Eléments finis - calcul de structuresGénie mécanique 3 (GSI)

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

Differential equations, full calculation.

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.