TAILIEUCHUNG - Lecture Introduction to the finite element method

Lecture Introduction to the finite element method has contents: Introduction, finite element equations for heat transfer, fem for solid mechanics problems, finite elements, discretization, assembly and solution. | I NTRODUCTION TO THE F INITE E LEMENT M ETHOD G. P. Nikishkov 2004 Lecture Notes. University of Aizu, Aizu-Wakamatsu 965-8580, Japan niki@ 2 Updated 2004-01-19 Contents 1 5 What is the finite element method . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 How the FEM works . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Formulation of finite element equations . . . . . . . . . . . . . . . . . . . . . . . . . 6 Galerkin method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2 Introduction Variational formulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 11 Problem Statement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Finite element discretization of heat transfer equations . . . . . . . . . . . . . . . . . 12 3 Finite Element Equations for Heat Transfer Different Type Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 15 Problem statement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Finite element equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 4 FEM for Solid Mechanics Problems Assembly of the global equation system . . . . . . . . . . . . . . . . . . . . . . . . . 18 Finite Elements 21 Two-dimensional triangular element . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Two-dimensional isoparametric elements . . . . . . . . . . . . . . . . . . . . . . . . 22 Shape functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 Strain-displacement matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 Element properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Integration in quadrilateral elements . . . . . . . . . . . . . . . . . . . . . . . 25 Calculation of

• Toán học
• Introduction to the finite element method
• The finite element method
• Finite element equations
• Heat transfer
• Fem for solid mechanics problems
• Finite elements
• Introduction to mechanics
• Fundamentals for finite element method
• Finite element method
• FEM for beams
• FEM for frames
• FEM for Two Dimensional solids
• Lecture Finite element method
• Bài giảng Phương pháp phần tử hữu hạn
• Stiffness method
• Stiffness matrix
• Boundary conditions
• Introduction to FEM
• FEM for structure
• Boundary value problem
• Weak form of boundary value problem
• A first course in the finite element method
• Introduction to the stiffness method
• Development of truss equations
• Development of beam equations
• The plane stress
• Numerical method
• Electro Magnetic analysis
• Structural analysis
• Thermal analysis
• Introduction to finite element analysis Using MATLAB
• Finite Element Analysis Using MATLAB
• The computer implementation
• Carried out in both MATLAB and Abaqus
• Theory of the finite element method
• Historical introduction
• Weighted residual
• Variational methods
• Elliptic problems
• Methods of Weighted Residuals
• Generalized displacements
• Vibration analysis
• The finite element
• Linear triangular elements
• Fractical notions
• Evolution problems
• New classes of elements
• khoa học
• tự nhiên
• toán học
• Review of Matrix Algebra
• Introduction to Finite Element Method
• A practical course abaqus
• Computational modelling
• Fem for trusses
• Introduction to mechanics for solids
• Higher order elements
• The isoparametric concept
• Computational fluid dynamics
• CFD techniques
• partial differential equations
• basic theoretical
• algorithmic aspects