Course code: wb1416

Course name: Numerical Methods in Engineering Dynamics

This concerns a Course

ECTS credit points: 3

Faculty of Mechanical Engineering and Marine Technology

Section of Engineering Mechanics

Lecturer(s): Daniel J. Rixen

Tel.:  015 - 27 81523 /      

Catalog data:

Course year:

MSc 1^st year

Course language:

English

In case of Dutch: Please contact the lecturer about an English alternative, whenever needed.

Semester:

2A / 2B

Hours per week:

Other hours:

16

Assessment:

Oral exam

Assessment period:

2B, August

(see academic calendar)

Prerequisites (course codes):

Statics and Strength of materials, Dynamics (e.g. wb1418, wb1419), Linear Algebra, Numerical Analysis (e.g. wi3097wb), Finite Elements (e.g. wb1212-1214)

Follow up (course codes):

Multibody Dynamics B (wb1413)

Detailed description of topics:

Using engineering tools as black boxes can be dangerous and inefficient. This is especially true when performing dynamic analysis of structures in a finite element package. Choosing the right finite element types and the suitable solution procedure is critical to get accurate results and to compute solutions efficiently. In order to discuss basic principles of numerical methods for dynamics and to explain fundamental concepts related to dynamic analysis, the course will cover the following topics:

-  Linear solvers, storage techniques and singular systems

-  Free vibration modes, mode superposition techniques and eigensolvers for large systems

-  Accuracy of modal superposition, modal acceleration, system excited through support

-  model reduction, including dynamic substructuring

-  time-integration of linear and non-linear systems

-  computing senstitivity of modes and eigenfrequency to design parameters, model updating

-  Parallel computing techniques for fast solvers

 Some topics might be dropped depending on students background. Specific topics might also be discussed if time permits.

In this courses emphasis will be put on understanding fundamental concepts of numerical methods and how they relate to the mechanics of structures. Therefore, the oral (open book) exam will concentrate on the mastering of concepts rather than on formulation details. If time permits, a computational project will be included (using Matlab pre-cooked routines and/or Ansys-Nastran).

Course material:

•  Lecture notes (available through blackboard)

References from literature:

• Mechanical Vibrations, Theory and Application to Structural Dynamics, M. Géradin and D. Rixen, Wiley, 1997.
• The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, T.J.R. Hughes Prentice-Hall, 1987.
• Finite Element Procedures, K.J. Bathe, Prentice-Hall, 1996
• Structural Dynamics: an introduction to computer methods, R.R. Craig, Wiley, 1981, ISBN 0-471-04499-7
• Matrix Computation, G.H. Golub and C.F. Van Loan, Johns Hopkins University Press, 1996.

Remarks assessment, entry requirements, etc.:

An assignment will be given in ANSYS/Matlab (topic can be defined by students) time permitting.

Learning goals:

The objective of the course is to explain basic concepts specific to numerical methods typically used in dynamic analysis codes for engineers.

Computer use:

Use of ANSYS and/or Matlab for assignment and illustration

Laboratory project(s):

-

Design content:

-

Percentage of design:  -0%