This course consists of lectures on the fundamental theory of the finite element method and exercises in finite element analysis using computers.
The aim of this course is for students to acquire the ability to make practical use of the finite element method.
Students learn basic theory and practical analysis techniques of 2D elasticity finite-element method. They understand analysis precision, how to construct FEM models, and evaluation methods of the analysis result.
Elasticity, potential field, two dimensions, triangle element, isoparametric element
|Intercultural skills||Communication skills||✔ Specialist skills||Critical thinking skills||Practical and/or problem-solving skills|
Lectures in the first half of this course will be about the principles of the finite element method of potential fields. Lectures in the second half will be about finite element method for elastic bodies. Students will also learn to apply analysis methods through exercises.
|Course schedule||Required learning|
|Class 1||Introduction||Do you understand the necessity of finite-element method?|
|Class 2||boundary value problem||Do you understand the solution of partial differential equation?|
|Class 3||approximate means of the 1D Poisson equation||Do you understand an approximate solution?|
|Class 4||Approximation by an interpolation function||Do you understand an interpolation function?|
|Class 5||approximate means of 2D Poisson equation||Do you understand two-dimensional Poisson's equation?|
|Class 6||discretization by triangle elements||Do you understand a triangle element?|
|Class 7||2D finite element method for Poisson equation||Can you analyze 2D models by 2D finite-element method?|
|Class 8||Stress and strain||Do you understand a stress and strain?|
|Class 9||Principle of virtual work||Do you understand principle of virtual work?|
|Class 10||Triangle element||Do you understand a triangle element of the two-dimensional deformation?|
|Class 11||isoparametric element||Do you understand isoparametric elements?|
|Class 12||Stiffness equation||Do you understand a stiffness equation?|
|Class 13||2D finite element method for elastic analysis||Do you understand a 2D elastic finite-element method?|
|Class 14||Finite element method for axisymmetric model||Is it possible to analyze axial-symmetry models?|
|Class 15||Summary||Is it possible to use a elasticity finite-element method analysis?|
FEM by Excel 、Asakura Shoten
Books specified by the instructor.
To be evaluated based on reports
It is preferable to have knowledge on Partial Differential Equations, Mechanics of Materials, Engineering Mechanics, Vector Analysis.