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eBook - ePub
Reliability in Biomechanics
About this book
In this book, the authors present in detail several recent methodologies and algorithms that we have developed during the last fifteen years. The deterministic methods account for uncertainties through empirical safety factors, which implies that the actual uncertainties in materials, geometry and loading are not truly considered. This problem becomes much more complicated when considering biomechanical applications where a number of uncertainties are encountered in the design of prosthesis systems. This book implements improved numerical strategies and algorithms that can be applied only in biomechanical studies.
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Yes, you can access Reliability in Biomechanics by Ghias Kharmanda,Abdelkhalak El Hami in PDF and/or ePUB format, as well as other popular books in Biological Sciences & Biotechnology. We have over one million books available in our catalogue for you to explore.
Information
1
Basic Tools for Reliability Analysis
1.1. Introduction
The modeling of a mechanical system can be defined as the mathematical idealization of physical phenomena that control it. This obviously requires us to define input variables (geometric parameters of the system, loading conditions, etc.) and output variables (displacements, stresses, etc.) that will help to understand the evolution of the mechanical system. The models used are more complex and accurate and the current issue is the identification of the parameters constituting them. In fact, we can no longer afford, in dealing with certain types of problems, to use deterministic models where the mean values interpose only because that generally leads to a very erroneous representation of reality. This chapter presents the basic tools for the development of a model of reliability in biomechanics especially in prosthesis design. This model is considered implicit and requires a numerical simulation to identify the parameters of structural response. To estimate this response, with good accuracy, the finite element method (FEM) appears as a preferential numerical simulation tool. This method consists of discretizing a structure, such as a prosthesis, into a set of subdomains, called finite elements or mesh, linked to each other by nodes. The calculation of a structure is to establish an equation system for the displacements of the set of all meshing nodes and deduct, pursuant to their resolution, the approximations of the deformation and stress fields. Then, the reliability itself is performed by a process of optimization. To perform the optimization and reliability, a sensitivity analysis is required to determine or identify the role of each parameter with respect to the constraints and objective functions.
1.2. Advantages of numerical simulation and optimization
In general...
Table of contents
- Cover
- Table of Contents
- Title
- Copyright
- Preface
- Introduction
- Chapter 1: Basic Tools for Reliability Analysis
- Chapter 2: Reliability Concept
- Chapter 3: Integration of Reliability Concept into Biomechanics
- Chapter 4: Reliability Analysis of Orthopedic Prostheses
- Chapter 5: Reliability Analysis of Orthodontic Prostheses
- Appendices
- Bibliography
- Index
- End User License Agreement