ANSYS Workbench 2023 R2: A Tutorial Approach, 6th Edition
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ANSYS Workbench 2023 R2: A Tutorial Approach textbook introduces the readers to ANSYS Workbench 2023, one of the world's leading, widely distributed, and popular commercial CAE packages. It is used across the globe in various industries such as aerospace, automoti
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ANSYS Workbench 2023 R2 - Prof. Sham Tickoo CADCIM Technologies
Chapter 1: Introduction to FEA
Design VALIDATION TECHNIQUES
Analytical Method
Numerical Method
Experimental Method
Introduction To FEA
General Working of FEA
Types of Element
General Procedure to Conduct Finite Element Analysis
Coordinate Systems
FEA Software
Advantages and Limitations of FEA Software
Key Assumptions in FEA
Assumptions Related to Geometry
Assumptions Related to Material Properties
Assumptions Related to Boundary Conditions
Assumptions Related to Fasteners
Applications of FEA
Automobile Applications
Manufacturing Process Applications
Electromagnetics Applications
Aerospace Applications
Types of Engineering Analyses
Structural Analysis
Thermal Analysis
Fluid Flow Analysis
Electromagnetic Field Analysis
Coupled Field Analysis
Important Terms and definitions
Strength
Load
Stress
Strain
Elastic Limit
Ultimate Strength
Factor of Safety
Lateral Strain
Poisson’s Ratio
Bulk Modulus
Stress Concentration
Bending
Bending Stress
Creep
Classification of Materials
Aspect Ratio
Axisymmetry
Degrees of Freedom (DOF)
Self-Evaluation Test
Review Questions
Chapter 2: Introduction to ANSYS Workbench
Introduction to ANSYS Workbench
System Requirements
Starting ANSYS Workbench 2023 R2
Toolbox Window
Project Schematic Window
Menu Bar
Main and Tab Toolbar
Shortcut Menu
Working on a New Project
Adding a System to a Project
Renaming a System
Deleting a System from a Project
Duplicating a System in a Project
Saving the Current Project
Opening A Project
Archiving the Project Data
Units in ANSYS Workbench
ANSYS Workbench Database and File Formats
Changing the Unit Systems
Components of a System
Engineering Data Cell
Geometry Cell
Model Cell
Mesh Cell
Setup Cell
Solution Cell
Results Cell
States of a cell in an Analysis System
Refreshing and Updating a Project
Adding Second system to a Project
Adding Connectors
Connector/Link Types
Deleting Connectors/Links
Specifying a Geometry for Analysis
Creating a Geometry
Using Help in ansys workbench
ANSYS Workbench Help
Quick Help
Context Sensitive Help
Exiting ANSYS Workbench
Tutorial 1
Self-Evaluation Test
Review Questions
Exercise 1
Chapter 3: Part Modeling - 1
Introduction to Part Modeling
Introduction to DesignModeler window
Sketching Mode
Modeling Mode
Screen components of the DesignModeler Window
Tree Outline
Details View Window
Model View/Print Preview
Ruler
Triad
Status Bar
Tutorial 1
Tutorial 2
Tutorial 3
Self-Evaluation Test
Review Questions
Exercise 1
Exercise 2
Exercise 3
Chapter 4: Part Modeling- II
Introduction to CONCEPT MENU
Concept Menu
Tutorial 1
Tutorial 2
Tutorial 3
Tutorial 4
Self-Evaluation Test
Review Questions
Exercise 1
Chapter 5: Part Modeling- III
Introduction to 3D features
Extrude
Sweep
Skin/Loft
Thin/Surface
Tutorial 1
Tutorial 2
Tutorial 3
Self-Evaluation Test
Review Questions
Exercise 1
Chapter 6: Defining Material Properties
