SG2150 Rigid Body Dynamic 7.0 credits
Stelkroppsdynamik
Analytical and rigid body dynamics.
Education cycle
Second cycleMain field of study
Grading scale
A, B, C, D, E, FX, F
Course offerings
Autumn 19 for programme students
-
Periods
Autumn 19 P1 (7.0 credits)
-
Application code
50608
Start date
26/08/2019
End date
25/10/2019
Language of instruction
English
Campus
KTH Campus
Tutoring time
Daytime
Form of study
Normal
-
Number of places
No limitation
Course responsible
Arne Nordmark <nordmark@kth.se>
Teacher
Arne Nordmark <nordmark@kth.se>
Part of programme
- Master of Science in Engineering and in Education, year 4, MAFY, Conditionally Elective
- Master of Science in Engineering and in Education, year 5, MAFY, Conditionally Elective
- Master's Programme, Engineering Mechanics, 120 credits, year 2, Conditionally Elective
- Master's Programme, Engineering Mechanics, 120 credits, year 2, TEMB, Recommended
Autumn 18 for programme students
-
Periods
Autumn 18 P1 (7.0 credits)
-
Application code
50587
Start date
27/08/2018
End date
26/10/2018
Language of instruction
English
Campus
KTH Campus
Tutoring time
Daytime
Form of study
Normal
-
Number of places
No limitation
Schedule
Planned timeslots
P1: H1, I1, H2, I2. more info
Course responsible
Arne Nordmark <nordmark@kth.se>
Teacher
Arne Nordmark <nordmark@kth.se>
Part of programme
Intended learning outcomes
After the course the students should be able to:
Find and combine moments of inertia and construct inertia tensors.
Use the Newton-Euler vector formalism to solve rigid body problems.
Calculate the generalized forces for holonomic few-body systems.
Calculate Lagrangian functions for holonomic few-body systems, by hand and by using computer algebra.
Derive Lagrangian equations of motion for holonomic few-body systems, by means of computer algebra when necessary.
Solve these equations, numerically as well as analytically, for a number of standard problem types, including impact problems and coupled oscillation problems.
Course main content
Rigid body kinematics. General dynamic equations for a system of particles. General 3D motion of a rigid body. Analytical mechanics with application to systems of particles, rigid bodies and systems of rigid bodies. In particular Lagrangian methods including generalized coordinates, velocities, momenta and forces, cyclic coordinates and conservation laws.
Applications include dynamics of planar multibody mechanisms, gyroscopic effects in 3D-motion, impact problems, linearization and coupled oscillations, normal modes. Problems are treated with modern computational methods including symbolical (Maple) and numerical treatment.
Eligibility
SG1130, and SG1140 or SG1113
Literature
Recommended: H. Baruh ”Analytical Dynamics” Mc Graw-Hill, 1999.
Lecture notes by Hanno Essén cover most of the material.
Examination
- INL1 - Assignments, 2.0, grading scale: P, F
- TEN1 - Examination, 5.0, grading scale: A, B, C, D, E, FX, F
Requirements for final grade
Home assignments and written exam.
Offered by
SCI/Mechanics
Contact
Arne Nordmark
Examiner
Arne Nordmark <nordmark@kth.se>
Add-on studies
SG2126, SG2127.
Version
Course syllabus valid from: Autumn 2007.
Examination information valid from: Autumn 2007.