As a typical morphing wing, a folding wing with structural nonlinearities may encounter complex nonlinear aeroelastic effects during the in-flight morphing process. This paper presents a novel parameterized modeling methodology for efficient modal and nonlinear aeroelastic analysis of a folding wing with bilinear hinge stiffness and the variation of the folding angle. The most attractive feature of the present modeling methodology is that the nonlinear structural dynamics of the folding wing at different folding angles can be efficiently represented via a parameterized fictitious mode. To demonstrate the accuracy of the present method in representing the nonlinear dynamics of the morphing wing, a folding wing with bilinear stiffness in both fuselage–inboard and inboard–outboard hinges was selected as a numerical example. The nonlinear dynamic model of the selected example can be divided into nine subsystems according to different combinations of fuselage–inboard and inboard–outboard hinge stiffness. This paper focuses on the efficient investigation of structural modes, flutter stability, and nonlinear aeroelastic behaviors of the folding wing at the complete morphing parameter space. Besides, the numerical results computed via the present parameterized fictitious mode method were also compared with the direct commercial software. The comparison shows that the nonlinear dynamics of the morphing wing with bilinear hinge stiffness can be investigated efficiently via the present parameterized modeling method.

作为典型的变形机翼，具有结构非线性的折叠机翼在飞行中的变形过程中可能会遇到复杂的非线性气动弹性效应。本文提出了一种新颖的参数化建模方法，可以对具有双线性铰链刚度和折叠角变化的折叠机翼进行有效的模态和非线性气动弹性分析。本建模方法的最吸引人的特征是，可以通过参数化的虚拟模式有效地表示折叠翼在不同折叠角度的非线性结构动力学。为了证明本方法在表示变形机翼的非线性动力学方面的准确性，选择了在机身-内侧和内侧-外侧铰链中具有双线性刚度的折叠机翼作为数值示例。根据机身-内侧和内侧-外侧铰链刚度的不同组合，所选示例的非线性动力学模型可以分为九个子系统。本文重点研究在完整变形参数空间下折翼的结构模式，颤振稳定性和非线性气动弹性行为。此外，还将通过本参数化虚拟模式方法计算出的数值结果与直接商业软件进行了比较。比较表明，通过本参数化建模方法可以有效地研究具有双线性铰链刚度的变形机翼的非线性动力学。本文重点研究在完整变形参数空间下折翼的结构模式，颤振稳定性和非线性气动弹性行为。此外，还将通过本参数化虚拟模式方法计算出的数值结果与直接商业软件进行了比较。比较表明，通过本参数化建模方法可以有效地研究具有双线性铰链刚度的变形机翼的非线性动力学。本文重点研究在完整变形参数空间下折翼的结构模式，颤振稳定性和非线性气动弹性行为。此外，还将通过本参数化虚拟模式方法计算出的数值结果与直接商业软件进行了比较。比较表明，通过本参数化建模方法可以有效地研究具有双线性铰链刚度的变形机翼的非线性动力学。