Mechanics, second course, 6 credits

Mekanik, fortsättningskurs, 6 hp

TMME19

Main field of study

Mechanical Engineering

Course level

Second cycle

Course type

Programme course

Examiner

Lars Johansson

Director of studies or equivalent

Peter Schmidt

Education components

Preliminary scheduled hours: 58 h
Recommended self-study hours: 102 h
Possible deviation from course syllabus/programme syllabus
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6CDPU Design and Product Development 7 (Autumn 2017) 1 4 Swedish Linköping, Valla E
6CMMM Mechanical Engineering, M Sc in Engineering 7 (Autumn 2017) 1 4 Swedish Linköping, Valla E
6CMMM Mechanical Engineering, M Sc in Engineering 7 (Autumn 2017) 1 2 Swedish Linköping, Valla E

Main field of study

Mechanical Engineering

Course level

Second cycle

Advancement level

A1X

Course offered for

  • Design and Product Development
  • Mechanical Engineering, M Sc in Engineering

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Prerequisites

Calculus in one and several variables including differential equations, vector algebra, matrix algebra, statics, particle dynamics, basic rigid body dynamics.

Intended learning outcomes

To develop the knowledge of rigid body dynamics to a level where problems where the motion as a function of time of a rigid body in three dimensions can be analyzed and solved using a computer. After the course, the student should be able to:

  • Apply Coriolis equation to formulate the equations of motion and rotational motion in an accelerating and rotating coordinate system.
  • Apply some parameterization of the coordinate transformation matrix to transform vectors between coordinate systems and to write relations between orientation and angular velocity for a rigid body.
  • Formulate a system of first order differential equations for the motion of a rigid body in a rotating and accelerating coordinate system.
  • Implement such differential equations to compute the motion of a rigid body with specified forces and moments on a computer.

Course content

Newton's equations of motion, the concept of an inertial system,
coordinate transformations, Coriolis' equation, the moment equation,
moment of momentum, the inertia tensor, differential-algebraic systems,
the Euler angles, the Euler parameters, the strap-down equations,
Newton's bucket, gravitational and inertial mass.

Teaching and working methods

The course is given as a series of lectures and computer sessions.
The examination is in the form of individual computer assignments,
using Matlab, submitted as written reports.

Examination

UPG1Exercise6 creditsU, 3, 4, 5

Grades

Four-grade scale, LiU, U, 3, 4, 5

Other information

Supplementary courses: Flight Mechanics, Multi Body Dynamics and Robotics, Road Vehicle Dynamics

Department

Institutionen för ekonomisk och industriell utveckling

Director of Studies or equivalent

Peter Schmidt

Examiner

Lars Johansson

Course website and other links

Education components

Preliminary scheduled hours: 58 h
Recommended self-study hours: 102 h

Course literature

Additional literature

Books

  • Wiesel, W.E, (2010) Spaceflight Dynamics 3rd edition
Code Name Scope Grading scale
UPG1 Exercise 6 credits U, 3, 4, 5

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva. 

Student rights and obligations (login required)
Linköping University common rules and regulations (in Swedish)

Additional literature

Books

Wiesel, W.E, (2010) Spaceflight Dynamics 3rd edition

Download

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize
I U A Modules Comment
1. DISCIPLINARY KNOWLEDGE AND REASONING
1.1 Knowledge of underlying mathematics and science (G1X level)
X
X
X
UPG1
 

                            		
                        

                        

                            
                            1.2 Fundamental engineering knowledge (G1X level)
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            1.5 Insight into current research and development work
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                    
                    
                        

                            
                                2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
                            
                        

                    
                    
                        

                            
                            2.1 Analytical reasoning and problem solving
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            2.2 Experimentation, investigation, and knowledge discovery
                            
                                
 

                            		
                            
                                
X

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            2.3 System thinking
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            2.4 Attitudes, thought, and learning
                            
                                
 

                            		
                            
                                
X

                            		
                            
                                
X

                            		
                            
                                  
UPG1

                            		
                            
                                

                            		
                        

                        

                            
                            2.5 Ethics, equity, and other responsibilities
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                    
                    
                        

                            
                                3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
                            
                        

                    
                    
                        

                            
                            3.1 Teamwork
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            3.2 Communications
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
X

                            		
                            
                                  
UPG1

                            		
                            
                                

                            		
                        

                        

                            
                            3.3 Communication in foreign languages
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                    
                    
                        

                            
                                4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
                            
                        

                    
                    
                        

                            
                            4.1 External, societal, and environmental context
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            4.2 Enterprise and business context
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            4.3 Conceiving, system engineering and management
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            4.4 Designing
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            4.5 Implementing
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            4.6 Operating
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                    
                    
                        

                            
                                5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
                            
                        

                    
                    
                        

                            
                            5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            5.2 Economic conditions for knowledge development
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            5.3 Identification of needs, structuring and planning of research or development projects
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            5.4 Execution of research or development projects
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                        

                            
                            5.5 Presentation and evaluation of research or development projects
                            
                                
 

                            		
                            
                                
 

                            		
                            
                                
 

                            		
                            
                            
                            
                                

                            		
                        

                    
            

        




            

        

            


        

            
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