Introduction to engineering data WORKSPACE
Creating and Adding Materials
Creating a New Material in the Outline Window
Tutorial 1
Tutorial 2
Tutorial 3
Self-Evaluation Test
Review Questions
Exercise 1
Chapter 7: Generating Mesh- I
Introduction
Refining the Mesh
The Decision Making to Find Optimum Results
Tutorial 1
Tutorial 2
Tutorial 3
Self-Evaluation Test
Review Questions
Exercise 1
Chapter 8: Generating Mesh - II
Tutorial 1
Tutorial 2
Tutorial 3
Tutorial 4
Self-Evaluation Test
Review Questions
Exercise 1
Chapter 9: Static Structural Analysis
Introduction to static structural Analysis
Linear Static Analysis
Nonlinear Static Analysis
Fatigue Analysis
Mean Stress
Alternating Stress
Endurance Limit
Endurance Strength
Stress-Life Approach
Strain-Life Approach
Buckling Analysis
Points to Remember
General Procedure to Conduct Static Structural Analysis
Pre-Processing
Solution
Post-Processing
Tutorial 1
Tutorial 2
Tutorial 3
Tutorial 4
Self-Evaluation Test
Review Questions
Exercise 1
Exercise 2
Chapter 10: Vibration Analysis
Introduction to VIBRATION analysis
Modal Analysis
Harmonic Analysis
Performing the Modal analysis
Adding Modal Analysis System to ANSYS Workbench
Starting the Mechanical Window
Specifying Analysis Setting
Plotting the Deformed Shape (Mode Shape)
Tutorial 1
Tutorial 2
Tutorial 3
Self-Evaluation Test
Review Questions
Exercise 1
Exercise 2
Chapter 11: Thermal Analysis
Introduction to thermal analysis
Important Terms Used in Thermal Analysis
Heat Transfer Mode
Thermal Gradient
Thermal Flux
Bulk Temperature
Film Coefficient
Emissivity
Stefan-Boltzmann Constant
Thermal Conductivity
Specific Heat
Types of Thermal Analysis
Steady-State Thermal Analysis
Transient Thermal Analysis
Thermal Stress Analysis
Tutorial 1
Tutorial 2
Tutorial 3
Self-Evaluation Test
Review Questions
Exercise 1
ANSYS Workbench 2023 R2:
A Tutorial Approach
(6th Edition)
CADCIM Technologies
525 St. Andrews Drive
Schererville, IN 46375, USA
(www.cadcim.com)
Contributing Author
Sham Tickoo
Professor
Department of Mechanical Engineering Technology
Purdue University Northwest
Hammond, Indiana, USA
ANSYS Workbench 2023 R2: A Tutorial Approach
Sham Tickoo
CADCIM Technologies
525 St Andrews Drive
Schererville, Indiana 46375, USA
www.cadcim.com
Copyright © 2023 by CADCIM Technologies, USA. All rights reserved. Printed in the United States of America except as permitted under the United States Copyright Act of 1976.
No part of this publication may be reproduced or distributed in any form or by any means, or stored in the database or retrieval system without the prior permission of CADCIM Technologies.
ISBN 978-1-64057-233-1
NOTICE TO THE READER
Publisher does not warrant or guarantee any of the products described in the text or perform any independent analysis in connection with any of the product information contained in the text. Publisher does not assume, and expressly disclaims,any obligation to obtain and include information other than that provided to it by the manufacturer.
The reader is expressly warned to consider and adopt all safety precautions that might be indicated by the activities herein and to avoid all potential hazards. By following the instructions contained herein, the reader willingly assumes all risks in connection with such instructions.
