中文摘要：

效果翻译，图 -- 八并且蜻蜓气体动力学上的 double-figure-eight flapping 轨道被解决 Navier-Stokesequations 数字地学习。关于向下的一击 flapping 提供的提起 / 拖力量系数有一个普通特征当向上的一击 flapping 为不同 flapping 轨道创造戳力量时，电梯强迫。最大的电梯力量系数为 iranslational 轨道超过五。它为数字比六大 -- 八 anddouble-figure-eight flapping trajecto ries，它比在稳定的州的飞行条件下面的统一足够地大。椭圆和 dou- ble-figure-eight flapping 轨道产出电梯力量的 thede 缝隙，当时数字 -- 八 flapping 轨道收益更高比翻译 flapping 那象戳力量一样提起力量。在昆虫飞行期间，翅膀 flapping 地位应该即刻地被改变满足各种各样的要求优点。昆虫气体动力学上的 flapping 轨道的学习对 Mi- cro-air-vehicles (MAV ) 的设计有用。

英文摘要：

The effects of translational, figure-eight and double-figure-eight flapping trajectories on the dragonfly aerodynamics were numerically studied by solving the Navier-Stokes equations. There is a common characteristic regarding the lift/drag force coefficients that the downstroke flapping provides the lift forces while the upstroke flapping creates the thrust forces for different flapping trajectories. The maximum lift force coefficient exceeds five for the translational trajectory. It is greater than six for the figure-eight and double-figure-eight flapping trajectories, which is sufficiently larger than unity under the steady state flight condition. The ellipse and double-figure-eight flapping trajectories yield the decrease of the lift force, while the figure-eight flapping trajectory yields higher lift force as well as the thrust force than the translational flapping one. During the insect flight, the wing flapping status should be changed instantaneously to satisfy various requirements. Study of the flapping trajectories on the insect aerodynamics is helpful for the design of the Micro-air-vehicles （MAVs）.