List of Problems Solved Introduction p. 1 Concept p. 1 Nodes p. 3 Elements p. 4 Direct Approach p. 5 Linear Spring p. 5 Heat Flow p.

Transcription

1 Preface p. v List of Problems Solved p. xiii Introduction p. 1 Concept p. 1 Nodes p. 3 Elements p. 4 Direct Approach p. 5 Linear Spring p. 5 Heat Flow p. 6 Assembly of the Global System of Equations p. 8 Solution of the Global System of Equations p. 12 Boundary Conditions p. 13 Fundamentals of Ansys p. 15 Useful Definitions p. 15 Before an ANSYS Session p. 16 Analysis Discipline p. 16 Time Dependence p. 18 Nonlinearity p. 18 Practical Modeling Considerations p. 19 Organization of ANSYS Software p. 25 ANSYS Analysis Approach p. 26 ANSYS Preprocessor p. 27 ANSYS Solution Processor p. 27 ANSYS General Postprocessor p. 27 ANSYS Time History Postprocessor p. 27 ANSYS File Structure p. 27 Database File p. 28 Log File p. 28 Error File p. 28 Results Files p. 28 Description of ANSYS Menus and Windows p. 29 Utility Menu p. 30 Main Menu p. 31 Toolbar p. 32 Input Field p. 32 Graphics Window p. 32 Output Window p. 32 Using the ANSYS Help System p. 32 Help Contents p. 33 Help Index p. 33 Search in Help p. 33

2 Verification Manual p. 35 Fundamentals of Discretization p. 37 Local and Global Numbering p. 37 Approximation Functions p. 37 Coordinate Systems p. 43 Generalized Coordinates p. 43 Global Coordinates p. 43 Local Coordinates p. 43 Natural Coordinates p. 43 Shape Functions p. 51 Linear Line Element with Two Nodes p. 54 Quadratic Line Element with Three Nodes: Centroidal Coordinate p. 56 Linear Triangular Element with Three Nodes: Global Coordinate p. 58 Quadratic Triangular Element with Six Nodes p. 59 Linear Quadrilateral Element with Four Nodes: Centroidal Coordinate p. 62 Isoparametric Elements: Curved Boundaries p. 64 Numerical Evaluation of Integrals p. 68 Line Integrals p. 68 Triangular Area Integrals p. 72 Quadrilateral Area Integrals p. 75 Problems p. 78 ANSYS Preprocessor p. 83 Fundamentals of Modeling p. 83 Modeling Operations p. 83 Title p. 84 Elements p. 85 Real Constants p. 89 Material Properties p. 92 Element Attributes p. 96 Interaction with the Graphics Window: Picking Entities p. 96 Coordinate Systems p. 99 Working Plane p. 102 Solid Modeling p. 105 Bottom-up Approach: Entities p. 106 Top-down Approach: Primitives p. 112 Boolean Operators p. 118 Adding p. 118 Subtracting p. 120 Overlap p. 120 Gluing p. 121 Dividing p. 121

3 Additional Operations p. 124 Extrusion and Sweeping p. 124 Moving and Copying p. 128 Keeping/Deleting Original Entities p. 128 Listing Entities p. 130 Deleting Entities p. 130 Viewing a Model p. 131 Plotting: Pan, Zoom, and Rotate Functions p. 131 Plotting/Listing Entities p. 134 Numbers in the Graphics Window p. 134 Meshing p. 134 Automatic Meshing p. 135 Manipulation of the Mesh p. 141 Selecting and Components p. 144 Selecting Operations p. 144 Components p. 148 ANSYS Solution and Postprocessing p. 149 Overview p. 149 Solution p. 150 Analysis Options/Solution Controls p. 150 Boundary Conditions p. 153 Initial Conditions p. 154 Body Loads p. 154 Solution in Single and Multiple Load Steps p. 154 Failure to Obtain Solution p. 158 Postprocessing p. 160 General Postprocessor p. 160 Time History Postprocessor p. 160 Read Results p. 161 Plot Results p. 163 Element Tables p. 167 List Results p. 170 Example: One-dimensional Transient Heat Transfer p. 170 Finite Element Equations p. 187 Method of Weighted Residuals p. 187 Example: One-dimensional Differential Equation with Line Elements p. 189 Example: Two-dimensional Differential Equation with Linear Triangular Elements p. 197 Example: Two-dimensional Differential Equation with Linear Quadrilateral Elements p. 216 Principle of Minimum Potential Energy p. 235 Example: One-dimensional Analysis with Line Elements p. 242 Two-dimensional Structural Analysis p. 248

4 Problems p. 289 Use of Commands in ANSYS p. 297 Basic ANSYS Commands p. 297 Operators and Functions p. 298 Defining Parameters p. 304 A Typical Input File p. 307 Selecting Operations p. 309 Extracting Information from ANSYS p. 314 Programming with ANSYS p. 317 DO Loops p. 317 IF Statements p. 318 /OUTPUT and *VWRITE Commands p. 321 Macro Files p. 322 Useful Resources p. 324 Using the Log File for Programming p. 325 Using the Verification Problems for Programming p. 326 Linear Structural Analysis p. 329 Static Analysis p. 329 Trusses p. 329 Beams p. 337 Three-dimensional Problems p. 342 Two-dimensional Idealizations p. 346 Plates and Shells p. 373 Linear Bucking Analysis p. 403 Thermomechanical Analysis p. 412 Fracture Mechanics Analysis p. 421 Dynamic Analysis p. 433 Modal Analysis p. 434 Harmonic Analysis p. 444 Transient Analysis p. 459 Linear Analysis of Field Problems p. 477 Heat Transfer Problems p. 477 Steady-state Analysis p. 478 Transient Analysis p. 520 Radiation Analysis p. 543 Moisture Diffusion p. 549 Nonlinear Structural Analysis p. 565 Geometric Nonlinearity p. 569 Large Deformation Analysis of a Plate p. 570 Post-buckling Analysis of a Plate with a Hole p. 573 Material Nonlinearity p. 578

5 Plastic Deformation of an Aluminum Sphere p. 579 Plastic Deformation of an Aluminum Cylinder p. 583 Stress Analysis of a Reinforced Viscoelastic Cylinder p. 589 Viscoplasticity Analysis of a Eutectic Solder Cylinder p. 592 Combined Plasticity and Creep p. 599 Contact p. 605 Contact Analysis of a Block Dropping on a Beam p. 607 Simulation of a Nano-indentation Test p. 613 Advanced Topics in ANSYS p. 621 Coupled Degrees of Freedom p. 621 Constraint Equations p. 624 Submodeling p. 629 Substructuring: Superelements p. 636 Generation Pass p. 638 Use Pass p. 644 Expansion Pass p. 646 Interacting with External Files p. 647 Reading an Input File p. 647 Writing Data to External ASCII Files p. 648 Executing an External File p. 652 Modifying ANSYS Results p. 654 Modifying the ANSYS GUI p. 654 GUI Development Demonstration p. 662 GUI Modification for Obtaining a Random Load Profile p. 671 Function Block for Selecting Elements Using a Pick Menu p. 675 References p. 679 Index p. 681 Table of Contents provided by Blackwell's Book Services and R.R. Bowker. Used with permission.