果蝇悬飞翅拍动力学问题的建模和数值求解

Modeling and Numerical Simulation for the Problem of Hovering Wing Beat Dynamics of Fruit Fly

针对悬飞果蝇翅拍动力学问题,基于稳态气动力模型给出了改进的准稳态气动力矩模型,建立了两自由度的非线性翅拍动力学方程,通过假设翅拍运动和翅膀扭转运动可以解耦计算.基于改进的准稳态气动力模型,采用常规常微分方程数值求解算法和边界值数值求解算法分别对已知翅运动的其中一个自由度的翅膀拍打力学方程和翅膀扭转动力学方程进行了求解.数值结果表明,理论预测获得的翅膀运动学模式和实验测试获得的稳态翅拍运动模式有较好一致性.

The production of unsteady aerodynamic force acting on the wing planform for fruit fly,which indirectly influences the dynamic unsteadiness and controllability of high maneuverability,is directly determined by its wing beat kinematic pattern during flapping-wing hovering flight.The study about the problem of wing beat dynamic during flapping-wing hovering flight of fruit fly was performed.Firstly,the modified quasi-steady aerodynamic estimating model was proposed in terms of the steady aerodynamic force model reported by other researchers by some assumption of simplification.Next,the two DOFs nonlinear dynamic equation of wing beat was developed during flapping-wing hovering flight of fruit fly.Then,in order to realize the numerical solution of two DOFs nonlinear dynamic equation,it was assumed that the stroke motion and pitch motion for steady wing beat could be decoupled.Finally,based on the modified quasi-steady aerodynamic estimating model,the numerical simulations for the dynamic equation of stroke motion and pitch motion of wing were separately executed under the condition of their another presoribed known DOF of wing motion by using common numerical simulation algorithm and numerical solution of boundary-value problem for ODEs,respectively.The results show that the theoretical estimated wing motion pattern is well consistent with those of experimental result.