TMME09 |
Engineering Mechanics - rigid body dynamics, 6 ECTS credits.
/Mekanik - stelkroppsdynamik/
For:
M
MSK
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Prel. scheduled
hours: 80
Rec. self-study hours: 80
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Area of Education: Technlogy
Subject area: Mechanical Engineering
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Advancement level
(G1, G2, A): G1
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Aim:
The goal of the course is to give the student familarity with the basic laws of classical mechanics and the skill to apply them independently to actual problems. After the course, the student should be able to:
- Explain the difference between different idealized models of real bodies: particle, rigid body and deformable continuum.
- Define the basic concepts in mechanical engineering as velocity,accelerartion,force,couple,linear impulse and linear momentum,angulare impulse and angulare momentum,power,mechanical work,energy and gyroscopic motion.
- Be able to perform simple derivations of theorems and expressions used in dynamics of a rigid body.
- Formulate and solve engineering problems of the type treated in the course.
- Derive the governing differential equations for a mechanical system and solve these numerically with MATLAB,and be able to judge the plausibility of computed results.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Basic courses in algebra, calculus, statics and particle dynamics.
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Supplementary courses:
Mechanics, second course, Multi body dynamics and robotics, Models of mechanics, Flight mechanics, Vibration analysis of structures, Solid mechanics, Continuum mechanics, Structural optimization
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Organisation:
The lectures treats topics of principal importance, and might, apart from theory and examples, also contain clarifying experiments. The purpose of the lessons is to give the student an ability to solve problems independently. A computer assignment is mandatory.
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Course contents:
Plane kinematics of rigid bodies (velocity and acceleration, instantaneous center of zero velocity). Plane kinetics of rigid bodies (Eulers equations of motion, mass moment of inertia, power, work, energy, impulse, moment of impulse, impact). Three dimensional kinematics of rigid bodies (the engular velocity vector, velocity, acceleration, relative motion). Three dimensional motion of rigid bodies (Eulers equations of motion, the inertia matrix, rotation about a fixed axis, Eulers equations, work, energy, impulse, moment of impulse, impact, gyroscopic motion).
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Course literature:
A. Pytel och J. Kiusalaas: Engineering Mechanics Statics and Dynamics, Second Edition with full SI Units, Thomson Learning 2001.
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Examination: |
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Written examination Computer simulation |
5 ECTS 1 ECTS
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Course language is Swedish.
Department offering the course: IEI.
Director of Studies: studierektor@ikp.liu.se
Examiner: Carl-Gustaf Aronsson
Link to the course homepage at the department
Course Syllabus in Swedish
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