Coursecode: wb1304
Coursename: Mechanics of Materials 3A

DUT creditpoints: 1
ECTS creditpoints: 2
Faculty of Mechanical Engineering and Marine Technology
Lecturer(s): Dr.ir. F. van Keulen Tel.: 015-2786515
Catalog data:
Plate bending, finite elements, buckling, stability		 Course year: 3
Period: 0/2/0/0/0
Hours p/w: 2
Other hours: 3
Assessment: Written
Assessm.period(s): 2,3
(see academic calendar)
Prerequisites: wb1204
Follow up: wb1305
Detailed description of topics:
The course sets out with a summary of the equations of the continuum mechanics, as presented in course wb1204. In addition, a short description of the principle of virtual work is given. The theory of the bending of thin plates is presented. Its restrictions are discussed in detail. On the basis of the principle of virtual work the governing equations for plate bending will be established. A few examples will be presented in order to show some typical features of the governing plate equations.The derivation of approximate solutions will be demonstrated on the basis of the principle of the minimum of potential energy. An introduction in the field of finite elements for plate bending will be given. Buckling and initial post-buckling will be demonstrated by means of simple examples. The effects due to imperfections will be included. The analysis of the problem of elastic stability will be based on potential energy and will be worked out in full detail for discreet systems. The presented theory will be applied to finite elements.
Course material: Reader
References from literature:
  • Koiter, W.T., Stijfheid en Sterkte I/Grondslagen
  • Fung, Y.C., Foundations of Solid Mechanics, Prentice-Hall, Inc., New Jersey (1965)
  • Timoshenko, S.P. en Woinowsky-Krieger, S., Theory of Plates and Shells, Second Edition McGraw-Hill Book Company, Inc., New York, 1959
  • Washizu, K., Variational Methods in Elasticity and Plasticity, Third Edition, Pergamon, 198
  • Pignataro, M., Rizzi, N. en Luongo, A., Stability, bifurcation and postcritical behaviour of elastic
    structures, Developments in civil engineering, 39, Elsevier, 1991
  • Timoshenko, S.P., Gere, J.M., Theory of elastic stability, Second Edition, McGraw-Hill, 1981
  • Bazant, Z.P. en Cedolin, L., Stability of structures; elastic, inelastic, fracture and damage theories,
    Oxford University Press, 1991
Remarks (specific information about assesment, entry requirements, etc.):
Before participation in the examination, it is strongly recommended to finish the course work. Marks will not be passed on to the administration if the course has not been completed sufficiently.
Goals:
The present course attempts to establish knowledge on thin-walled structures and the problem of elastic stability. Particularly, the focus is aimed atthe numerical analysis of these types of problems.
Computer use:
The course work exercises must be completed partly by using the ANSYS finite element program. Students are encouraged to use the ANSYS student edition at home.
Laboratory project(s):
Computer project.
Design content:
The topics presented in the present course are essential for design processes. Especially the design of thin-walled structures requires knowledge of the topics presented.
Percentage of design: 40%