PPT-CHAP 2 Nonlinear Finite Element Analysis Procedures

NamHo Kim 1 Goals What is a nonlinear problem How is a nonlinear problem different from a linear one What types of nonlinearity exist How to understand stresses and strains How to formulate nonlinear problems. Nonlinear Model Problem Let us consider the nonlinear model problem 87228711 f in 8486 1a 0 on 8486 1b where is a given positive function depending on the unknown solution As usual is a given source function which we for simplicity assume not to Page 1 of 6 www.oasys-software.com Footfall Vibration and Finite Element Analysis Introduction The possibility of human footfall loading leading to excessive vibration of structures has long been Nonlinear Finite Element Analysis Procedures. Nam-Ho Kim. 1. Goals. What is a nonlinear problem?. How is a nonlinear problem different from a linear one?. What types of nonlinearity exist?. How to understand stresses and strains. 4 FINITE ELEMENT ANALYSIS OF BEAMS AND FRAMES. 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. 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 . 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. 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. 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. Steel Columns: Experiments and Finite Element Simulation. Farid Abed & Mai Megahed. Department of Civil Engineering. American University of Sharjah. Sharjah, U.A.E.. Outline. Introduction and Background. Abaqus. Instructor. : Nam-Ho Kim (nkim@ufl.edu). Abaqus. Basics. Simulation. Abaqus. /Standard. Output file:. Job.odb, job.dat. Postprocessing. Abaqus. /CAE. Preprocessing. Abaqus. /CAE. Interactive Mode. 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 .