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Finite Element Method, AdvancedLaajuus (5 cr)

Code: 5K00GH07

Credits

5 op

Objectives

The student will get knowledge in the theoretical basis of the finite element method and is able to perform FEM-analyses of structures and machine parts under static loading conditions. The student will learn to perform dynamical and nonlinear analyses, can solve eigenvalues and -modes and analyse the stability of the structure using commercial FEM-program. The student will get conception of the handling of large structures and models. Student is able to analyse measurements with FEA.

Content

The basic equations of the finite element method in elasticity. Variational methods: Energy principles, Ritz and Galergin method. Interpolation and numerical integration. The finite element method of two- and three-dimensional solid bodies. The finite element method of plates and shells. Solving linear dynamical problem by FEM. Stability analysis. Eigenvalues and -modes. Nonlinear problems. Contacts. Large FEM-models. Laroratory measurements exersices and result analysis.

Prerequisites

Prerequisites: The student knows the principles of statics, dynamics and strength of materials and is familiar with the basics of the theory of elasticity and the theory of plates and shells. The student has previous experience in using a FEM-program.

Assessment criteria, satisfactory (1-2)

Identifies the basic concepts of the general element method and performs the given tasks under supervision. Controls the basic use of FEM software.

Assessment criteria, good (3-4)

Is able to utilize the theory of the element method in FEM calculation and performs dynamic and nonlinear analyzes independently with FEM software. Can evaluate the results of calculations.

Assessment criteria, excellent (5)

Understands the structure of general element method theory. Can use FEM software creatively, finding different ways of working.