The Publisher makes no representation or warranties of any kind, including but not limited to, the warranties of fitness for particular purpose or merchantability, nor are any such representations implied with respect to the material set forth herein, and the publisher takes no responsibility with respect to such material. The publisher shall not be liable for any special, consequential, or exemplary damages resulting, in whole or part, from the reader’s use of, or reliance upon, this material.
www.cadcim.com
DEDICATION
To teachers, who make it possible to disseminate knowledge
to enlighten the young and curious minds
of our future generations
To students, who are dedicated to learning new technologies
and making the world a better place to live in
THANKS
To the faculty and students of the MET department of
Purdue University Northwest for their cooperation
To employees of CADCIM Technologies for their valuable help
Online Training Program Offered by CADCIM Technologies
CADCIM Technologies provides effective and affordable virtual online training on various software packages related Computer Aided Design, Manufacturing and Engineering (CAD/CAM/CAE), computer programming languages, animation, architecture, and GIS. The training is delivered ‘live’ via Internet at any time, any place, and at any pace to individuals and the students of colleges, universities, and CAD/CAM training centers. The main features of this program are:
Training for Students and Companies in a Classroom Setting
Highly experienced instructors and qualified engineers at CADCIM Technologies conduct the classes under the guidance of Prof. Sham Tickoo of Purdue University Northwest, USA. This team has authored several textbooks that are rated one of the best
in their categories and are used in various colleges, universities, and training centers in North America, Europe, and in other parts of the world.
Training for Individuals
CADCIM Technologies with its cost effective and time saving initiative strives to deliver the training in the comfort of your home or work place, thereby relieving you from the hassles of traveling to training centers.
Training Offered on Software Packages
We provide basic and advanced training on the following software packages:
CAD/CAM/CAE: ANSYS Workbench, CATIA, SOLIDWORKS, Autodesk Inventor, Solid Edge, Siemens NX, Creo Parametric, Creo Direct, Autodesk Fusion 360, SOLIDWORKSSimulation, AutoCAD, AutoCAD LT, Customizing AutoCAD, EdgeCAM, and AutoCAD Plant 3D
Computer Programming: C++, VB.NET, Oracle, AJAX, and Java
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For more information, please visit the following link: https://www.cadcim.com
Note
If you are a faculty member, you can register by clicking on the following link to access the teaching resources: https://www.cadcim.com/Registration.aspx. The student resources are available at https://www.cadcim.com. We also provide Live Virtual Online Training on various software packages. For more information, write us at sales@cadcim.com.
Preface
ANSYS Workbench 2023 R2
ANSYS, a product of ANSYS Inc., is a world’s leading, widely distributed, and popular commercial CAE package. It is widely used by designers/analysts in industries such as aerospace, automotive, manufacturing, nuclear, electronics, biomedical, and many more. ANSYS provides simulation solution that enables designers to simulate design performance directly on the desktop. In this way, it provides fast, efficient, and cost-effective product developement from design concept stage to performance validation stage of the product developement cycle. It helps accelerate and streamline the product developement process by helping designers toresolve issues related to structural , thermal, fluid, flow, electrimagnetic effects, a combination of these phenomena acting together, and so on.
ANSYS Workbench 2023 R2: A Tutorial Approach textbook has been written with the intention to assist engineering and practicing designers who are new to the field of FEM. The textbook covers the basis of FEA concepts, modeling, and the analysis of engineering problems using ANSYS Workbench. In addition, the description of the latest tools introduced, the enhancement, and new tutorials based on new and enhanced tools are provided so that the users learn and understand their usage properly and effectively. This textbook covers the following simulation streams of ANSYS:
1. Structural Analysis
Static Structural Analysis
Vibration Analysis
2.Thermal Analysis
Steady State Thermal Analysis
Transient Thermal Analysis
Thermal Stress Analysis
The main features of the textbook are as follows:
•Tutorial Approach
The author has adopted the tutorial point-of-view and learn-by-doing approach throughout the textbook. This approach helps the users learn the concepts faster and apply them effectively and efficiently. Sufficient theoretical explanation has been provided during the tutorial whenever required.
• Real-World Projects as Tutorials
The author has used about 30 real-world mechanical engineering projects as tutorials in this book. This will enable the readers to relate the tutorials to the real-world models in the mechanical engineering industry. In addition, there are about 15 exercises based on the real-world mechanical engineering projects.
• Tips and Notes
The additional information related to various topics is provided to the users in the form of tips and notes.
