Finite Element Method, Advanced (5 cr)

Objectives (course unit)

The student will get a deep knowledge in the theoretical basis of the finite element method and is widely 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 by FEM-program. The student will get conception of the handling of compound structures and large models. Student is able to analyse measurements with FEA.

Content (course unit)

The basic equations of the finite element method in elasticity. 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. Compound structures. Large FEM-models. Laroratory measurements exersices and result analysis.

Prerequisites (course unit)

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) (course unit)

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) (course unit)

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) (course unit)

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

Exam schedules

Exam is replaced with homework assignments

Assessment scale

0-5

Teaching methods

Lähiopetus
Oppimistehtävät
Kotitehtävät

Learning materials

Material in Moodle
J.N. Reddy: An Introduction to Finite Element Method
https://andor.tuni.fi/permalink/358FIN_TAMPO/176jdvt/cdi_mcgrawhill_accessengineeringlibrary_scn00100358

Student workload

Lecture topics:
Mathematical preliminaries and classical variational methods. 1D- and 2D-interpolation. Numeriacal interpolation. 2D- and 3D solid elements.
Computer exercises:
Course includes three learning assignments. Assingments are done and reported in groups of two. Reports are graded with points. Maximum amount of points from assinments is 3x10=30 point. To pass the course minimum of 10 points is required from the assingments.
Homework:
Homework assignments are graded with points. Maximum amount of points from assinments is 5x5=25 point. To pass the course minimum of 10 points is required from the homework assingments.