PPT-The finite element method- a review

By S ZiaeiRad Mechanical Engineering Department IUT FEM Basic FEATURES T he finite element method has the following three basic features 1 Divide the whole ie domain into parts called . 1 Introduction Objectives In this section you will learn the following Introduction brPage 2br Module 3 Method of Analyses Lecture 15 Finite Element Method Section 151 Introduction INTRODUCTION The finite element method is the representation of MASONARY WALL : . STATE OF THE ART. Submitted by-. BHAWNESH KULDEEP. (. 2010PST120. ). M.Tech. 3. rd. Sem.. Guided by:-. Dr . . Ravindra. Nagar. . (Prof.). Department of Structural . Engg. .. MNIT . Tecgraf. - Computer Graphics Technology Group. Department . of Civil and Environmental Engineering. University of . Illinois . at . Urbana-Champaign. MECOM del Bicentenario. 15 - 18 November 2010 . -. Local search algorithms benefit from derivatives even when they are calculated by finite differences. Often derivatives can be calculated at fraction of cost of finite-difference derivatives. Goal of today’s lecture is to show why this is usually true for static response. Chapter 2. Finite Element Analysis (F.E.A.) of 1-D Problems. Historical Background . Hrenikoff, 1941 – “frame work method” . Courant, 1943 – “piecewise polynomial interpolation” . Turner, 1956 – derived stiffness matrices for truss, beam, etc. BEAMS. Austin Cosby . and . Ernesto Gutierrez-. Miravete. Rensselaer at Hartford. Euler-Bernoulli Beam . Theory. The beam has uniform properties. The beam is slender (L/h is small). The beam obeys Hooke’s Law. Agenda. PART I. Introduction and Basic Concepts. 1.0 Computational Methods. 1.1 Idealization. 1.2 Discretization. 1.3 Solution. 2.0 The Finite Elements Method. 2.1 FEM Notation. 2.2 Element Types. Topics for Term Projects by Teams of 2 Students. Instructor: Tai-Ran Hsu, Professor, Dept. of Mechanical engineering, San Jose State University, San Jose, CA, USA. Two-Tier . p. rojects for students in ME 160 class. AND MODELING. FINITE ELEMENT ANALYSIS AND DESIGN. Nam-Ho Kim. INTRODUCTION. When a physical problem statement is given, how can we model and solve it using FEA?. David Cowan (2007). FINITE ELEMENT PROCEDURE. By . S . Ziaei-Rad. Mechanical Engineering Department, IUT. FEM Basic FEATURES. T. he finite . element method has the following three . basic . features. :. 1. Divide the whole (i.e. domain) into parts, called . Jacob Fish and Zheng Yuan Departments of Civil, Mechanical and Aerospace Engineerinh Rensselaer Polytechnic Institute Troy, NY 12180, USA fishj@rpi.edu Abstract 1. Introduction This manuscript 57 FINITE ELEMENT APPLI CATION TO FEMUR BONE : A REVIEW Journal of Biomedical and Bioengineering ISSN: 0976 - 8084 & E - ISSN: 0976 - 8092, Volume 3, Issue 1, 2012, pp. - 57 - 62. Available online at FINITE . ELEMENT ANALYSIS AND DESIGN. Nam-Ho . Kim. INTRODUCTION. We learned . Direct Stiffness Method. in Chapter 2. Limited to simple elements such as 1D bars. In Chapter 3, . Galerkin. Method. and . FINITE . ELEMENT ANALYSIS AND DESIGN. Nam-Ho . Kim. INTRODUCTION. Direct stiffness method is limited for simple 1D problems. FEM can be applied to many engineering problems that are governed by a differential equation.