Course: 2022/2023

Mechanics applied to Aerospace Engineering

(14165)

Requirements (Subjects that are assumed to be known)

Calculus I, Calculus II, Linear Algebra, Physics I.
We strongly advise you against taking this course if you have not passed Physics I yet.

The goal of this course is that the student acquires a basic knowledge of classical mechanics applied to flight mechanics and aerospace systems.

Skills and learning outcomes

Description of contents: programme

0 Introduction
- Newton's laws
- Scalar and vector quantities
- Review of vector calculus
- Degrees of freedom and constraints
1 Kinematics of point particles
- Reference frames
- Position, velocity and acceleration
- Planar motion
- Tangential and normal components
- Relative motion
- Rotations
- Relations between position, velocity and acceleration using translating and rotating axes
2 Dynamics of point particles
- Force and momentum
- Work and energy
- Rectilinear motion. Vibrations.
- Motion of a free particle
- Motion of a particle over a curve
- Motion of a particle over a surface
- Relative dynamics
- Angular momentum
- Central forces
- Kepler's problem
- Elliptical trajectories
3 Kinematics of a rigid body
- Velocity and acceleration fields
- Properties of the velocity field
- The Euler angles
4 Geometry of masses
- Center of mass
- Moments of inertia
- Moment of inertia tensor
- Steiner's theorem
- Principal axes
5 Rigid body dynamics
- Linear momentum
- Angular momentum
- Kinetic energy
- General equations for a system of particles
- General equations for the rigid body
- Equilibrium
- Work and energy principles
6 Systems of rigid bodies
- General equations
- Constraints and linkages
7. Torque-free motion of the rigid body
- Kinematics
- Dynamics and conservation laws
- Polhode and herpolode. Stability
8 The airplane as a point particle
- Airplane parts
- Forces on the airplane: Lift, drag, aerodynamic moments
- Straight and level flight
- Gliding flight
- Climbing flight

Learning activities and methodology

Theory sessions in master classes (flipped classroom methodology will be followed)
Problem sessions in reduced groups
Lab-sessions and computer sessions with mathematical software
Personal and group work

Assessment System

- % end-of-term-examination 60
- % of continuous assessment (assigments, laboratory, practicals...) 40

Basic Bibliography

- J. H. Ginsberg. Engineering Dynamics. Cambridge Univ. Press. 2007

- Mario Merino · ANAKIN code : https://github.com/uc3m-aerospace/anakin

Additional Bibliography

- A.C. Kermode. Mechanics of Flight. Pearson. 2012

(*) Access to some electronic resources may be restricted to members of the university community and require validation through Campus Global. If you try to connect from outside of the University you will need to set up a VPN

The course syllabus may change due academic events or other reasons.