PPT-MECH345 Introduction to Finite Element Methods

Chapter 1 Numerical Methods Introduction Numerical Methods Introduction Numerical Methods Introduction Definition Methods that seek quantitative approximations to the solutions of mathematic . 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 . -. Mechanics Problems. Rafi Muhanna. School of Civil and Environmental Engineering. Georgia Institute of Technology, . Atlanta, GA 30332-0355, . USA. Robert L. Mullen. Department of Civil and Environmental Engineering. 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. Of Composite Layered Structures. Connor Kaufmann. – B. Sc. ‘14. Neola Putnam. – M. Eng. ‘14. Ethan Seo. – M. Eng. ‘14. Ju Hwan (Jay) Shin. 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. 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 . 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 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 . . with. a . Hybridization. of . Finite. . Element-Boundary. . Element. Methods . using. an Adaptive . Absorbing. . Boundary. Condition for Wind Noise Simulation. N. ZERBIB. ESI GROUP, VA . CoE.