tailieunhanh - Fundamentals of FEA analysis: Introduction

History of FEA, brief introduction to difference numerical method, design process, advantages of CAE, is FEA a replacement for costly & time consuming testing,. As the main contents of the lecture "Fundamentals of FEA analysis: Introduction". Each of your content and references for additional lectures will serve the needs of learning and research. | 1 Altair HyperWorks Fundamentals of FEA analysis INTRODUCTION Jan 2015 Created by Le Hoai Thanh Altair Copyright 2015 Altair Engineering Inc. Proprietary and Confidential. All rights reserved. History of FEA s Altair 1906 - Cilvil Engineering Application Structural analysed by 1-D beam 1909 - Variational Method 1915 - Galerkin Weighted residuals 1940s - Courant Prager Mathematical foundation for present form of FEA 1950s - Argyris Kelsey Direct continuum elements aerospace industrial engineers formulated stiffness equation 100 dof problem was supposed to be very large at that time. 1960 - Clough coined the name FINITE ELEMENT METHOD Late 1960s - Mechanical industry recoginized FEM as useful tool for solve real life problems. Many of the present popular FEA software were launched in the market 1980s - Graphical computational development 1990s - Emergence of low cost powerful PC workstation and FEA adopted by mid and small scale industries. Year 1961 1966 1971 1976 1986 2006 Papers 10 134 844 7000 20 000 infinite 2 Copyright 2015 Altair Engineering Inc. Proprietary and Confidential. All rights reserved. FEA analysis Altair Methods to solve any engineering problems Analytical Methods Numerical Methods Experimental Methods Classical Approach Mathematical representation Actual Measurements 100 Accurate Approximate Assumptions Approximate Applicable for ONLY simple problems Real Life Complicated problems Time Consuming need Expense Set up Complete in itself Results must be verified by either hand calculations or by Exp. Method Results can not be believed blindly Min 3 5 prototypes must be tested