• Learning Objectives
The first page of every chapter summarizes the topics that are covered in that chapter.
• Self-Evaluation Test, Review Questions, and Exercises
Every chapter ends with Self-Evaluation Test so that the users can assess their knowledge of the chapter. The answers to Self-Evaluation Test are given at the end of the chapter. Also, Review Questions and Exercises are given at the end of the chapters and they can be used by instructors as test questions and exercises.
Symbols Used in the Textbook
Note
The author has provided additional information to the users about the topic being discussed in the form of notes.
Tip
Special information and techniques are provided in the form of tips that will increase the efficiency of the users.
Formatting Conventions Used in the Textbook
Refer to the following list for the formatting conventions used in this textbook.
Naming Conventions Used in the Textbook
Tool
If a command is invoked on clicking an item, then that item is termed as tool.
For example:
To Create: Line tool, General tool, Extrude tool, Pattern tool, and so on.
To Generate: General tool, Horizontal tool, Vertical tool, and so on.
To Edit: Fillet tool, Extend tool, Replicate tool, and so on.
Action: Rotate tool, Pan tool, Box Zoom tool.
If on clicking an item, corresponding Details View window is displayed just below the Tree Outline, wherein you can set the parameters to create/edit an object, then that item is also termed as tool, refer to Figure 1.
For example:
To Create: Revolve tool, Skin/Loft tool
To Edit: Slice tool, Chamfer tool
Button
The item in a dialog box that has a 3d shape like a button is termed as Button. For example, OK button, Cancel button, Apply button, and so on.
Drop-down
A drop-down is the one in which a set of common tools are grouped together. You can identify a drop-down with a down arrow on it. These drop-downs are given a name based on the tools grouped in them. For example, Blend drop-down, Mesh drop-down, Mesh Control drop-down, Support drop-down, and so on; refer to Figure 2.
Drop-down List
A drop-down list is the one in which a set of options are grouped together. You can set values for various parameters using these options. You can identify a drop-down list with a down arrow on it. For example, Extents drop-down list, Color Override drop-down list, and so on; refer to Figure 3.
Options
Options are the items that are available in shortcut menu, Marking Menu, drop-down list, dialog boxes, and so on. For example, choose the Select All option from the shortcut menu displayed on right-clicking in the Graphics screen; choose the Concrete option from the Assignment flyout; choose the Front option from the Orientation area, refer to Figure 4.
Selection Box
Many operations in ANSYS Workbench require you to select entities in the graphics screen or from the Outline pane. After you select the entities/features, you need to confirm the selection in the selection box. For example, if you want to extrude a sketch, you need to select the sketch and then confirm the selection in the selection box. A typical Geometry selection box is shown in Figure 5.
Free Companion Website
It has been our constant endeavor to provide you the best textbooks and services at affordable prices. The free Companion website provides access to all the teaching and learning resources that are required during the course of this textbook. If you purchase this textbook, you can access the resources on the Companion website.
The following resources are available for the faculty and students in this website:
Faculty Resources
• Technical Support
You can get online technical support by contacting [email protected].
• Instructor Guide
Solutions to all review questions and exercises in the textbook are provided in this guide to help the faculty members test the skills of the students.
• Input Files
The input hies used in exercises are available for free download.
Student Resources
• Technical Support
You can get online technical support by contacting [email protected].
• Part Files
The part files used in illustrations and examples are available for free download.
Note that you can access the faculty resources only if you are registered as faculty at www.cadcim.com/Registration.aspx
If you face any problem in accessing these files, please contact the publisher at sales@cadcim.com or the author at [email protected] or [email protected].
Video Courses
CADCIM offers video courses in CAD, CAE Simulation, BIM, Civil/GIS, and Animation domains on various e-Learning/Video platforms. To enroll for the video courses, please visit the CADCIM website using the link https://www.cadcim.com/video-courses.
