last modified 23/02/2006

Coursecode: mt825
Coursename: Introduction to the finite element method

ECTS creditpoints: 1,5

Faculty of Mechanical Engineering and Marine Technology

Lecturer(s): Hommel, ir. G.

Tel.: 015-27 86507

Catalog data:
finite element method, 2D and 3D trusses and beam structures, stiffness matrices, global stiffness matrix, prescribed displacements, coordinate transformations

Course year: BSc 2nd year
Semester: 1B
Hours p/w: 2
Other hours: 2
Assessment: Written
Assessm.period(s): 1B, 2A
(see academic
calendar)

Prerequisites: wb1112mt

Follow up:

Detailed description of topics:
introduction to the finite element method (displacement method), 2D an 3D trusses and beam structures, stiffness matrices, coordinate transformations, characteristics of global stiffness matrix, prescribed displacements, assembly and solution of the finite element equations

Course material:
Inleiding Eindige Elementenmethode, G. Hommel (in Dutch)

References from literature:
references available in course material

Remarks (specific information about assesment, entry requirements, etc.):
computer exercises are compulsory

Learning goals:

The student must be able to:

  1. Understand the basic concept of the finite element method

  2. Understand the principle of stiffnes matrix formulation for simple line-elements as 2D and 3D bars and beams

  3. Formulate the load vector in case of 2D and 3D bars and beams

  4. Formulate the global stiffness matrix of the structure, using the stiffness matrices of the individual elements

  5. Impose prescribed displacements

  6. Solve the displacements, and to calculate internal and reaction forces

  7. Understand and apply the basic methods of consistency checking, and to interprete the results

  8. Apply methods to to simplify the calculation proces

  9. Be able to make simple vibrationcalculations

Computer use:
computer demonstrations and exercises during the course

Laboratory project(s):
computer exercises

Design content:
analysis of trusses and beam structures

Percentage of design: 25%