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Informationen zum Autor Alan Morris has recently retired from his post at Cranfield University in the UK as Professor of Structural Analysis. His range of expertise covers the development and application of optimal design and analysis systems, with special emphasis on the finite element methods and structural optimisation programs. Previously, he was a Principal Research Officer in the Royal Aircraft Establishment (now QinetiQ) at Farnborough and was head of the Structures and Optimization Sections at the Advanced Concepts Section. Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis Preface xiii 1 Introduction 1 1.1 Aim of the book 1 1.2 Finite element types - a brief overview 3 1.3 Finite element analysis and finite element representations 6 1.4 Multi-model analyses 8 1.5 Consistency, logic and error control 8 1.6 Chapter contents 11 1.6.1 Chapter 2 Overview of static finite element analysis 11 1.6.2 Chapter 3 Overview of dynamic analysis 12 1.6.3 Chapter 4 What's energy got to do with it? 13 1.6.4 Chapter 5 Preliminary review of errors and error control 14 1.6.5 Chapter 6 Discretisation: elements and meshes or some ways to avoid generated error 14 1.6.6 Chapter 7 Idealisation error types and sources 15 1.6.7 Chapter 8 Error control 15 1.6.8 Chapter 9 Error-controlled analyses 16 1.6.9 Chapter 10 FEMEC walkthrough example 17 References 17 2 Overview of Static Finite Element Analysis 19 2.1 Introduction 19 2.2 The direct method for static analyses 20 2.2.1 Element matrices 20 2.2.2 Assembled global stiffness matrix for static analyses 21 2.2.3 Global coordinates 26 2.2.4 Some typical elements 29 2.2.5 The analysis loop 29 2.3 Reducing the problem size 33 2.3.1 Symmetry 33 2.3.2 Condensation and superelements 40 2.3.3 ...
