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TTK4130 - Modelling and Simulation

About

Examination arrangement

Examination arrangement: School exam
Grade: Letter grades

Evaluation Weighting Duration Grade deviation Examination aids
School exam 100/100 4 hours A

Course content

The course gives an introduction to methods for modeling and simulation of physical processes, for use in control applications. 1. Models, model properties and modeling tools: The student will know the most common model classes, and have knowledge of some central model properties that are useful for control systems. 2. Numerical simulation: The student should be able to simulate a state-space model in a computer. This entails implementation of explicit and implicit ODE/DAE methods, and to know principles of state-of-the-art ODE solvers (e.g. as implemented in Matlab). The students will be exposed to the challenges and pitfalls that can be encountered in numerical simulations. 3. Rigid body dynamics: The student should be able to write down equations of motion for simple systems of rigid bodies, which gives a basis for modeling of mechanical systems such as robots, marine vessels, cars, and airplanes. The students will know the Lagrange method, which allows to model complex multi-body systems easily. 4. -Modelling of mechanical, electrical, hydraulic systems, as well as composite (multi-domain) systems.

Learning outcome

Knowledge: At the end of the course, the student should know: 1 Models, model properties and some modeling tools: - Know the most important model classes. - Understand how to manipulate models / model approximations to change their class. 2 Numerical simulation: - Derive and be able to use explicit and implicit methods (Runge-Kutta). - Analyze the stability of one-step methods, and know the difference between different classes, and the consequences this has for choice of method. 3 Rigid body dynamics: - Know coordinate-based and coordinate free (dyadics) descriptions of rigid body kinematics. - Know the most important parameterizations of rotations. - Be able to differentiate vectors, and understand the concept of angular velocity. - Know the principles for use of Lagrange equations of motion. - Use constrained Lagrange for multi-body dynamics. 4 System modelling: Be able to use the bond graph method for modelling mechanical, electrical, hydraulic and composite systems. Skills: At the end of the course, the student should be able to: 1 Recognize models of different forms and their properties 2 Implement explicit and implicit Runge-Kutta methods. 3 Write down equations of motion for simple and multi-body systems of rigid bodies. The student should be able to communicate technological issues to both experts and others.

Learning methods and activities

Lectures and compulsory assignments including computer exercises. Approved assignments are required. The lectures will be in English.

Compulsory assignments

  • Exercises

Further on evaluation

If there is a re-sit examination, the examination form may be changed from digital to oral.

Course materials

To be announced in class (via Blackboard).

Credit reductions

Course code Reduction From To
SIE3025 7.5
More on the course

No

Facts

Version: 1
Credits:  7.5 SP
Study level: Third-year courses, level III

Coursework

Term no.: 1
Teaching semester:  SPRING 2025

Language of instruction: English

Location: Trondheim

Subject area(s)
  • Technological subjects
Contact information
Course coordinator:

Department with academic responsibility
Department of Engineering Cybernetics

Examination

Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Spring ORD School exam 100/100 A INSPERA
Room Building Number of candidates
Summer UTS School exam 100/100 A INSPERA
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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