STE-3800 Classical Mechanics - 5 stp

This course will provide the students with the knowledge, skills and tools necessary to model dynamical systems in different ways, and know when to use those different methods. Throughout the course students will acquire skills on

Kinematics: Direction cosine matrices, Euler angles, Euler's theorem, quaternions, homogeneous transformations, Screw-theory.

Dynamics: Newton-Euler Equations, Non-inertial coordinate systems, Euler-Lagrange

Equations, Hamilton Equations, D'Alembert and Hamilton principles, Generalized coordinates, Conservation Laws, Holonomic and Non-holonomic constraints, perturbation theory.

Orbital mechanics: two-body problems, transfer orbits.

A relevant undergraduate bachelor in engineering, primarily within electronics or space technology.

In addition, the following requirements must be met:

- minimum 25 credits in mathematics (equivalent to Mathematical Methods 1, 2 og 3), 5 credits in statistics and 7,5 ects i physics on a higher level is required.

Application code: 9371

After subject has been passed the students should have acquired the following learning results:

Knowledge and understanding:

The candidate:

• has knowledge on how to model rigid bodies by accounting for forces and moments acting on them.
• has knowledge on the most important parameterization of rotations.
• has knowledge on the principles for use of Newton-Euler equations of motion.

Skills:

The candidate:

• is able to apply their knowledge of classical mechanics to solve concrete problems.
• is able to differentiate vectors in inertial and non-inertial coordinate reference frames.
• is able to derive models for rigid-bodies through the use of Newton's laws of motion and Lagrangian formulations.

General competences:

The candidate should be able to solve theoretical problems related to the kinematics and dynamics of rigid-bodies and should be able to solve simple fluid mechanics problems.

This course will provide the students with the knowledge, skills and tools necessary to model dynamical systems in different ways, and know when to use those different methods. Throughout the course students will acquire skills on

Kinematics: Direction cosine matrices, Euler angles, Euler's theorem, quaternions, homogeneous transformations, Screw-theory.

Dynamics: Newton-Euler Equations, Non-inertial coordinate systems, Euler-Lagrange

Equations, Hamilton Equations, D'Alembert and Hamilton principles, Generalized coordinates, Conservation Laws, Holonomic and Non-holonomic constraints, perturbation theory.

Fluid dynamics: density, pressure, viscosity, compressibility, fluid flow, bernoulli's equation.