Coursecode:
wb1413
Coursename: Multibody Dynamics B
Checkout the
wb1413
home-page for up-to-date
information.
Course will not be given in 2002-2003
DUT creditpoints: 2
ECTS creditpoints:
3 |
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Faculty of
Mechanical Engineering and Marine Technology |
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Lecturer(s):
Schwab, dr.ir.
A.L. |
Tel.: 015-27
82701 |
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Catalog data:
Dynamics of Mechanical Systems, Multibody System Dynamics,
Kinematics, Finite Element Method. |
Course year: MSc 1st year
Semester: 2A / 2B
Hours p/w: 2
Other
hours: 2
Assessment: See remarks
Assessm.period(s):
See remarks
(see academic calendar) |
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Prerequisites: wb1211,
(wb1310). |
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Follow up: |
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Detailed description of topics:
Newton-Euler equations for a simple planar
system, free body diagram, constraint equations and constraint forces,
uniqueness of the solution.
Systematic approach for a system of
interconnected rigid bodies, vritual power method and Lagrangian
multipliers.
Transformation of the equations of motion
in terms of independent coordinates, Lagrange equations.
Numeric integration of the equations of
motion, stability and accuracy of the applied methods.
Numeric integration of a coupled
differential and algebraic system of equations (DAE's), Baumgarte
stabilisation, projection method and independent
coordinates.
Newton-Euler euqtions of motion for a
rigid 3 dimensional body, the need to describe orientation in space,
Euler- and Cardan angles, Euler parameters and
Quaternions.
Equations of motion for a flexible
multibody system, Finite Element Method approach, Linearised equations
of motion.
Upon request and if time and knowledge of the
lecturer allows, related topics can be discussed. |
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Course material: Lecture notes. |
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References from literature:
- J. Wittenburg, Dynamics of systems of rigid
bodies, Teubner, Stuttgart, 1977.
- R.E. Roberson, R. Schwertassek, Dynamics of
multibody systems, Springer-Verlag, Berlin, 1986.
- P.E. Nikravesh, Computer-aided analysis of
mechanical systems, Prentice-Hall, Englewood Cliffs, 1988.
- E.J. Haug, Computer aided kinematics and
dynamics of mechanical systems, Volume I: Basic methods, Allyn and
Bacon, Boston, 1989.
- A.A. Shabana, Dynamics of multibody systems,
Wiley, New York, 1989.
- W.O. Schiehlen (ed), Multibody systems
handbook, Springer-Verlag, Berlin, 1990.
- R.L. Huston, Multibody dynamics,
Butterworth-Heinemann, Stoneham, 1990.
- M. Geradin, D. Rixen, Mechanical Vibrations,
Theory and Application to Structural Dynamics, Wiley, New York,
1994.
- F.C. Moon, Applied Dynamics, Wiley, New
York, 1998.
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Remarks (specific information about assesment,
entry requirements, etc.): Examnination: essay of an individual assignment. Examination by
appointment |
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Goals: Acquiring the theoretical background for analyzing general
three-dimensional multibody systems in depth. Research preparation for the
field of Multibody System Dynamics. |
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Computer use: The course is computer-oriented. In doing the assignments the
students will use a Multibody Dynamics software package and they will have
to do extensive post-processing with the help of MATLAB. |
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Laboratory project(s): none. |
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Design content: none |
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Percentage of design: 0% |