Master
In Maynard (USA)
Description
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Type
Master
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Location
Maynard (USA)
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Start date
Different dates available
This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies; steady motions and small deviations therefrom, gyroscopic effects, and causes of instability; free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane; nonholonomic systems; and an introduction to wave propagation in continuous systems.
Facilities
Location
Start date
Start date
Reviews
Subjects
- Kinematics
- Systems
- Mechanics
Course programme
Lectures: 2 sessions / week, 1.5 hours / session
Topics will be covered in the following order:
I. Introduction
II. Kinematics of 3-D Motion of Rigid Bodies
III. Momentum Principles for Rigid Bodies
IV. Variational Formulation
V. Stability of Motion
VI. Vibration Analysis
VII. Continuous Systems
The course will be based on the material presented in the lectures. There is no required textbook, although the following books are recommended and will be placed on library reserve.
Baruh, H. Analytical Dynamics. New York, NY: McGraw-Hill, 1998. ISBN: 9780073659770.
Ginsberg, J. H. Advanced Engineering Dynamics. 2nd ed. Cambridge, UK: Cambridge University Press, 1995. ISBN: 9780521470216.
Crandall, S. H., D. C. Karnopp, E. F. Kurtz, Jr., and D. C. Pridmore-Brown. Dynamics of Mechanical and Electromechanical Systems. Malabar, FL: Krieger, 1982. ISBN: 9780898745290.
Moon, F. C. Applied Dynamics. New York, NY: Wiley, 1998. ISBN: 9780471138280.
Greenwood, D. T. Classical Dynamics. New York, NY: Dover Publications, 1997. ISBN: 9780486696904.
———. Principles of Dynamics. Upper Saddle River, NJ: Prentice-Hall, 1987. ISBN: 9780137099818.
There will be about 10 problem sets; you will have a week to work on each. Some problems will require the use of a computer, and familiarity with MATLAB® would be helpful. No late homework will be accepted. You may discuss problems with others in the class but you must (a) write up your eventual solution independently, and (b) list the names of students with whom you discussed the problem set.
There will be two in-class closed-book exams. There will be no final exam.
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Dynamics