1. Outline Lesson 1. Introduction to ANSYS Lesson 2. Basics Lesson 3. Solution phases Lesson 4. Modeling Lesson 5. Material Lesson 6. Loading Lesson 7. Solution Lesson 8. Structural analysis Lesson 9. Postprocessing Lesson 10. Constraint equations Lesson 11. Parameters Lesson 12. Macros Lesson 13. Vibration/dynamic analysis Lesson 14. Thermal

2. References [ANSYS] ANSYS 5.7 Documentation (installed with ANSYS): – Basic Analysis Procedures – Advanced Analysis Techniques – Modeling and Meshing Guide – Structural Analysis Guide – Thermal Analysis Guide – ANSYS Tutorials [Cook] Cook, R. D.; Concepts and applications of finite element analysis, John Wiley & Sons [Burnett] Burnett, D. S.; Finite element analysis: From concepts to application, Addison-Wesley

3. Introduction to Finite Element Analysis What is Finite Element Analysis? Advantages Disadvantages How to avoid pitfalls

4. The FEM is a computer-aided mathematical technique for obtaining approximate numerical solutions to the abstract equations of calculus that predict the response of physical systems subjected to external influences – [Burnett] What is Finite Element Analysis?

6. Divide a continuum with infinitely degrees of freedom in to finite elements with a given number of degrees of freedom An element is geometrical defined by a number of nodes in which the elements are connected. The directions a node can move in is termed degrees of freedom (dof) What is Finite Element Analysis?

7. Most FE systems are displacement based, i.e. an approximate displacement field is established Using a deformation based method yield one unique kinematic determined system to be determined It is assumed that displacements within an element can be interpolated from known nodal values What is Finite Element Analysis?

8. The unknown displacements (can be any field variable, e.g. temperature) {D} = {u1, v1, u2, v2 …} T in the element nodes (nodal values) are determined from What is Finite Element Analysis?

9. The element stiffness matrix for a beam element with 2 nodes and 2 dof at each node [Cook]: What is Finite Element Analysis?

10. Following conditions must always be satisfied – Equilibrium conditions – Compatibility conditions – Constitutive conditions – Boundary conditions Undeformed CompatibleUncompatible Deformed What is Finite Element Analysis?

11. Advantages Irregular Boundaries General Loads Different Materials Boundary Conditions Variable Element Size Easy Modification Dynamics Nonlinear Problems (Geometric and/or Material)

12. Disadvantages An approximate solution An element dependent solution – Shape quality of elements affect the solution, e.g. poorly shaped elements (irregular shapes) reduce accuracy of the FE solution – Element density affect the solution, i.e. the element size should be adjusted to capture gradients Example: plate with a circular hole Errors in input data

13. Basics Launching of ANSYS Preferences Files used by ANSYS ANSYS Menus ANSYS File menu ANSYS PlotCtrls menu Units Undo Hints

14. Launching of ANSYS ANSYS Commands reference ANSYS Element reference.. Basic Analysis Procedures Advanced Analysis Techniques.. Structural Analysis Guide.. ANSYS Tutorials Click on the Start menu at the bottom left corner of the screen. Start ->Programs -> ANSYS Release 5.7 -> ANSYS Classic