UID:
almafu_9959328474802883
Format:
1 online resource (380)
ISBN:
9780470512111
,
0470512113
Content:
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 accurat.
Note:
Cover -- Contents -- Preface -- 1 Introduction -- 1.1 AIM OF THE BOOK -- 1.2 FINITE ELEMENT TYPES 8211; 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 -- 1.6.1 Chapter 2 Overview of Static Finite Element Analysis -- 1.6.2 Chapter 3 Overview of Dynamic Analysis -- 1.6.3 Chapter 4 Whats Energy Got to Do with It? -- 1.6.4 Chapter 5 Preliminary Review of Errors and Error Control -- 1.6.5 Chapter 6 Discretisation: Elements and Meshes or Some Ways to Avoid Generated Error -- 1.6.6 Chapter 7 Idealisation Error Types and Sources -- 1.6.7 Chapter 8 Error Control -- 1.6.8 Chapter 9 Error-Controlled Analyses -- 1.6.9 Chapter 10 FEMEC Walkthrough Example -- REFERENCES -- 2 Overview of Static Finite Element Analysis -- 2.1 INTRODUCTION -- 2.2 THE DIRECT METHOD FOR STATIC ANALYSES -- 2.2.1 Element Matrices -- 2.2.2 Assembled Global Stiffness Matrix for Static Analyses -- 2.2.3 Global Coordinates -- 2.2.4 Some Typical Elements -- 2.2.5 The Analysis Loop -- 2.3 REDUCING THE PROBLEM SIZE -- 2.3.1 Symmetry -- 2.3.2 Condensation and Superelements -- 2.3.3 Sub-structures -- REFERENCES -- 3 Overview of Dynamic Analysis -- 3.1 INTRODUCTION -- 3.2 ELEMENT MASS MATRIX -- 3.2.1 Free Undamped Vibrations -- 3.3 ADDITIONAL INFORMATION THAT CAN BE EXTRACTED TO SUPPORT A DYNAMIC FINITE ELEMENT ANALYSIS -- 3.3.1 Sturm Property Check -- 3.3.2 Rayleigh Quotient -- 3.4 FORCED RESPONSES -- 3.4.1 Modal Analysis -- 3.4.2 Direct Integration -- 3.5 DAMPED FORCED RESPONSES -- 3.5.1 Modal Analysis with Damping -- 3.5.2 Modal Damping Ratio -- 3.5.3 Direct Integration -- 3.6 REDUCING THE PROBLEM SIZE -- 3.6.1 Symmetry -- 3.6.2 Reducing the Number of Variables -- 3.6.3 Sub-structure Analysis (Component Mode Synthesis) -- REFERENCES -- 4 Whats 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 -- 4.10.1 Single Bar Element Model -- 4.10.2 2-Bar Element Model -- 4.10.3 4-Bar Element Model -- 4.10.4 8-Bar Element Model -- 4.10.5 16-Bar Element Model -- 4.11 RESULTS INTERPRETATION -- 4.11.1 Potential Energy Convergence -- 4.11.2 Stress Improvement -- 4.11.3 Displacement Convergence -- 4.12 KINETIC ENERGY -- 4.13 FINAL REMARKS -- REFERENCES -- 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 -- 5.4.1 Analysis Novelty -- 5.4.2 Degree of Complexity -- 5.4.3 Experience -- 5.5 ROLE OF TESTING -- 5.6 INITIAL STEPS -- 5.6.1 Qualification Process -- 5.6.2 Acceptable Magnitude of Error or Uncertainty -- 5.7 ANALYSIS VALIDATION PLAN (AVP) -- 5.8 APPLIED COMMON SENSE -- 5.9 THE PROCESS -- REFERENCES -- 6 Discretisation: Elements and Meshes or Some Ways to Avoid Generated Error* -- 6.1 INTRODUCTION -- 6.2 ELEMENT DELIVER.
Additional Edition:
Print version: Morris, Alan. Practical guide to reliable finite element modelling. Hoboken, N.J. : Wiley ; Chichester : John Wiley [distributor], 2008 ISBN 9780470018323
Additional Edition:
ISBN 0470018321
Language:
English
Keywords:
Electronic books.
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Electronic resource.
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Electronic books.
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Electronic resource.
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Electronic books.
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Electronic resource.
DOI:
10.1002/9780470512111
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9780470512111
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9780470512111
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9780470512111
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