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Chapter 1
Introduction to FEA
Learning Objectives
After completing this chapter, you will be able to:
• Understand the different design validation techniques
• Understand the basic concepts and general working of FEA
• Understand the types of elements
• Understand the advantages, limitations, and applications of FEA
• Understand the types of analysis
• Understand important terms and definitions in FEA
DESIGN VALIDATION TECHNIQUES
Design validation of a component refers to the sustainability of that component under various loading conditions. In other words, design validation is a process to find the results such as stress, displacement, strain, fatigue life, eigenvalues, heat flux, and so on which leads failure of a component.
There are three methods to validate any design:
1. Analytical method
2. Numerical method
3. Experimental method
All these methods are discussed next:
1. Analytical Method
An analytical method is a classical approach that involves solution techniques based on formulas and theorems such as bending theory, torsion theory, failure theories, and so on. This is a widely used method in curriculum research. It is a closed-form solution method that gives 100 % accurate results. Most of the time, solutions have been obtained for very trivial problems such as cantilever and simply supported beams. This method is mainly applicable only for isotropic materials such as glass and metals.
2. Numerical Method
The numerical method is used to determine a numerical solution by satisfying the governing equations and boundary conditions for the most complex engineering problems. In this method, real-life complex problems can be modeled mathematically. However, several assumptions need to be considered while simulating the problems. Therefore, this method always provides the approximate results to the given problem. This method does not require physical prototypes or models to calculate the response of the models. The numerical method can handle the problem with anisotropic materials such as woods and composites. There are numerous numerical methods available such as Finite Element Method (FEM), Finite Volume Method (FVM), Boundary Element Method (BEM), Finite Difference Method (FDM), and so on. Now a days, these numerical methods can be referred to as computational methods where mathematical models can be written in software codes.
3. Experimental Method
In the experimental method, the model is tested physically and actual measurements are carried out in real-time operating conditions. This method is highly reliable and hence used in product prototype testing in the industry. It is possible to accommodate all types of physical and manufacturing errors such as surface finish, surface heat treatment, alloying elements, decarburizing, actual welding pattern, and so on in the testing. In order to carry out physical real-time testing, a prototype of the product must be available. For reliable outcomes, 3 to 5 prototypes must be required to test. This iterative process of testing makes the experimental method more time-consuming and requires an expensive experimental setup. There are various types of equipments are available such as strain gauges, photoelasticity measuring setup, vibrometers, fatigue test sensors for temperature & pressure measurements, and so on.
The fundamental concepts of Finite Element Method (FEM) also referred as Finite Element Analysis (FEA), which is from numerical method category, have been described next.
INTRODUCTION TO FEA
The Finite element analysis (FEA) is a computing technique that is used to obtain approximate solutions to maximum engineering boundary value problems. It uses a numerical method called finite element method (FEM). FEA involves the computer model of a design that is loaded and analyzed for specific results, such as stress, deformation, deflection, natural frequencies, mode shapes, temperature distributions, and so on.
The concept of FEA can be explained through a basic example involving measurement of the perimeter of a circle. To measure the perimeter of a circle without using the conventional formula, divide the circle into equal segments, as shown in Figure 1-1. Next, join the start point and the endpoint of each of these segments by a straight line. Now, you can measure the length of straight line very easily, and thus, the perimeter of the circle by adding the length of these straight lines.
If you divide the circle into four segments only, you will not get accurate results. For accuracy, divide the circle into more number of segments. However, with more segments, the time required for getting the accurate result will also increase. The same concept can be applied to FEA also, and therefore, there is always a compromise between accuracy and speed while using this method. This compromise between accuracy and speed makes it an approximate method.
The FEA was first developed to be used in the aerospace and nuclear industries, where the safety of structures is critical. Today, even the simplest of products rely on FEA for design evaluation.
The term Finite Element Method has been described next.
Finite
All real-life objects have infinite degrees of freedom and thus solving infinite degrees of freedom problems is very difficult. The Finite Element Method (FEM) reduces the infinite degrees of freedom of a continuous domain into the finite discrete domain with the help of the meshing technique.
