Course syllabus adopted 2024-02-22 by Head of Programme (or corresponding).
Overview
- Swedish nameStelkroppsdynamik
- CodeMMA093
- Credits7.5 Credits
- OwnerMPAME
- Education cycleSecond-cycle
- Main field of studyAutomation and Mechatronics Engineering, Mechanical Engineering, Engineering Physics
- DepartmentMECHANICS AND MARITIME SCIENCES
- GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Course round 1
- Teaching language English
- Application code 03140
- Block schedule
- Open for exchange studentsYes
Credit distribution
Module | Sp1 | Sp2 | Sp3 | Sp4 | Summer | Not Sp | Examination dates |
|---|---|---|---|---|---|---|---|
| 0124 Oral examination 7.5 c Grading: TH | 0 c | 7.5 c | 0 c | 0 c | 0 c | 0 c |
In programmes
- MPAME - APPLIED MECHANICS, MSC PROGR, Year 1 (compulsory elective)
- MPAME - APPLIED MECHANICS, MSC PROGR, Year 2 (elective)
- MPMOB - MOBILITY ENGINEERING, MSC PROGR, Year 1 (elective)
- MPMOB - MOBILITY ENGINEERING, MSC PROGR, Year 2 (elective)
- MPPDE - PRODUCT DEVELOPMENT, MSC PROGR, Year 2 (elective)
- MPSYS - SYSTEMS, CONTROL AND MECHATRONICS, MSC PROGR, Year 1 (elective)
- MPSYS - SYSTEMS, CONTROL AND MECHATRONICS, MSC PROGR, Year 2 (elective)
Examiner
Petri Piiroinen- Studierektor, Mechanics and Maritime Sciences
Eligibility
General entry requirements for Master's level (second cycle)Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Specific entry requirements
English 6 (or by other approved means with the equivalent proficiency level)Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Course specific prerequisites
Mathematics, in particular linear algebra, integrals and differential equations, and mechanics, in particular dynamics of particles and planar motion of rigid bodies.Aim
Many mechanical systems, such as cars and robots, exhibit a much more complicated, three-dimensional motion than those treated in basic courses in mechanics. Many degrees-of-freedom, complicated constraints, three-dimensional rotations, coupled oscillations, and stability problems are among the complications that may occur. This course gives the tools needed to analyse such problems. Apart from analytical methods, also software for simulating complicated dynamical systems is introduced. The course includes a large, more real world project, which uses both analytical methods and software.Learning outcomes (after completion of the course the student should be able to)
After completion of the course the student should be able to:
- Use advanced kinematics, such as generalized coordinates, rotation matrices, relative motion, Euler angles, and various constraints (joints, rolling, etc).
- Apply Newton and Lagrange's equations of motion on mechanical systems composed of particles and rigid bodies.
- Calculate eigenfrequencies and modal vectors for mechanical systems characterized by linearized equations of motion.
- Work with a commercial software for mechanical systems in basic cases.
- Apply the learned skills to a complex mechanical problem, such as a car suspension or a robot, and show this ability by working with such a problem both analytically and with software.
Content
Particles and systems of particles: kinematics, Newton's laws, conservation laws, oscillations, stability. Relative motion: rotation matrices, angular velocity and acceleration, motion in moving reference systems. Rigid body kinematics: Euler angles and rotation parameterizations, constraints, rolling. Newton and Lagrange's equations for rigid bodies and systems: planar and three-dimensional motion, gyroscopic motion. Coupled oscillations: linearization, eigenfrequencies, stability, modal analysis. Introduction to simulation software.
Organisation
Lectures, problem-solving sessions and supervision. A number of assignments to hand in throughout the course that include analytical work, numerical computations, and simulations using a commercial software.
Literature
To be announced.
Examination including compulsory elements
Compulsory assignments and oral examination. Grading: TH - Fail, 3, 4 ,5.
The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.