Coursecode: wb1413
Coursename: Multibody Dynamics B

Checkout the wb1413 home-page for up-to-date information.

DUT creditpoints: 2
ECTS creditpoints: 3

Subfaculty of Mechanical Engineering and Marine Technology

Lecturer(s): Schwab, ir. A.L.

Tel.: 015-2782701

Catalog data:
Dynamics of Mechanical Systems, Multibody System Dynamics, Kinematics, Finite Element Method.

Course year: 4
Semester: 0/0/2/2
Hours p/w: 2
Other hours: 2
Assessment: See remarks
Assessm.period(s): See remarks
(see academic calendar)

Prerequisites: wb1205, (wb1310).

Follow up:

• 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.

Course material: Lecture notes.

• 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.

Remarks (specific information about assesment, entry requirements, etc.): Examnination: essay of an individual assignment. Examination by appointment

Goals: Acquiring the theoretical background for analyzing general three-dimensional multibody systems in depth. Research preparation for the field of Multibody System Dynamics.

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.

Laboratory project(s): none.

Design content: none

Percentage of design: 0%