Element
In the finite element analysis, all unknowns are calculated on their values at the limited number of points. These points are called nodes. The entity connecting nodes and forming a particular shape such as quadrilateral, triangular, tetrahedral, hexahedral, and so on is known as an element. This particular shape of an element is used to define the unknown field variables that predict the individual element response to applied loads. The assembly of the responses of all elements in a domain determines the total response of the complete domain. To calculate the value of a field variable (say displacement) at any point other than nodes, an interpolation function is used. This interpolation function is called shape function and the value of this interpolation function may vary with the predefined shapes of the element.
Method
There are three methods to solve any engineering problem. Finite element analysis belongs to the numerical method category.
General Working of FEA
A better knowledge of FEA helps in building more accurate models. Also, it helps in understanding the back-end working of ANSYS. Here, a simple model is discussed to give you a brief overview of the working of FEA.
Figure 1-2 shows a spring assembly that represents a simple two-spring element model. In this model, two springs are connected in series and one of the springs is fixed at the left most endpoint, refer to Figure 1-2. In this figure, the stiffness of the springs has been represented by the spring constants K1 and K2. The movement of endpoints of each spring is restricted to the X direction only. The change in position from the undeformed state of each endpoint can be defined by the variables X1 and X2. The two forces acting on the end points of the springs are represented by F1 and F2.
To develop a model that can predict the state of this spring assembly, you can use the linear spring equation given below:
F = KX
where,
F = force applied,
X = displacement, and
K = spring constant
If you use the spring parameters defined above and assume a state of equilibrium, the following equations can be written for the state of each endpoint:
F1 - X1K1 + (X2 - X1)K2 = 0
F2 - (X2 - X1)K2 = 0
Therefore,
F1 = (K1 + K2)X1 + (-K2)X2
F2 = (-K2)X1 + K2X2
If the set of equation is written in matrix form, it will be represented as follows:
In the above mathematical model, if the spring constants (K1 and K2) are known and the deformed shapes (X1 and X2) are defined, then the resulting forces (F1 and F2) can be determined. Alternatively, if the spring constants (K1 and K2) are known and the forces (F1 and F2) are defined, then the resulting deformed shape (X1 and X2) can be determined.
Various terminologies that are used in the previous example are discussed next.
Stiffness Matrix
In the previous equation, the following part represents the stiffness matrix (K):
This matrix is relatively simple because it comprises only one pair of springs, but it turns complex when the number of springs increases.
Degree of Freedom
Degree of freedom is defined as the least number of independent coordinates required to define the configuration of a system in space. In the previous example, you are only concerned with the displacement and forces. By making one endpoint fixed, you will restrict all degrees of freedom for that particular node. Which means that, there will be no translational or rotational degrees of freedom for that node. But, there are two nodes still have some degrees of freedom. As these two nodes are allowed to translate along the X axis only, they have 1 degree of freedom each considering that no rotational degree of freedom exist in them. The number of the degrees of freedom on free nodes in a model determines the number of equations required to solve a mathematical model.
Boundary Conditions
The boundary conditions are used to eliminate the unknowns in the system. A set of equations that is solvable is meaningless without the input. In the previous example, the boundary condition X0 = 0, and the input forces are F1 and F2. In either ways, the displacements could have been specified in place of forces as boundary conditions and the mathematical model could have been solved for the forces. In other words, the boundary conditions help you reduce or eliminate the unknowns in the system.
Note
The solutions generated by using FEA are always approximate.
Types of Element
Before proceeding further, you must be familiar with the concepts of element shapes which are the building blocks of FEA. These concepts are discussed next.
Element is an entity into which the system under study is divided. An element shape is specified by nodes. The shape (area, length, and volume) of an element depends on the nodes with which it is made. Based on the shapes elements can be classified as below.
