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Lagwise Resonance Crossing Analysis of a Variable Speed Rotor

机译:变速转子的滞后共振交叉分析

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An aeroelastic simulation of a stiff in-plane rotor in forward fight is conducted to investigate the dynamic characteristics of a variable speed rotor during resonance crossing. A finite element analysis based on a moderate defection beam model is employed to capture the coupled flap, lag and torsion deflections of rotor blade. The nonlinear quasi-steady blade element theory with table look-up of airfoil aerodynamics is utilized to calculate the blade aerodynamic loads. By using Hamilton's principle, system equations of motion are derived based on the generalized force formulation. An implicit Newmark integration scheme is used to calculate the steady and transient rotor responses. Transient aeroelastic responses of a four-blade stiff in-plane rotor are calculated to analyze the blade lagwise root bending moment and rotor torque. Rotor systems with identical and dissimilar blades are investigated. During 2/rev resonance, for identical rotors, the transient lagwise root bending moment is amplified significantly and can exceed more than 3.8 times the steady state level. The variation of rotor torque is substantially small. For dissimilar rotors, 5% reduction of one blade flap, lag or torsional stiffness at 0.6-0.7R has substantially small influence on the transient rotor torque. 5% reduction of one blade mass at 0.6-0.7R can cause a sharp rise of 2/rev rotor torque, and the transient peak-peak rotor torque increases to more than 10 times that of identical rotor. The transient rotor torque increases significantly when the mass dissimilarity occurs far from the blade root. Increasing blade damping can significantly reduce the transient loads during resonance crossing. During 4/rev resonance crossing, for identical or dissimilar rotors, the 4/rev lagwise root bending moment is transferred to the rotor shaft.
机译:进行前方斗争中僵硬的平面转子的空气弹性模拟,以研究共振交叉变速转子的动态特性。采用基于适度缺陷光束模型的有限元分析来捕获转子叶片的耦合翼片,滞后和扭转偏转。利用翼型空气动力学表查找的非线性准稳态叶片元件理论用于计算叶片空气动力学载荷。通过使用汉密尔顿的原理,基于广义力制定导出系统的系统方程。隐式纽马克集成方案用于计算稳态和瞬态转子响应。计算四叶片僵硬的平面转子的瞬态空气弹性响应,以分析叶片延伸的根弯矩和转子扭矩。研究了具有相同和异常叶片的转子系统。在2 / Rev共振期间,对于相同的转子,瞬态延长根弯曲力矩显着放大,并且可以超过稳态水平的3.8倍以上。转子扭矩的变化基本上很小。对于不同的转子,在0.6-0.7R的一个刀片翼片,延迟或扭转刚度下减少5%对瞬态转子扭矩的影响大致小。在0.6-0.7R的叶片质量下减少5%,可以引起2 / Rev转子扭矩的急剧上升,并且瞬态峰值峰值转子扭矩增加到相同转子的10倍以上。当远离叶片根部发生质量异化性时,瞬态转子扭矩显着增加。增加刀片阻尼可以在共振交叉期间显着减少瞬态负荷。在4 / Rev共振交叉期间,对于相同或不同的转子,4 / Rev延伸根弯矩被转移到转子轴。

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