Matrix Diagonalization Suppose a is diagonizable with independent eigenvectors use similarity transformations to diagonalize dynamics matrix

mu Xuu+ Xww-mg cos 000+ m(wi-qUo) Zuu+ Zww Ziw+ Zgq-mg sin+ Iyyq Muu+ Mww+ Mww+ Mq+ There is no roll/yaw motion, so=0. Control commands△x,△z,and△ MC have not yet been specified

Note can develop good approximation of key aircraft motion(Phugoid) using simple balance between kinetic and potential energies. Consider an aircraft in steady, level flight with speed U and height ho. The motion is perturbed slightly so that

For general applications in 3D, often need to perform 3 separate rotations to relate our inertial frame to our body frame Especially true for aircraft problems There are many ways to do this set of rotations -with the variations be based on the order of the rotations All would be acceptable

Static stability is all about the initial tendency of a body to return to its equilibrium state after being disturbed To have a statically stable equilibrium point, the vehicle must develop a restoring force/ moment to bring it back to the eq. condition Later on we will also deal with dynamic stability, which is concerned with the time history of the motion after the disturbance

Aircraft Performance Accelerated horizontal flight-balance of forces -Engine thrust TLift(toV)

Aircraft Lateral Dynamics Using a procedure similar to the longitudinal case, we can develop the equa tions of motion for the lateral dynamics

7.1概述 功用:保证发动机正常工作的所需的“神经”系统组成:主要有滑油、起动、燃油与调节系统,以及保证它们正常运行的传动系统。有的机种还有喷水、冷却系统等。(为防内容重复,本章主要介绍滑油、传动系统) 7.2滑油系统

美国麻省理工大学：《Aerospace Dynamics（航空动力学）》英文版 Lecture 15

5.1燃烧室 (本节应注意与燃烧课程的协调,避免重复) 5.1.1概述 (1)功用:将燃的化学能转换成气体的热能并加热到涡轮前允许的温度。 (2)燃烧环境: