Overordnede kursusmål:

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.

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:

- Mechanics for Engineers Dynamics, SI edition, 13th edition, by R. C. Hibbeler, Pearson 2013.
- Lecture notes on CampusNet.

Bemærkninger:

This is a relevant optional course in the study program “Engineering Design & Industrial Innovation” offered by the Department of Mechanical Engineering. It is, however, also relevant to students who intend to do research in mechanical and aerospace engineering.

Kursusansvarlig:

Imad Abou-Hayt , Tlf. (+45) 3646 3441 , iabo@dtu.dk