by subharmonic components. This study provides a theoretical explanation for the non-synchronous resonance of blades and the subharmonic signals in blade vibration and guides blade parameter design, especially for wind turbines.
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