Equilibrium characteristics and stability analysis of helicopter-slung-load coupling system
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摘要: 基于单质点吊挂假设,建立了直升机-吊挂耦合系统的非线性动力学模型。在该假设下,吊挂将引入额外的自由度和约束,使运动方程增加4阶,且为隐式的微分代数方程组。通过将惯性力中的广义加速度项与广义速度的二次项分离,可将运动方程转化为显式的微分方程组。针对无吊挂的直升机本体和直升机-吊挂耦合系统这两种模型,采用直接数值方法,计算了它们以不同速度做零侧滑定直平飞的配平状态,并结合飞行试验数据进行对比。进一步对两种模型进行了小扰动线化处理,分析其运动模态并进行对比。结果表明,单质点吊挂会给系统引入两个新的运动模态,使得吊挂两个自由度上的运动与直升机高度响应产生耦合,同时改变直升机本体各个模态的特性,会使部分模态响应品质变坏。Abstract: A nonlinear dynamical model of the helicopter-slung-load coupling system was presented, based on single mass-point hypothesis. Under this hypothesis, the consideration of the slung-load brought in extra degrees of freedom and constraints, which made the equations of motion increased by 4 orders, and being a set of implicit differential algebraic equations. By distinguishing the generalized acceleration terms from the quadratic generalized speed terms in the inertia forces, the equations of motion can be turned into a set of explicit ordinary differential equations. For the helicopter model and the helicopter-slung-load model, trim states for zero-side-slipping forward flight were first computed, using direct numerical approach, and the results were compared with flight test data. Then, both of the two models were linearized under small-perturbed conditions, and modal decomposition was performed on these linearized models. Results show that 2 new dynamical modes would be introduced by the single-mass-point slung-load. Motions of the slung-load's 2 degrees of freedom would be coupled with the helicopter's altitude response, and modify the characteristics of helicopter's inherence modes, make some of them worse.
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Key words:
- helicopter /
- slung-load /
- coupling /
- trim /
- stability /
- mode
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