Multi-physics Optimization E-Book

Abdelkhalak El Hami

• Herausgeber: John Wiley & Sons
• Kategorie: Fachliteratur
• Serie: ISTE Invoiced
• Sprache: Englisch

Seitenzahl: 268

Veröffentlichungsjahr: 2025

Beschreibung

This book illustrates, in detail, the state of the art in the multidisciplinary science of multi-physics optimization. In a context of the perpetual search for improved industrial competitiveness, the evolution of product design and optimization methods and tools appears to be a strategic necessity in view of the imperative to reduce costs. In the aeronautics sector, resources are mainly focused on forecasting and controlling the costs incurred by failures that occur at commissioning, during the warranty period, and during aircraft operation. However, in the future, new contracts for the sale of aeronautical equipment will become increasingly oriented toward sales by the hour of operation.

The aim of this book is to propose new methods for reliability-based optimization, enabling an analysis of a system’s life cycle. The V-cycle allows development phases to be viewed in terms of development time and levels of integration complexity.

Multi-physics Optimization is dedicated to optimization methods for multi-physics problems. Each chapter clearly sets out the techniques used and developed and accompanies them with illustrative examples. The book is aimed at students but is also a valuable resource for practicing engineers and research lecturers.

Leseprobe

Reliability of Multiphysical Systems Set

coordinated byAbdelkhalak El Hami

Volume 20

Multi-physics Optimization

Mechanics, Fluid Interaction Structure, Shaping, Stochastic Finite Elements, Random Vibrations, Fatigue

Abdelkhalak El HamiBouchaïb Radi

First published 2025 in Great Britain and the United States by ISTE Ltd and John Wiley & Sons, Inc.

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© ISTE Ltd 2025The rights of Abdelkhalak El Hami and Bouchaïb Radi to be identified as the authors of this work have been asserted by them in accordance with the Copyright, Designs and Patents Act 1988.

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Library of Congress Control Number: 2025938441

British Library Cataloguing-in-Publication DataA CIP record for this book is available from the British LibraryISBN 978-1-83669-031-3

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Preface

Optimization is a field of mathematics in which the focus of interest is on maximizing (or minimizing) a given objective, such as energy or an economic value. Problems in dynamics of mechanical structures, for example, are of great importance; they lead in particular to building mechanical assemblies that are increasingly more flexible and subject to excitations that fluctuate more quickly over time.

This book illustrates, in great detail, the state of the art of the multidisciplinary science of multi-physics optimization and structure reliability. In a context of perpetual research to improve industrial competitiveness, the evolution of methods and tools for designing and optimizing products becomes a strategic need when cost reduction is imperative. To increase the competitiveness of their mechatronic devices, equipment manufacturers in civil engineering, automotive and aerospace industries must innovate in both design and assembly processes to reduce product development times. In addition, these innovating products must naturally combine excellent functional and operational performance, including reliability optimization, in order to fully meet the expectations of the global market. In the field of aeronautics, the needs mainly relate to the forecasting and control of the costs induced by failures appearing during the initial period of operation, during the warranty period and during the normal operation of the aircraft, bearing in mind that, in the future, new contracts for the sale of aeronautical equipment will be more oriented toward sales, based on the time of operation.

Although the aeronautics sector features relatively low production volumes compared to the automotive sector (in terms of the number of units per type of product), the financial challenges are significant and as such, aircraft manufacturers oversize mechatronic components to deal with unknown problems.

This book proposes new optimization methods coupled with reliability methods for the analysis of the life cycle of a system. The V-cycle allows for the inserting of development phases into the period of time needed for development and the levels of integration complexity. Each chapter begins with reminders of essential results, which should not prevent the reader from consulting the references at the end of the book.

Chapter 1 presents the different methods in mechanics for structural dynamics analysis and optimization. Then, the notion of uncertainty is taken into account by presenting the different stochastic finite element and reliability optimization methods.

Chapter 2 presents a methodology coupling the techniques of reliability optimization in design and modal synthesis methods. First, we present the state of the art in modal synthesis methods. We then propose an algorithm by integrating modal synthesis methods into the reliability optimization process. Finally, we evaluate this algorithm with different applications by showing the efficiency and robustness of the proposed method.

Chapter 3 covers the presentation of the general equations of the dynamics of mechanical structures by considering their application to stochastic modal synthesis methods. The first section covers the equations of motion for a mechanical structure, the notations for the calculation of dynamic responses, the computation of eigenmodes and the frequency response functions, as problems. On the other hand, direct resolution methods integrate equations of motion in order to be able to work with nonlinear structures or if the frequency content of the excitation covers a large number of structural modes. Later in the chapter, the method of substructuring is recalled, which consists of treating a structure as an assembly of interconnected substructures.

The objective of Chapter 4 is to determine the best methodology to follow for the reliability optimization of structures subjected to random vibrations, taking into account fatigue damage.

Chapter 5 presents optimization and shaping by hydroforming. This process involves several complex phenomena and exhibits several types of nonlinearities (material, geometric, boundary conditions, etc.). The development of such an operation requires a lot of testing in order to determine the optimum loading pathways in an accurate manner and to obtain a part with no defect.

Chapter 6 presents the problems of reliability optimization in the design of structures in vibration and in interaction with a flowing fluid in order to detect the critical frequency bands that can lead to the damage (or destruction) of the structure to be optimized.

Chapter 7 is dedicated to the presentation of the generalized polynomial chaos method in the process of reliable dental implant optimization

Acknowledgments

We would like to thank all of the people who have directly or indirectly contributed to the development of this book, in particular the engineering students and doctoral students of the INSA of Rouen Normandy, who have been under our supervision for the past few years

Abdelkhalak EL HAMI

Bouchaïb RADIJune 2025