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

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Udemy
platform
English
language
Engineering
category
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Basics of Finite Element Analysis Part-II
58
students
9.5 hours
content
Sep 2021
last update
$49.99
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What you will learn

Basics of Finite Element Analysis

Direct Applications of Element Matrix Equation

2D Finite Element Formulations

Transient Dynamics Problems

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.

Content

Direct Applications of Element Matrix Equation

Introduction
Numerical-I Stepped Bar Analysis
Numerical-II Stepped Bar Analysis
Numerical-III Stepped Bar Analysis
Numerical-IV Stepped Bar Analysis
Numerical-V Stepped Bar Analysis
Numerical-VI Horizontal Tapered Bar Analysis
Numerical-VII Vertical Tapered Bar Analysis
Numerical-VIII Stepped Bar with Torsion Effect
Numerical-IX Stepped Bar with Thermal Effect
Numerical-X Fluid Flow & Fluid Network
Numerical-XI Fluid Flow & Fluid Network
Numerical-XII Heat Transfer Analysis
Numerical-XIII Spring Cart System Analysis
Numerical-XIV Spring Cart System Analysis
Numerical-XV Truss Analysis
Numerical-XVI Truss Analysis
Numerical-XVII Beam Element Analysis with udl
Numerical-XVIII Beam Element Analysis with udl
Numerical-XIX Beam Element Analysis with uvl
Numerical-XX Beam Element Analysis with uvl

2D Finite Element Formulations

Introduction to 2D Finite Element Formulations
Derivation of Constant Strain Triangle
Numericals on CST Element
Rectangular Element with 4 nodes at vertices-Derivation
Rectangular Element with 4 nodes at vertices-Numerical
Shape Function in Rectangular Coordinate System-Derivation
Shape Function in Natural Coordinate System-Derivation
Shape Function in Natural Coordinate System-Numerical
Shape Function of Rectangular Element with 4 Nodes at Vertex-Derivation
Shape Function of Rectangular Element with 4 Nodes at Vertex-Numerical
Shape Function of Quadrilateral Element with 8 nodes-Derivation
Shape Function of Quadrilateral Element with 9 nodes-Derivation
Stress Analysis for CST Element-Derivation
Stress Analysis for 3 Nodded CST Element-Numerical-I
Stress Analysis for 3 Nodded CST Element-Numerical-II
Stress Analysis for 4 Nodded CST Element-Numerical-III

Transient Dynamics Problems

Introduction to Transient Dynamics Problems
Axial Vibration considering Consistent Mass Matrix
Transverse Vibration considering Consistent Mass Matrix
Transverse Vibration considering Lumped Mass Matrix
Axial Vibration considering Consistent & Lumped Mass Matrix, Exact Method

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3968928
udemy ID
4/8/2021
course created date
10/1/2021
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