a first corse in finite element analysis

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a first corse in finite element analysis

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[...]... 11.31 Creating and Submitting an Analysis Job Viewing the Analysis Results Solving the Problem Using Quadrilaterals Refining the Mesh 11.13.1 Bending of a Short Cantilever Beam Copying the Model Modifying the Material Definition Configuring the Analysis Applying a Boundary Condition and a Load to the Model Meshing the Model Creating and Submitting an Analysis Job Viewing the Analysis Results 11.20.1 Plate... linear algebraic equations This text is limited to linear finite element analysis (FEA) The preponderance of finite element analyses in engineering design is today still linear FEM In heat conduction, linearity requires that the conductance be independent of temperature In stress analysis, linear FEM is applicable only if the material behavior is linear elastic and the displacements are small These assumptions... assumptions are discussed in more depth later in the book In stress analysis, for most analyses of operational loads, linear analysis is adequate as it is usually undesirable to have operational loads that can lead to nonlinear material behavior or large displacements For the simulation of extreme loads, such as crash loads and drop tests of electronic components, nonlinear analysis is required The FEM was... two databases causes substantial headaches and is one of the major bottlenecks in computerized analysis today, as often the two are not compatible The availability of a wide range of analysis capabilities in one program makes possible analyses of many complex real-life problems For example, the flow around a car and through the engine compartment can be obtained by a fluid solver, called computational fluid... cities and high-rise buildings; c crash analysis of cars, trains and aircraft; d fluid flow analysis of coolant ponds, pollutants and contaminants, and air in ventilation systems; e electromagnetic analysis of antennas, transistors and aircraft signatures; f analysis of surgical procedures such as plastic surgery, jaw reconstruction, correction of scoliosis and many others This is a very short list that... MATLAB programs for finite element analysis We have chosen to use a web chapter for this material to provide an option for updating this material as MATLAB and the programs change We invite readers who develop other finite element programs in MATLAB to contact the first author (Jacob Fish) about including their programs We have also created a blog where students and instructors can exchange ideas and place... groups and industrial laboratories and proved instrumental in demonstrating the power and versatility of finite elements to many users Then in 1965, NASA funded a project to develop a general-purpose finite element program by a group in California led by Dick MacNeal This program, which came to be known as NASTRAN, included a large array of capabilities, such as two- and three-dimensional stress analyses,... Viewing the Analysis Results 11.20.1 Plate with a Hole in Tension Creating a New Model Creating a Part Creating a Material Definition Defining and Assigning Section Properties Assembling the Model Configuring the Analysis Applying a Boundary Condition and a Load to the Model Meshing the Model Creating and Submitting an Analysis Job Viewing the Analysis Results Refining the Mesh ix 284 284 284 285 287 287 287... such as banking, landing, takeoff and so on, to determine the stresses in the airframe Almost all of these are linear analyses; only determining the ultimate load capacity of an airframe requires a nonlinear analysis It is interesting that in the 1980s a famous professor predicted that by 1990 wind tunnels would be used only to store computer output He was wrong on two counts: Printed computer output almost... applications The finite element database interfaces with the CAD database and is often generated from the CAD database Unfortunately, in today’s environment, the two are substantially different Therefore, finite element systems contain translators, which generate finite element meshes from CAD databases; they can also generate finite element meshes from digitizations of surface data The need for two databases . elastic and the displacements are small. These assumptions are discussed in more depth later in the book. In stress analysis, for most analyses of operational loads, linear analysis is adequate as. linear FEM. In heat conduction, linearity requires that the conductance be independent of temperature. In stress analysis, linear FEM is applicable only if the material behavior is linear elastic. Creating and Submitting an Analysis Job 290 11.20 Viewing the Analysis Results 290 11.20.1 Plate with a Hole in Tension 290 11.21 Creating a New Model 292 11.22 Creating a Part 292 11.23 Creating

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  • A First Course in Finite Elements

    • Contents

    • Preface

    • 1 Introduction

      • 1.1 Background

      • 1.2 Applications of Finite elements

      • References

      • 2 Direct Approach for Discrete Systems

        • 2.1 Describing the Behavior of a Single Bar Element

        • 2.2 Equations for a System

          • 2.2.1 Equations for Assembly

          • 2.2.2 Boundary Conditions and System Solution

          • 2.3 Applications to Other Linear Systems

          • 2.4 Two-Dimensional Truss Systems

          • 2.5 Transformation Law

          • 2.6 Three-Dimensional Truss Systems

          • References

          • Problems

          • 3 Strong and Weak Forms for One-Dimensional Problems

            • 3.1 The Strong Form in One-Dimensional Problems

              • 3.1.1 The Strong Form for an Axially Loaded Elastic Bar

              • 3.1.2 The Strong Form for Heat Conduction in One Dimension

              • 3.1.3 Diffusion in One Dimension

              • 3.2 The Weak Form in One Dimension

              • 3.3 Continuity

              • 3.4 The Equivalence Between the Weak and Strong Forms

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