Basics Of Finite Element Analysis Part-Ii

Learn basic concepts of Direct Applications of E.M.E., 2D Finite Element Formulations and Transient Dynamics Problems

What you'll learn
Basics of Finite Element Analysis
Direct Applications of Element Matrix Equation
2D Finite Element Formulations
Transient Dynamics Problems
Requirements
Basic Mathematics
Basics of core subjects of Mechanical/Civil/Automobile/Production Engineering
Description
This course is the second part of the lecture series of Finite Element Analysis subject. It takes you through various topics like Direct Applications of Element Matrix Equation(E.M.E.), 2D Finite Element Formulations and Transient Dynamics Problems. Various numerical are solved to explain different concepts and their applications. These topics help while solving of questions in ANSYS by manual calculation method and also help in understanding of ANSYS solutions. Basic Mathematics is the requirement for understanding of this subject.We start with introduction to Direct application of Element Matrix Equation(E.M.E.), followed by numerical on various topics of Stepped bar Analysis, Tapered bar analysis, Stepped Bar with thermal effect, Stepped bar with torsion effect, Heat Transfer Analysis, Fluid Flow and Fluid Network analysis, Spring Analysis, Beam Analysis and Truss Analysis. Further, we move to the 2D Finite Element Formulations topic. Here we discuss various derivations and numerical on Constant Strain Triangle (CST) , Stress analysis on CST element, Shape function basics, Shape function for Rectangular element with four nodes at vertices, Rectangular to Natural Coordinate system transformation for shape function calculation, Shape function for four, eight and nine nodded element. Also concepts of h and p type meshing, bandwidth and serendipity element is explained.Lastly we study about transient dynamic problems. Here modal vibration analysis is explained for axial and transverse vibration considering lumped and consistent mass matrix.

Overview

Section 1: Direct Applications of Element Matrix Equation

Lecture 1 Introduction

Lecture 2 Numerical-I Stepped Bar Analysis

Lecture 3 Numerical-II Stepped Bar Analysis

Lecture 4 Numerical-III Stepped Bar Analysis

Lecture 5 Numerical-IV Stepped Bar Analysis

Lecture 6 Numerical-V Stepped Bar Analysis

Lecture 7 Numerical-VI Horizontal Tapered Bar Analysis

Lecture 8 Numerical-VII Vertical Tapered Bar Analysis

Lecture 9 Numerical-VIII Stepped Bar with Torsion Effect

Lecture 10 Numerical-IX Stepped Bar with Thermal Effect

Lecture 11 Numerical-X Fluid Flow & Fluid Network

Lecture 12 Numerical-XI Fluid Flow & Fluid Network

Lecture 13 Numerical-XII Heat Transfer Analysis

Lecture 14 Numerical-XIII Spring Cart System Analysis

Lecture 15 Numerical-XIV Spring Cart System Analysis

Lecture 16 Numerical-XV Truss Analysis

Lecture 17 Numerical-XVI Truss Analysis

Lecture 18 Numerical-XVII Beam Element Analysis with udl

Lecture 19 Numerical-XVIII Beam Element Analysis with udl

Lecture 20 Numerical-XIX Beam Element Analysis with uvl

Lecture 21 Numerical-XX Beam Element Analysis with uvl

Section 2: 2D Finite Element Formulations

Lecture 22 Introduction to 2D Finite Element Formulations

Lecture 23 Derivation of Constant Strain Triangle

Lecture 24 Numericals on CST Element

Lecture 25 Rectangular Element with 4 nodes at vertices-Derivation

Lecture 26 Rectangular Element with 4 nodes at vertices-Numerical

Lecture 27 Shape Function in Rectangular Coordinate System-Derivation

Lecture 28 Shape Function in Natural Coordinate System-Derivation

Lecture 29 Shape Function in Natural Coordinate System-Numerical

Lecture 30 Shape Function of Rectangular Element with 4 Nodes at Vertex-Derivation

Lecture 31 Shape Function of Rectangular Element with 4 Nodes at Vertex-Numerical

Lecture 32 Shape Function of Quadrilateral Element with 8 nodes-Derivation

Lecture 33 Shape Function of Quadrilateral Element with 9 nodes-Derivation

Lecture 34 Stress Analysis for CST Element-Derivation

Lecture 35 Stress Analysis for 3 Nodded CST Element-Numerical-I

Lecture 36 Stress Analysis for 3 Nodded CST Element-Numerical-II

Lecture 37 Stress Analysis for 4 Nodded CST Element-Numerical-III

Section 3: Transient Dynamics Problems

Lecture 38 Introduction to Transient Dynamics Problems

Lecture 39 Axial Vibration considering Consistent Mass Matrix

Lecture 40 Transverse Vibration considering Consistent Mass Matrix

Lecture 41 Transverse Vibration considering Lumped Mass Matrix

Lecture 42 Axial Vibration considering Consistent & Lumped Mass Matrix, Exact Method

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