AI 中文总结
本研究构建三分量Z形折叠机翼，结合几何精确动力学等方法分析其气动弹性，发现1:2双霍普夫点，揭示颤振模态与局部共振动力学关联，支持设计推理。
AI 中文摘要
折叠会改变线性化气动弹性谱，并切换首先失稳的模态，这对颤振后局部相互作用有影响。本研究通过将每个气动站位分配给一个结构分量和一个材料坐标，构建了一个三分量Z形折叠机翼。相同的附着映射生成表面运动，并通过虚功返回压力载荷。几何精确分量动力学、显式尾流非定常涡格模型以及块结构化描述符组装保留了构型作用的物理路径。双参数颤振分析显示，平滑的颤振速度包络隐藏了控制中性分支的高低高序列，表现为临界频率谷值和分量变形的重新分布。数值延拓定位了一个接近1:2的双霍普夫点。在保留二次和三次结构恢复力、且气动与惯性算子固定在调度点的局部模型中，三次规范型捕捉了选定的26状态观测结果，并允许高频主导和混合相位锁定周期解。该公式将构型相关的颤振模态身份与局部共振动力学关联，支持分块灵敏度分析和设计推理。
英文摘要
Folding changes the linearized aeroelastic spectrum and can switch which mode becomes unstable first, with consequences for local postflutter interactions. This study formulates a three-component Z-fold wing by assigning every aerodynamic station to a structural component and a material coordinate. The same attachment map generates surface motion and returns pressure loads through virtual work. Geometrically exact component dynamics, an explicit-wake unsteady vortex-lattice model, and block-structured descriptor assembly preserve the physical paths of configuration actions. A two-parameter flutter analysis shows that a smooth flutter-speed envelope conceals a high-low-high sequence of controlling neutral branches, expressed as a critical-frequency valley and a redistribution of component deformation. Numerical continuation locates a near-1:2 double-Hopf point. Within a local model retaining quadratic and cubic structural restoring forces with aerodynamic and inertial operators fixed at the scheduling point, the cubic normal form captures selected 26-state observations and admits high-frequency-dominant and mixed phase-locked periodic solutions. The formulation links configuration-dependent flutter-mode identity to local resonant dynamics and supports blockwise sensitivity and design reasoning.
Comments47 pages, 24 figures
