Finite Element Analysis Basics – Part 1/2 Johannes Steinschaden 2005 February, 1

Introduction Idealization of the problem into a mathematical model Analyze only the mathematical model Select an appropriate mathematical model Cannot predict the response of the model exactly Impossible to formulate a model that will represent all the information contained in an actual system Mechatronik = Kunstwort aus Mechanik und Elektronik und Informatik 2005 February, 1

General role Start with a simple model Solve the mathematical model Interpret the results Refine the model … 2005 February, 1

Idealization Linear static analysis Small deflections Deflections vary only slowly Time as a variable is omitted Linear elastic deformations Isotropic material Loads are attached to the undeformed model Cross sections are perpendicular to the midline 2005 February, 1

2005 February, 1

2005 February, 1

Element Types One-dimensional Truss Beam Two-dimensional Plane stress Plane strain Ax symmetric solid Thin shell Three-dimensional Solid Other Constrained element Lumped mass Gap Rigid Spring 2005 February, 1

Finite Element Analysis Procedure Preliminary analysis of the system: Perform an approximate calculation to gain some insights about the system Preparation of the finite element model: a Geometric and material information of the system b Prescribe how is the system supported c Determine how the loads are applied to the system Perform the calculation: Solve the system equations and compute displacements, strains and stresses Post-processing of the results: Viewing the stresses and displacements Interpret the results 2005 February, 1

Thank you! 2005 February, 1