Line/(1D) Element
A line element, also called 1D element, has the shape of a line or a curve. Therefore, a minimum of two nodes are required to define it. There can be higher order elements that have additional nodes (at the middle of the edge of an element). An element that does not have a node in between its edges is called a linear element. The elements that have nodes in between edges are called quadratic or second order elements. Figure 1-3 shows some line elements. There are some practical applications such as beams, columns, long shafts, trusses, connection elements, and so on that can be modeled in a 1-D element. The change in material properties along the cross-section of a model is assumed to be negligible.
Surface/(2D) Element
A surface or 2D element has the shape of a triangle or a quadrilateral; therefore, it requires a minimum of three or four nodes to define it. These surface elements are also called as shell elements. Some surface elements are shown in Figure 1-4. There are some practical applications such as sheet metal parts, sheet metal cabinets, engine pallets, and so on that can be modeled in 2-D elements. The change in material properties along the thickness is assumed to be negligible.
Volume/(3D) Element
A volume element has the shape of a hexahedron (8 nodes), a wedge (6 nodes), a tetrahedron (4 nodes), or a pyramid (5 nodes). Some of the volume elements are shown in Figure 1-5. These volume elements are also called solid elements. There are some applications such as gearbox, engine cylinder block, crankshaft, and so on that can be modeled in 3-D elements.
General Procedure to Conduct Finite Element Analysis
To conduct the finite element analysis, you need to follow certain steps that are given next.
1. Set the type of analysis to be used.
2. Create model.
3. Define the element type.
4. Divide the given geometry into nodes and elements (mesh the model).
5. Apply material properties and boundary conditions.
6. Derive element matrices and equations.
7. Assemble element equations.
8. Solve the unknown parameters at nodes.
9. Interpret the results.
The general process of FEA by using software is dividedinto three main phases: preprocessing, solution, and postprocessing, refer to Figure 1-6.
Preprocessor
The preprocessor is a phase that processes input data to produce output, which is used as input in the subsequent phase (solution). Following are the input data that need to be given to the preprocessor:
1. Type of analysis (structural or thermal, static or dynamic, and linear or nonlinear).
2. Element type.
3. Real constants for elements (Cross-sectional area, Moment of Inertia, Shell thickness, and so on).
4. Material Model (Homogeneous, Isotropic, and Anisotropic) and Material properties (Young’s Modulus, Poisson’s ratio, Spring Constant, Thermal Conductivity, Coefficient of Thermal Expansion, and so on).
5. Geometric model (either created in the FEA software or imported from other CAD packages).
6. FEA model (discretizing the geometric model into small elements).
7. Loading and boundary conditions (defining loads, pressures, moments, temperature, conductivity, convection, constraints (fixed, pinned, or frictionless/symmetrical), and so on.
The input data are preprocessed for the output data and the preprocessor generates the data files automatically with the help of users. These data files are used in the subsequent phase (solution), refer to Figure 1-6.
Solution
The solution phase is completely automatic. The FEA software generates element matrices, computes nodal values and derivatives, and stores the result data in files. These files are further used in the subsequent phase (postprocessor) to review and analyze the results through the graphic display and tabular listings, refer to Figure 1-6.
Postprocessor
The output from the solution phase (result data files) is in the numerical form and consists of nodal values of the field variable and its derivatives. For example, in structural analysis, the output of the postprocessor is nodal displacement and stress in elements. The postprocessor processes the result data and displays them in graphical form to check or analyze the result. The graphical output gives the detailed information about the required result data. The postprocessor phase is automatic and generates graphical output in the specified form, refer to Figure 1-6.
Coordinate Systems
There are three types of commonly used coordinate systems and they are discussed next.
Global Coordinate System
The global coordinate system is used to define the coordinates of points with respect to the single coordinate system in the entire domain under consideration. It is also referred to as Cartesian Coordinate System.
Local Coordinate System
The local coordinate system is used to define elements with respect to the individual coordinate system. Every single element has its own coordinate system and all the corresponding nodes of the element are specified by using the respective local coordinate system.
