A Practical Guide to Reliable Finite Element Modelling
1. Auflage Januar 2008
380 Seiten, Hardcover
Wiley & Sons Ltd
Kurzbeschreibung
The finite element method is used to estimate and assess the behavior of structures before their effective realization. A Reliable Guide to Finite Element Modelling is a comprehensive and practical guide to assist engineers and companies reduce the possibility of errors when undertaking finite element analyses. Outlining a series of consistent methods, the authors clear a path for reducing errors and achieving quality controlled analysis, permitting reliable, repeatable results. Systematic coverage includes an introduction to finite element analysis and the use of computers, plus chapters on building linear-static and linear-dynamic finite element models, error sources, error control and error control led analyses.
Many books have been written about the finite element method; little however has been written about procedures that assist a practicing engineer in undertaking an analysis in such a way that errors and uncertainties can be controlled. In A Practical Guide to Reliable Finite Element Modelling, Morris addresses this important area. His book begins by introducing the reader to finite element analysis (FEA), covering the fundamental principles of the method, whilst also outlining the potential problems involved. He then establishes consistent methods for carrying out analyses and obtaining accurate and reliable results, concluding with a new method for undertaking error control led analyses.
The book addresses a number of topics that:
Systematically cover an introduction to FEA, how computers build linear-static and linear-dynamic finite element models, the identification of error sources, error control methods and error-control led analyses.
Enable the reader to support the design of complex structures with reliable, repeatable analyses using the finite element method.
Provide a basis for establishing good practice, thereby providing a legal grounding for the structural reliability of a product.
Demonstrate the method with a final case study involving two illustrative problems.
A Practical Guide to Reliable Finite Element Modelling will hold appeal to practising engineers engaged in conducting regular finite element analyses, particularly those new to the field of FE analysis. It will also be a resource for postgraduate students and researchers addressing problems associated with errors in the finite element method.
Chapter 1 Introduction and Overview
1.1 Purpose of the book
1.2 Finite Element Types - a Brief Overview
1.3 Finite Element Analysis and Finite Element Representations
1.4 Multi-Model Analyses
1.5 Consistency, Logic and Error Control.
1.6 Chapter Contents
1.7 References
Chapter 2 Overview of Static Finite Element Analysis
2.1 Introduction
2.2 The Direct Method for Static Analyses
2.3 Reducing the Problem Size
Chapter 3: Overview of Dynamic Analysis
3.1 Introduction
3.2 Element Mass Matrix
3.3 Additional Information that can be Extracted to Support a Dynamic Finite Element Analysis.
3.4 Forced Responses
3.5 Damped Forced Responses
3.6 Reducing the Problem Size
Chapter 4: What's Energy Got to Do with It?
4.1 Introduction
4.2 Strain Energy
4.3 Potential Energy
4.4 Simple Bar
4.5 General Case
4.6 Minimum Potential Energy
4.7 The Principle of Minimum Potential Energy Applied to a Simple Finite Element Problem.
4.8 Finite Element Formulation
4.9 Direct Application to an Axial Bar Element
4.10 Convergence in Energy and Convergence in Stress
4.11 Results Interpretation
4.12 Kinetic Energy.
4.13 Final Remark
Chapter 5 Preliminary Review of Errors and Error Control
5.1 Introduction
5.2 The Finite Element Process
5.3 Error and Uncertainty
5.4 Novelty, Complexity and Experience
5.5 Role of Testing
5.6 Initial Steps
5.7 Analysis Validation Plan (AVP)
5.8 Applied Common Sense
5.9 The Process
Chapter 6 Discretisation: Elements and Meshes or Some Ways to Avoid Generated Error
6.1 Introduction
6.2 Element Delivery
6.3 Mesh Grading and Mesh Distortion
6.4 The Accuracy Ladder
Chapter 7 Idealisation Error Types and Sources
7.1 Design Reduction and Idealisation Errors
7.2 Analysis Features
7.3 The Domain.
7.4 Levels of Abstraction
7.5 Boundary Conditions
7.6 Material Properties
7.7 Loads and Masses
Chapter 8 Error Control
8.1 Introduction
8.2 Approach and Techniques
8.3 Accumulation of Errors and Uncertainties
8.4 The Role of Testing
Chapter 9 Error Controlled Analyses
9.1 Introduction
9.2 Is the Finite Element System Fit for Purpose
9.3 Quality Report
9.4 The Error and Uncertainty Control Method
Chapter 10 FEMEC Walkthrough Example 10
10.1 Introduction
10.2 FEMEC Static Analysis Illustrative Problem.