Aeroelastic stability of tapered/skew variable stiffness composite cantilevered plates are considered in the current study at flutter and post-flutter regions. The variable stiffness behavior is obtained by altering the fiber angles continuously according to a selected curvilinear fiber path function in the composite laminates. Flutter speed, limit cycle oscillations (LCOs), and bifurcation diagrams of tapered/skewed plates are obtained at two different fiber path functions. Nonlinear structural model is utilized based on the virtual work principle. Fully nonlinear Green’s kinematic strain relations are used to account for the geometric nonlinearities and the first order shear deformation theory (FSDT) is employed to generalize the formulation for the case of moderately thick plates including transverse shear effects. One prominent target of the present study is to determine how the variable stiffness parameters affect the nonlinear behavior. Consequently, one may find the best fiber path with improved flutter and post-flutter characteristics for tapered/skew plates in supersonic flow. First order linear piston theory is used to model the aerodynamic loading. In order to get a reliable solution, the Generalized Differential Quadrature (GDQ) method is employed. Moreover, time integration of the equations of motion is carried out using the Newmark’s average acceleration technique. It will be shown that taperness/skewness as well as variable stiffness lamination parameters have significant effects on the aeroelastic stability margins. In addition, the post-critical behavior is found to be periodic or quasi-periodic at all the presented simulations with no specific route to chaos.

在当前研究中，在颤振和颤振后区域考虑了锥形/斜变刚度复合悬臂板的气动弹性稳定性。通过根据复合材料层压板中选定的曲线纤维路径函数连续更改纤维角度来获得可变的刚度行为。在两种不同的光纤路径函数下获得了颤动速度，极限循环振荡（LCO）和锥形/斜板的分叉图。基于虚拟工作原理，利用非线性结构模型。完全非线性Green的运动应变关系用于说明几何非线性，并且一阶剪切变形理论（FSDT）用于概括包括横向剪切效应的中厚板情况下的公式。本研究的一个突出目标是确定可变刚度参数如何影响非线性行为。因此，对于超音速流中的锥形/斜盘，人们可能会找到具有改善的颤振和颤振后特性的最佳光纤路径。一阶线性活塞理论用于模拟空气动力载荷。为了获得可靠的解决方案，采用了通用差分正交（GDQ）方法。此外，使用纽马克的平均加速度技术对运动方程进行时间积分。将显示出锥度/偏度以及可变的刚度层压参数对气动弹性稳定性裕度有显着影响。此外，