“Applied Mathematics in Engineering” is an edited book comprising 15 contemporaneous open-access articles focused on mathematical modelling, mathematical optimization, and fractal mathematics and their applications in modern engineering and industry. The first part covers a wide range of mathematical models for solving real-world problems in mechanical engineering, biomedicine, fluid dynamics, and other applications. The second part of the book presents various mathematical optimization methods and algorithms (e.g. topology optimization, hybrid arithmetic optimization, and isogeometric topology optimization) for solving engineering problems. The third part of the book is dedicated to the mathematics of fractals and its applications in the engineering of antennas, image compression technology, fracture mechanics, ophthalmology and more. The intended audience of this book is undergraduate and graduate students, as well as junior researchers.
Author(s): Olga Moreira
Publisher: Arcler Press
Year: 2022
Language: English
Pages: 540
City: Boston
Cover
Title Page
Copyright
DECLARATION
ABOUT THE EDITOR
TABLE OF CONTENTS
List of Contributors
List of Abbreviations
Preface
Chapter 1 A Survey of Mathematical Tools in Topology and Performance Integrated Modeling and Design of Robotic Mechanism
Abstract
Introduction
Relationship Between Development of Robotic Mechanism and Motions
Matrix Lie Group and Lie Algebra Based Method
Dual Quaternion and Pure Dual Quaternion Based Method
Finite Screw and Instantaneous Screw Based Method
Discussions
Conclusions
References
Chapter 2 A High Accuracy Modeling Scheme for Dynamic Systems: Spacecraft Reaction Wheel Model
Abstract
Introduction
Methods
Results and Discussion
Conclusions
References
Chapter 3 Mathematical Modeling of Vaporization during Laser-induced Thermotherapy in Liver Tissue
Abstract
Introduction
Mathematical Model
Mathematical Modeling of Vaporization
Numerical Methods
Results and Discussion
Conclusion
References
Chapter 4 A Novel Mathematical Modeling with Solution for Movement of Fluid through Ciliary caused Metachronal Waves in a Channel
Abstract
Introduction
Modeling of the Rheological Problem
Solution Methodology
Velocity Profile
Analysis of the Physical Problem
Conclusion
Acknowledgements
References
Chapter 5 A New Mathematical Modeling Approach for Thermal Exploration Efficiency under different Geothermal Well Layout Conditions
Abstract
Introduction
Conceptual Model of Geothermal Exploitation
Basic Assumptions of the Model
Example Model
Parameters and Content
Results and Discussion
Conclusion
Acknowledgements
References
Chapter 6 Mathematical Modeling and Thermodynamics of Prandtl–Eyring Fluid with Radiation Effect: a Numerical Approach
Abstract
Introduction
Mathematical Modeling
Numerical Scheme
Discussion On Graphical Outcomes
Conclusion
References
Chapter 7 A Reverse Logistics Chain Mathematical Model for a Sustainable Production System of Perishable Goods based on Demand Optimization
Abstract
Introduction
Literature Review
Problem Statement and Mathematical Formulation
Case Study
Conclusions
References
Chapter 8 New Mathematical Modeling for a Location–routing– inventory Problem in a Multi-period Closed-loop Supply Chain in a Car Industry
Abstract
Introduction
Literature Review
Problem Definition
Proposed Solution Methods
Computational Results
Conclusion
References
Chapter 9 Information Sharing Systems and Teamwork between Sub-teams: A Mathematical Modeling Perspective
Abstract
Introduction
The Proposed Model and Problem Statement
Conclusion
References
Chapter 10 Topology Optimisation under Uncertainties with Neural Networks
Abstract
Introduction
Topology Optimisation Under Uncertainties
Neural Network Architectures
Results
Discussion and Conclusions
Author Contributions
Acknowledgments
Appendix A. Bridge Benchmark Problem
Appendix B. Finite Element Discretization
Appendix C. Additional Experiments
References
Chapter 11 A Hybrid Arithmetic Optimization and Golden Sine Algorithm for Solving Industrial Engineering Design Problems
Abstract
Introduction
Preliminaries
The Proposed Algorithm
Experimental Results and Discussion
Conclusions and Future Work
Author Contributions
Acknowledgments
References
Chapter 12 Modeling and Optimizing the System Reliability Using Bounded Geometric Programming Approach
Abstract
Introduction
Literature Review
Geometric Programming Problem: Basic Concepts
Computational Study
Conclusions
Author Contributions
Acknowledgments
References
Chapter 13 A Comprehensive Review of Isogeometric Topology Optimization: Methods, Applications and Prospects
Abstract
Introduction
Isogeometric Topology Optimization (ITO) Methods
Applications of ITO
Prospects
Conclusions
References
Chapter 14 Analysis and Computations of Optimal Control Problems for Boussinesq Equations
Abstract
Introduction
Notation
Optimal Control of Boussinesq Equations
Numerical Results
Conclusions
Author Contributions
References
Chapter 15 Fractals: An Eclectic Survey, Part II
Abstract
Introduction
Mathematics of Fractals
Fractals in Natural and Artificial Landscapes
Fractal Antennas
Fractals in Image Compression
Fractals in Fracture Mechanics
Other Fractal Applications and Innovations
Conclusions
Author Contributions
Acknowledgments
References
Index
Back Cover
