This textbook offers theoretical and practical knowledge of the finite element method. The book equips readers with the skills required to analyze engineering problems using ANSYS®, a commercially available FEA program. Revised and updated, this new edition presents the most current ANSYS® commands and ANSYS® screen shots, as well as modeling steps for each example problem. This self-contained, introductory text minimizes the need for additional reference material by covering both the fundamental topics in finite element methods and advanced topics concerning modeling and analysis. It focuses on the use of ANSYS® through both the Graphics User Interface (GUI) and the ANSYS® Parametric Design Language (APDL). Extensive examples from a range of engineering disciplines are presented in a straightforward, step-by-step fashion. Key topics include: · An introduction to FEM
· Fundamentals and analysis capabilities of ANSYS®
· Fundamentals of discretization and approximation functions
· Modeling techniques and mesh generation in ANSYS®
· Weighted residuals and minimum potential energy
· Development of macro files
· Linear structural analysis
· Heat transfer and moisture diffusion
· Nonlinear structural problems
· Advanced subjects such as submodeling, substructuring, interaction with external files, and modification of ANSYS®-GUI
Electronic supplementary material for using ANSYS® can be found at http://link.springer.com/book/10.1007/978-1-4899-7550-8. This convenient online feature, which includes color figures, screen shots and input files for sample problems, allows for regeneration on the reader’s own computer. Students, researchers, and practitioners alike will find this an essential guide to predicting and simulating the physical behavior of complex engineering systems."
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Preface.- List of Problems Solved.- Introduction: Concept.- Nodes.- Elements.- Direct Approach.- Linear Spring.- Heat Flow.- Assembly of the Global System of Equations.- Solution of the Global System of Equations.- Boundary Conditions.- Fundamentals Of ANSYS®: Useful Definitions.- Before an ANSYS® Session.- Analysis Discipline.- Time Dependence.- Nonlinearity.- Practical Modeling Considerations.- Organization of ANSYS® Software.- ANSYS® Analysis Approach.- ANSYS® Preprocessor.- ANSYS® Solution Processor.- ANSYS® General Postprocessor.- ANSYS® Time History Postprocessor.- ANSYS® File Structure.- Database File.- Log File.- Error File.- Results Files.- Description of ANSYS® Menus and Windows.- Utility Menu.- Main Menu.- Toolbar.- Input Field.- Graphics Window.- Output Window.- Using the ANSYS® Help System.- Help Contents.- Help Index.- Search in Help.- Verification Manual.- Fundamentals of Discretization: Local and Global Numbering.- Approximation Functions.- Coordinate Systems.- Generalized Coordinates.- Global Coordinates.- Local Coordinates.- Natural Coordinates.- Shape Functions.- Linear Line Element with Two Nodes.- Quadratic Line Element with Three Nodes:
Centroidal Coordinate.- Linear Triangular Element with Three Nodes:
Global Coordinate.- Quadratic Triangular Element with Six Nodes.- Linear Quadrilateral Element with Four Nodes: Centroidal Coordinate.- Isoparametric Elements: Curved Boundaries.- Numerical Evaluation of Integrals.- Line Integrals.- Triangular Area Integrals.- Quadrilateral Area Integrals.- Problems.- ANSYS® Preprocessor: Fundamentals of Modeling.- Modeling Operations.- Title.- Elements.- Real Constants.- Material Properties.- Element Attributes.- Interaction with the Graphics Window:
Picking Entities.- Coordinate Systems.- Working Plane.- Solid Modeling.- Bottom-up Approach: Entities.- Top-down Approach: Primitives.- Boolean Operators.- Adding .- Subtracting.- Overlap.- Gluing.- Dividing.- Additional Operations.- Extrusion and Sweeping.- Moving and Copying.- Keeping/Deleting Original Entities.- Listing Entities.- Deleting Entities.- Viewing a Model.- Plotting: Pan, Zoom, and Rotate Functions.- Plotting/Listing Entities.- Numbers in the Graphics Window.- Meshing.- Automatic Meshing.- Manipulation of the Mesh.- Selecting and Components.- Selecting Operations.- Components.- ANSYS® Solution And Postprocessing: Overview.- Solution.- Analysis Options/Solution Controls.- Boundary Conditions.- Initial Conditions.- Body Loads.- Solution in Single and Multiple Load Steps.- Failure to Obtain Solution.- Postprocessing.- General Postprocessor.- Time History Postprocessor.- Read Results.- Plot Results.- Element Tables.- List Results.- Example: One-dimensional Transient Heat Transfer.- Finite Element Equations: Method of Weighted Residuals.-Example: One-dimensional Differential.- Equation with Line Elements.- Example: Two-dimensional Differential.- Equation with Linear Triangular Elements.- Example: Two-dimensional Differential Equation with Linear Quadrilateral Elements.- Principle of Minimum Potential Energy.- Example: One-dimensional Analysis with Line Elements.- Two-dimensional Structural Analysis.- Problems.- Use of Commands in ANSYS®: Basic ANSYS® Commands.- Operators and Functions.- Defining Parameters.- A Typical Input File.- Selecting Operations.-Extracting Information from ANSYS®.- Programming with ANSYS®.- DO Loops.- IF Statements.- /OUTPUT and *VWRITE Commands.- Macro Files.- Useful Resources.- Using the Log File for Programming.- Using the Verification Problems for Programming.- Linear Structural Analysis: Static Analysis.- Trusses.- Beams.- Three-dimensional Problems.- .- Plates and Shells.- Linear Buckling Analysis.- Thermomechanical Analysis.- Fracture Mechanics Analysis.- Dynamic Analysis.- Modal Analysis.- Harmonic Analysis.- Transient Analysis.- Linear Analysis of Field Problems: Heat Transfer Problems.- Steady-state Analysis.- Transient Analysis.- Radiation Analysis.- Moisture Diffusion.- Nonlinear Structural Analysis: Geometric Nonlinearity.- Large Deformation Analysis of a Plate.- Post-buckling Analysis of a Plate with a Hole.- Material Nonlinearity.- Plastic Deformation of an Aluminum Sphere.- Plastic Deformation of an Aluminum Cylinder.- Stress Analysis of a Reinforced Viscoelastic Cylinder.- Viscoplasticity Analysis of a Eutectic Solder Cylinder.- Combined Plasticity and Creep.- Contact.- Contact Analysis of a Block Dropping on a Beam.- Simulation of a Nano-indentation Test.- Advanced Topics In ANSYS®: Coupled Degrees of Freedom.- Constraint Equations.- Submodeling.- Substructuring: Superelements.- Generation Pass.- Use Pass.- Expansion Pass.- Interacting with External Files.- Reading an Input File.- Writing Data to External ASCII Files.- Executing an External File.- Modifying ANSYS® Results.- Modifying the ANSYS® GUI.- GUI Development Demonstration.- GUI Modification for Obtaining a Random Load Profile.- Function Block for Selecting Elements Using a Pick Menu.- References.- Index.
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