2018/4/27 Basic Equations of Motion (cont.) 园上活道大学 Typical Flight Profile of a Civil Jet 国上清大学 Equations of motion in flight path coordinate system =Poos(o +p)cos 3-Q-Gsin 8. -P严c0s(a+Cp)sin 3sin,+sin(a+》cos +Y coe%-Xsl?-Gcos8. 4 一mcos坐 P-cas(a+)sin 3cos.+sin(a+p)sin +Y'sin: Body axis F Horizontal axis 任务时间，任亮感酒 W am Song 国上清文大些 Takeoff Sequence 圆上洋廷大整 Vs:stall speed (in take-off configuration) V1:critical power failure speed VR:rotation speed,this can equal V1 Vmu:minimum unstick speed,VR may not be sufficient to lift off due to limit on rotation angle VLOF:lift-off speed,the aircraft becomes airborne V2:take-off climb speed,achieved at 35ft screen height TAKE-OFF PERFORMANCE Wertin org o Wenbin ong Take-off Options with Engine Failure 图上清文通大学 Take-off distance-with one engine failed 园上洋文大学 Balanced field length dimbingthore angine faled enaccelerate-go distance Rejected tke-off (accelerate-sop) fv-o Fig.10.Taieoff ctons withengne fare. sy-Dr.Wenbin Song 32018/4/27 3 © Shanghai Jiao Tong University – Dr. Wenbin Song School of Aeronautics and Astronautics Basic Equations of Motion (cont.) • Equations of motion in flight path coordinate system L D W V Horizontal axis γ α φp P Body axis © Shanghai Jiao Tong University – Dr. Wenbin Song School of Aeronautics and Astronautics Typical Flight Profile of a Civil Jet 14 250 kts CAS 发动与 滑行 起飞、 加速与 爬升 爬升 巡航 下降 进场与 降落 滑 行 进场与 降落 转飞 航程 任务时间，任务燃油 轮档时间, 轮档燃油 后备燃油 起飞重量 降落重量 零燃油重 量 10000 ft 1500 ft 海平面 20000 ft 250 kts CAS 250 kts CAS VCLIMB, MCLIMB MCRUISE MCRUISE MDESCENT, VDESCENT M = 0.6 250 kts CAS © Shanghai Jiao Tong University – Dr. Wenbin Song School of Aeronautics and Astronautics TAKE-OFF PERFORMANCE 15 © Shanghai Jiao Tong University – Dr. Wenbin Song School of Aeronautics and Astronautics Takeoff Sequence • Vs: stall speed (in take-off configuration) • V1: critical power failure speed • VR: rotation speed, this can equal V1 • Vmu: minimum unstick speed, VR may not be sufficient to lift off due to limit on rotation angle • VLOF: lift-off speed, the aircraft becomes airborne, • V2: take-off climb speed, achieved at 35ft screen height 16 © Shanghai Jiao Tong University – Dr. Wenbin Song School of Aeronautics and Astronautics Take-off Options with Engine Failure 17 © Shanghai Jiao Tong University – Dr. Wenbin Song School of Aeronautics and Astronautics Take-off distance – with one engine failed • Balanced field length – Definition: the field length when “accelerate-go” distance is equal to the “accelerate-stop” distance 18