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Dynamics & Vibrations (Fall 2011) |
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| Course code : | ME-DYV-U1 | ||
| ECTS Credits : | 10 | Status : | Compulsory |
| Revised : | 19/10 2011 | Written : | 19/10 2011 |
| Placement : | 2. semester | Hours per week : | 8 |
| Length : | 1 semester | Teaching Language : | English |
| Objective : | To provide the students with a fundamental understanding of dynamic phenomena in mechanical systems, and to apply the laws of mechanics to the analysis and design of engineering systems such as vehicles, mechanisms and satellites. The use of computer software and graphing calculators supports both of these aspects. A student who has met the objectives of the course will be able to: • Use kinematical relations to describe and analyze rectilinear and curvilinear motion of particles. • Draw free-body diagrams for plane motion of particles and rigid bodies. • Describe and analyze the kinematics and kinetics of rigid bodies, linkages and mechanisms. • Apply the work-energy principle to plane motion of particles and rigid bodies, as well as to rigid bodies having three-dimensional motion. • Apply the principle of impulse and momentum to plane motion of particles and rigid bodies, as well as to rigid bodies having three-dimensional motion. • Describe and analyze three-dimensional kinematics of rigid bodies. • Describe relative-motion analysis of a rigid body using translating and rotating axes. • Calculate the moments of inertia and products of inertia of a rigid body about various axes. • Use Euler’s equations of motion to solve practical problems in engineering dynamics. • Describe and analyze gyroscopic and torque-free motion of rigid bodies. • Describe and analyze one-degree-of-freedom vibrations of a rigid body. • Apply energy methods to solve problems in mechanical one-degree-of-freedom vibrations. • Use computer software and graphing calculators for the solution and the graphical illustration of dynamics and vibration problems. • Apply the topics of the lectures to practical problems through project work in groups. • Learn new topics in engineering dynamics through guided projects. • Organize project work in small groups. • Write a professional project report containing the mathematical and dynamic analysis and the solutions of the problems posed in the assignments. |
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| Principal Content : | Kinematics of particles and rigid bodies. Kinetic energy, linear and angular momentum. General equations of motion of particles and rigid bodies. Work-energy relations. The principle of impulse and momentum. Kinematics and kinetics of linkages and mechanisms Three-dimensional kinematics and kinetics of rigid bodies. Relative-motion analysis using translating and rotating axes. Gyroscopic and torque-free motion. Free and forced vibrations of systems of one degree of freedom. | ||
| Teaching method : | The pedagogy of the course is “problem-based learning”. Approximately half of the time allocated to the course will be used in guided project work in groups. The course projects will give the students an opportunity to apply basic concepts learned in the class to real-life problems, and to learn new concepts in dynamics and vibrations that are not covered in the lectures. There will be introductory and summing up lectures and the students will work in small groups with projects, problem solving, simulations and case studies. |
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| Required prequisites : | Mathematics & Modeling I (ME-MAM1) or equivalent. |
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| Recommended prerequisites : | Mechanics & Materials I (ME-MEM1). | ||
| Relations : | The course is fundamental to the whole study program in mechanical engineering. | ||
| Type of examination : | Look under remarks | ||
| External examiner : | External | ||
| Marking : | 7 step scale | ||
| Remarks : | The evaluation of each student will be based on a four-hour written exam, worth 50% of the final grade, and on a number of project assignments throughout the semester. A final group report containing the assignments should be submitted at the end of the semester. The group report is worth 50% of the final grade. This course is an integrated part of the study program “Engineering Design & Industrial Innovation” offered by the Department of Mechanical Engineering. It is, however, a general methodological course aimed at all engineering students, regardless of specialization. |
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| Teaching material : | Engineering Mechanics: Dynamics in SI Units Pack, 12th edition, by Russell C. Hibbeler, Prentice Hall 2009. - Lecture notes on CampusNet. |
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| Responsible teacher : | Imad Abou-Hayt
, iabo@dtu.dk Michael Bertelsen , miber@dtu.dk |
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