Master

In Maynard (USA)

Price on request

Description

  • Type

    Master

  • Location

    Maynard (USA)

  • 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

Maynard (USA)
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02139

Start date

Different dates availableEnrolment now open

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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

Price on request