Natural Coordinate System
The natural coordinate system is used to define the point within the element by a set of dimensionless numbers, whose magnitude varies from -1 to +1. Natural coordinates are defined with respect to the element rather than with reference to the global coordinates. Also, they are dimensionless quantities.
FEA SOFTWARE
There are a variety of commercial FEA software packages available in the market. Every CAE software provides various modules for various analysis requirements. Depending on your requirement, you can select a required module for your analysis. Some firms use one or more CAE software and others develop customized version of commercial software to meet their requirements.
Since 1970s, some well-known commercial FE codes, such as ANSYS, NASTRAN, MARC, ABAQUS, LSDYNA, COMSOL, Radioss, and OptiStruct have been developed to solve the structural problems. Among them, ANSYS software has the most powerful nonlinear solver, and hence it has become the most widely used software in both academia and industry.
Advantages and Limitations of FEA Software
Following are some of the advantages and limitations of FEA software:
Advantages
1. It reduces the amount of prototype testing, thereby saving the cost and time.
2. It gives the graphical representation of the result of analysis.
3. The finite element modeling and analysis are performed in the preprocessor and solution phases, which if done manually would consume a lot of time and in some cases, might be impossible to perform.
4. Variables such as stress and temperature can be measured at any desired point of the model.
5. It helps optimize a design.
6. It is used to simulate the designs that are not suitable for prototype testing.
7. It helps you create more reliable, high quality, and competitive designs.
Limitations
1. It does not provide exact solutions.
2. FEA packages are costly.
3. An inexperienced user can deliver incorrect answers, upon which expensive decisions will be based.
4. Results give solutions but not remedies.
5. Features such as bolts, welded joints, and so on cannot be accommodated to a model. This may lead to approximation and errors in the result.
6. For more accurate results, more hard disk space, RAM, and time are required.
KEY ASSUMPTIONS IN FEA
There are four types of key assumptions that must be considered while performing the finite element analysis. These assumptions are not comprehensive but cover a wide variety of situations applicable to the problem. Moreover, by no means do all the following assumptions apply to all situations. Therefore, you need to consider only those assumptions that are applicable for your analysis problem.
Assumptions Related to Geometry
1. Displacement values will be small so that a linear solution is valid.
2. Stress behavior outside the area of interest is not important. Therefore, geometric simplifications in those areas do not affect the outcome.
3. Only internal fillets in the area of interest will be included in the solution.
4. Local behavior at the corners, joints, and intersection of geometries is of primary interest, therefore, no special modeling of these areas is required.
5. Decorative external features will be assumed insignificant for the stiffness and performance of the part and these external features will be omitted from the model.
6. Variation in the mass due to suppressed features is negligible.
Assumptions Related to Material Properties
1. Material properties will remain in the linear region and the nonlinear behavior of the material property cannot be accepted.
2. Material properties are not affected by the load rate.
3. The component is free from surface imperfections that can produce stress concentration.
4. All simulations will assume room temperature, unless otherwise specified.
5. The effects of relative humidity or water absorption on the material used will be neglected.
6. No compensation will be made to account for the effect of chemicals, corrosives, wears, or other factors that may have an impact on the long term structural integrity.
Assumptions Related to Boundary Conditions
1. Displacements will be small so that the magnitude, orientation, and distribution of the load remains constant throughout the process of deformation.
2. Frictional loss in the system is considered to be negligible.
3. All interfacing components will be assumed rigid.
4. The portion of the structure being studied is assumed as a separate part from the rest of the system, so that any reaction or input from adjacent features is neglected.
Assumptions Related to Fasteners
1. Residual stresses due to fabrication, pre loading on bolts, welding, or other manufacturing or assembly processes will be neglected.
2. All welds between components will be considered as ideal and continuous.
3. The failure of fasteners will not be considered.
4. The load on the threaded portion of the part is supposed to be