Basics Of Fea-I

Learn basic concepts of Matrix Algebra, Differential Equations and their solutions and FEM-Weighted Residue Approach

What you'll learn
Basics of Finite Element Analysis
Matrix Algebra and its applications
Differential Equations and their solutions
FEM-Weighted Residue Approach
Requirements
Basic Mathematics
Basics of core subjects of Mechanical/Civil/Automobile/Production Engineering
Description
This course is the first part of the lecture series of Finite Element Analysis subject. It takes you through various topics like Matrix Algebra, Differential Equations and their solutions and FEM-Weighted Residue Approach. Various numerical are solved to explain different concepts and their applications. These topics help while solving of next course chapters and also help in understanding of ANSYS solutions. Basic Mathematics is the requirement for understanding of this subject.We start with Introduction to Finite Element Analysis, its advantages, disadvantages and applications. Then we brush up some basics of Matrix Algebra and learn the Gauss Elimination Method for finding inverse of a higher order matrix.Further, we move to the Basics of linear differential equations and the ways to calculate their solutions which is called the Exact Method.Then we study FEM-Weighted Residue Approaches and the 7 methods to find solution of Linear Differential Equations which is a Finite Difference Method based on Taylor's series method and compare the solution with exact method. This is very important as ANSYS solutions need to be checked by exact solution for their accuracy. We study the Weak and Non-Weak form type methods to find the solution namely Sub-domain, Galerkin, Petrov-Galerkin, Collocation, Least Square and Rayleigh Ritz methods.

Overview

Section 1: Introduction

Lecture 1 Introduction to Finite Element Analysis

Lecture 2 Basics of Matrix Algebra

Lecture 3 Gauss Elimination Method

Section 2: Linear Differential Equations

Lecture 4 Basics of Linear Differential Equations

Lecture 5 Finite Difference Method(F.D.M.)

Lecture 6 Numerical #1

Lecture 7 Numerical #2

Lecture 8 Numerical #3

Lecture 9 Numerical #4

Section 3: FEM-Weighted Residue Approach

Lecture 10 Introduction to FEM-Weighted Residue Approach

Lecture 11 Numerical #1

Lecture 12 Numerical #2

Lecture 13 Numerical #3

Lecture 14 Numerical #4

Lecture 15 Numerical #5

Lecture 16 Numerical #6

Lecture 17 Numerical #7

Diploma in Mechanical/Civil/Automobile/Production Engineering Students,Competitive Exam students like GATE, IES etc.,Degree students of Mechanical/Automobile/Civil/Production Engineering Students