Uncertainty and Optimization in Structural Mechanics

El Hami, Abdelkhalak

Wiley-ISTE

Fluid-Structure Interactions and Uncertainties: Ansys and Fluent Tools

Advanced Numerical Methods with Matlab 2: Resolution of Nonlinear, Differential and Partial Differential Equations (Mathematical and Mechanical Engineering Book 7)

Science & Math

Radi, Bouchaib

Mathematics

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.

Reliability in Biomechanics (Mechanical Engineering and Solid Mechanics: Reliability of Multiphysical Systems, 3)

Kharmanda, Ghias

Biological Sciences

In this book, the authors present in detail several recent methodologies and algorithms that they 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 to biomechanical studies.

Biomechanics: Optimization, Uncertainties and Reliability (Reliability of Multiphysical Systems Set, 5)

The final volume in the Non-deformable Solid Mechanics set, Movement Equations 5 deals with the dynamics of sets of solids. This volume provides the appropriate mathematical tools (torsor calculus and matrix calculus) to obtain and solve the equations of motion for a chain of solids. These equations are then used to acquire the information necessary for the design of mechanical systems. Also examined are the vibratory behavior of continuous (deformable) systems, rigid and deformable solids, and sets of several solids. The book concludes with a study of the response of an excited system as a function of the excitation frequency. Accompanied by detailed examples, this book is aimed primarily at students, but would also serve as a valuable support for working engineers and teacher-researchers.

Movement Equations 5: Dynamics of a Set of Solids (Mechanical Engineering and Solid Mechanics: Non-deformable Solid Mechanics, 5)

Vénizélos, Georges

Physics

This book aims to provide an efficient methodology of solving a fluid mechanics problem, based on an awareness of the physical. It meets different objectives of the student, the future engineer or scientist: Simple sizing calculations are required to master today's numerical approach for solving complex practical problems.

Compressible Flow Propulsion and Digital Approaches in Fluid Mechanics (Mechanical Engineering Ans Solid Mechanics: Mathematical and Mechanical Engineering Set)

LeDoux, Michel

Most physical problems can be written in the form of mathematical equations (differential, integral, etc.). Mathematicians have always sought to find analytical solutions to the equations encountered in the different sciences of the engineer (mechanics, physics, biology, etc.). These equations are sometimes complicated and much effort is required to simplify them. In the middle of the 20th century, the arrival of the first computers gave birth to new methods of resolution that will be described by numerical methods. They allow solving numerically as precisely as possible the equations encountered (resulting from the modeling of course) and to approach the solution of the problems posed. The approximate solution is usually computed on a computer by means of a suitable algorithm. The objective of this book is to introduce and study the basic numerical methods and those advanced to be able to do scientific computation. The latter refers to the implementation of approaches adapted to the treatment of a scientific problem arising from physics (meteorology, pollution, etc.) or engineering (structural mechanics, fluid mechanics, signal processing, etc.) .

Advanced Numerical Methods with Matlab 1: Function Approximation and System Resolution (Mechanical Engineering and Solid Mechanics: Mathematical and Mechanical Engineering, 6)

The purpose of this book is to introduce and study numerical methods basic and advanced ones for scientific computing. This last refers to the implementation of appropriate approaches to the treatment of a scientific problem arising from physics (meteorology, pollution, etc.) or of engineering (mechanics of structures, mechanics of fluids, treatment signal, etc.). Each chapter of this book recalls the essence of the different methods resolution and presents several applications in the field of engineering as well as programs developed under Matlab software.

Advanced Numerical Methods with Matlab 2: Resolution of Nonlinear, Differential and Partial Differential Equations (Mathematical and Mechanical Engineering, 7)

Heat is a branch of thermodynamics that occupies a unique position due to its involvement in the field of practice. Being linked to the management, transport and exchange of energy in thermal form, it impacts all aspects of human life and activity. Heat transfers are, by nature, classified as conduction, convection (which inserts conduction into fluid mechanics) and radiation. The importance of these three transfer methods has resulted Â- justifiably Â- in a separate volume being afforded to each of them. This first volume is dedicated to thermal conduction, and, importantly, assumes an analytical approach to the problems presented, and recalls the fundamentals. Heat Transfer 1 combines a basic approach with a deeper understanding of the discipline and will therefore appeal to a wide audience, from technician to engineer, from doctoral student to teacher-researcher.

Heat Transfer 1: Conduction

Technology

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