Eléments finis - calcul de structuresSciences de l'Ingénieur S7 (GSI)

Describe the static and dynamic behaviour of the structures from the finite element method.

Differential equations, integral calculation, material strength.

Galerkin's method for limiting problems

• Weighted residue method
• Matrix formulation Concept of finite elements
• Interpolation functions
• Isoparametric representation
• Elementary stiffness matrix and nodal force vector
• Gauss points method for calculating integrals Structure modelling by assembly of finite elements
• Assembly
• Method of resolution Structure dynamics finite element method
• Finished element modelling
• Basic mass matrix: some examples
• Harmonic response
• Time response
• Vibration-based model reduction

• Terminal review and, where appropriate, interim evaluation (coefficient 1)
• TP (coefficient 0.5)

[1] P. Papadopoulos, [2] J.-F. Imbert, "Analysis of finite element structures," 1995, Cepadues Editions. [3] Mr.Géradin and D. Rixen, "Mechanical Vibrations: Theory and Application to Structural Dynamics", 1994, Paris, Wiley. [4] Y.C. Fung, "Foundations of Solid Mechanics," 1965, Prentice-Hall Ins, Englewood Cliffs, New Jersey.