# l5 - 16.810 16.810 Engineering Design and Rapid Prototyping...

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16.810 16.810 Engineering Design and Rapid Prototyping Engineering Design and Rapid Prototyping CAE -Finite Element Method Instructor(s) Prof. Olivier de Weck January 11, 2005

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Plan for Today ± Hand Calculations Aero Æ Structures ± FEM Lecture (ca. 45 min) ± FEM fundamental concepts, analysis procedure ± Errors, Mistakes, and Accuracy ± Cosmos Introduction (ca. 30 min) ± Given by TA ± Follow along step-by-step ± Work on CAD and conduct FEA in teams(ca. 90 min) ± Work in teams of two ± First conduct an analysis of your CAD design ± You are free to make modifications to your original model 16.810 (16.682) 2
Course Concept 16.810 (16.682) 3 today

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Course Flow Diagram (2005) 16.810 (16.682) CAD Introduction Design Optimization CAM Manufacturing Training Hand sketching CAD design Optimization Revise CAD design Assembly Parts Fabrication Problem statement Final Review Test Learning/Review Deliverables (A) Hand Sketch (B) Initial Airfoil (D) Final Design (E) Completed Wing (F) Test Data & (C) Initial Design Structural Tunnel Testing optional (G) CDR Package FEM/Solid Mechanics Xfoil Airfoil Analysis FEM/Xfoil analysis Assembly Cost Estimation Design Intro / Sketch & Wind 4
Numerical Method Finite Element Method Boundary Element Method Finite Difference Method Finite Volume Method Meshless Method 16.810 (16.682) 5

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What is the FEM? FEM: Method for numerical solution of field problems. Description - FEM cuts a structure into several elements (pieces of the structure). - Then reconnects elements at “nodes” as if nodes were pins or drops of glue that hold elements together. - This process results in a set of simultaneous algebraic equations. Number of degrees-of-freedom (DOF) Continuum: Infinite FEM: Finite (This is the origin of the name, Finite Element Method) 16.810 (16.682) 6
Fundamental Concepts (1) Many engineering phenomena can be expressed by “governing equations” and “boundary conditions” Elastic problems Governing Equation (Differential equation) Thermal problems L () φ+ f = 0 Fluid flow Electrostatics Boundary Conditions etc.

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## This note was uploaded on 11/08/2011 for the course AERO 16.810 taught by Professor Olivierdeweck during the Winter '07 term at MIT.

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l5 - 16.810 16.810 Engineering Design and Rapid Prototyping...

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