Students are familiar with the basic theoretical background of the method of finite elements. They know about the application to problems of linear static and dynamic systems.

B2.06060.12.020 - Mathematical modeling EinführungB2.06060.22.030 - Strength of 1B2.06060.31.060 - Numerical MethodenB2.06060.52.220 - Technical Systems SimulationB2.00000.11.020 - computer science and programming C / C AB2.00000.12.090 - computer science and Programming C / CB

Variational principles of mechanics

Method of weighted residuals method according to Galerkin and Rayleigh-Ritz

Displacement formulation

Numerical integration

Element stiffness matrices: continuum elements in 2D and 3D, Structural elements (rods, beams, slabs, plates, shells)

Global stiffness matrices

Linear static, boundary conditions, Equation Solver

Linear Dynamics, explicit and implicit time integration

Eigenvalue problems: stability, self-oscillations

Element technology: reduced integration, hybrid and extended shape functions

J. Wissmann, K.-D. Sarnes: Finite Elemente in der Strukturmechanik. Springer 2006

M. Link: Finite Elemente in der Statik und Dynamik. 3. Aufl., Teubner 2002

Moaveni: Finite Element Analysis, Theory and Application with ANSYS,

Pearson - Prentice Hall 2007

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