Engelska Studiehandboken kurser

Mechanical Engineering

MTM030 Variational Methods in Solid Mechanics 9.0 ECTS credits

DENNA SIDA FINNS OCKSÅ PÅ SVENSKA

General information about studying at Luleå university

TIMEPERIOD: Q I-II

LANGUAGE: English/Swedish

EXAMINER
K Eriksson Univ lekt

PREREQUISITES
MTM062 Solid mechanics and Machine elements, MTM026 Plates and shells

COURSE AIM
The aim of the course is to provide the basics about using variational calculus and energy methods to solve structural and solid mechanics problems with modern and efficient techniques.

CONTENTS
Cartesian tensors: Tensor notation. Vector operations in tensor notation. Gauss's theorem. Theory of linear elasticity: Stress and strain. Equations of motion. Compatibility. Hook's law. Energy considerations. Calculus of variation: Simple functionals. The delta operator. Euler-Lagrange equations. Variational principles of elasticity. The methods of Ritz and Galerkin. Structural mechanics: The Timoshenko beam theory. The deflection of plates. Hamilton's principle. Vibrations of beams. Rayleigh-Ritz method for plates. Elastic stability of columns and plates.

TEACHING
The basic concepts are developed in lectures and applied through examples and exercises.

EXAMINATION
There is a written examination at the end of the course.
COURSE GRADE SCALE:

ITEMS/CREDITS


Written exam                                                	9.0ECTS

COURSE LITTERATURE
Shames I.H. & Dym C.L. Energy and Finite Element Methods in Structural Mechanics. Hemisphere Publ Corp.

REMARKS

Last modified : 97-06-05 by Jan Lindberg

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