The teaching is based on 'learning by doing'. There
will be introductory and summing up lectures. Project work in small
groups includes tutorial exercises, assignments, computer
simulations and case studies.
The principal goal of this course is to increase the student’s
understanding to the point that real-world dynamic problems can be
analyzed and solved, using advanced techniques. By the end of the
course, the student will be able to analyze and understand the
dynamics of complex mechanical systems such as satellites, robotic
manipulators, vehicles, and mechanisms.
A student who has met the objectives of the course will be able to:
• Find the differential equations of motion for a reasonably
complex mechanical system.
• Analyze the mathematical model of a dynamical system.
• Determine various dynamical quantities by calculations.
• Apply the methods of analytical dynamics to practical engineering
problems.
• Read engineering and mathematical literature on advanced dynamics
and “geometric mechanics”.
Læringsmål:
En studerende, der fuldt ud har opfyldt kursets mål, vil kunne:
Derive the differential equations of motion of a reasonably
complex mechanical system.
Analyze the mathematical model of a dynamical system.
Calculate various kinematical and dynamical quantities of s
mechanical system.
Apply the methods of analytical dynamics to engineering systems
such as vehicles, robots and satellites.
Read engineering and mathematical literature on advanced
dynamics.
Apply the topics of the lectures to practical problems through
project work in groups.
Learn new topics in engineering mathematics through guided
assignments.
Use computer software for the solution and the graphical
illustration of dynamical problems.
Document technical calculations in a written form, both
compactly and concisely.
Work within a group and cooperate on the project work and on
working out the report.
Kursusindhold:
The course gives a detailed description of the analytical tools of
dynamics as used in mechanical and aerospace engineering. The
following topics will be covered:
Review of Newtonian dynamics. Kepler’s laws. Orbital motion.
Relative motion. Rotating reference frames. Three-dimensional
kinematics and kinetics of rigid bodies. Euler angles. Inertial
effects for a rigid body. Newton-Euler equations. Constraints and
generalized coordinates. Principle of virtual work. Classification
of constraints. D’Alembert principle. Lagrange’s equations.
Hamilton’s principle of least action. Gyroscopic motion.
Conservative and non-conservative systems.
The theoretical results of the course will be illustrated by
practical examples.
Litteraturhenvisninger:
- Lecture notes on CampusNet.
Bemærkninger:
This is a relevant optional course offered by the Department of
Mechanical Engineering. It is, however, also relevant to students
who intend to do research in aerospace engineering.
