Differential Transformation Method for Mechanical Engineering Problems

Differential Transformation Method for Mechanical Engineering Problems PDF Author: Mohammad Hatami
Publisher: Academic Press
ISBN: 0128053402
Category : Computers
Languages : en
Pages : 424

Book Description
Differential Transformation Method for Mechanical Engineering Problems focuses on applying DTM to a range of mechanical engineering applications. The authors modify traditional DTM to produce two additional methods, multi-step differential transformation method (Ms-DTM) and the hybrid differential transformation method and finite difference method (Hybrid DTM-FDM). It is then demonstrated how these can be a suitable series solution for engineering and physical problems, such as the motion of a spherical particle, nanofluid flow and heat transfer, and micropolar fluid flow and heat transfer. Presents the differential transformation method and why it holds an advantage over higher-order Taylor series methods Includes a full mathematical introduction to DTM, Ms-DTM, and Hybrid DTM Covers the use of these methods for solving a range of problems in areas such as nanofluid flow, heat transfer, and motion of a spherical particle in different conditions Provides numerous examples and exercises which will help the reader fully grasp the practical applications of these new methods

Advanced Composite Materials and Structures

Advanced Composite Materials and Structures PDF Author: Mohamed Thariq Hameed Sultan
Publisher: CRC Press
ISBN: 1000634795
Category : Technology & Engineering
Languages : en
Pages : 309

Book Description
This book bridges the gap between theoretical concepts and their implementations, especially for the high-performance structures/components related to advanced composite materials. This work focuses on the prediction of various structural responses such as deformations, natural frequencies etc. of advanced composites under complex environments and/or loading conditions. In addition, it discusses micro-mechanical material modeling of various advanced composite materials that involve different structures ranging from basic to advanced, such as beams, flat and curved panels, shells, skewed, corrugated, and other materials, as well as various solution techniques via analytical, semi-analytical, and numerical approaches. This book: Covers micro-mechanical material modeling of advanced composite materials Describes constitutive models of different composite materials and kinematic models of different structural configuration Discusses pertinent analytical, semi-analytical, and numerical techniques Focusses on structural responses relating to deformations, natural frequencies, and critical loads under complex environments Presents actual demonstrations of theoretical concepts as applied to real examples using Ansys APDL scripts This book is aimed at researchers, professionals, and graduate students in mechanical engineering, material science, material engineering, structural engineering, aerospace engineering, and composite materials.

Applications of Differential Transform to Real World Problems

Applications of Differential Transform to Real World Problems PDF Author: Yogeshwari F Patel
Publisher: CRC Press
ISBN: 1000629562
Category : Mathematics
Languages : en
Pages : 307

Book Description
This book is an invaluable resource for applied researchers to find the analytical solution of differential equations describing the dynamical system with less computational effort and time. It describes the basic concepts of the differential transform method and solution of various real-world problems described by simple to complicated differential equations. It provides a computational technique that is not only conceptually simple and easy to use but also readily adaptable for computer coding. Different chapters of the book deal with the basic differential equations involved in the physical phenomena as well as a complicated system of differential equations described by the mathematical model. The book offers comprehensive coverage of the most essential topics, including Basic concepts and fundamental properties of the proposed technique with proof The solution of linear, nonlinear, homogeneous, and nonhomogeneous ordinary differential equations (ODEs) and partial differential equations (PDEs) The initial and boundary value problems Real-world ODE and PDE problems are also discussed Applications of Differential Transform to Real World Problems is primarily aimed at undergraduates, graduates, and researchers studying differential equations. Scientists dealing with complicated differential equations or systems of differential equations will also find this book useful.

Materials for Biomedical Engineering: Bioactive Materials, Properties, and Applications

Materials for Biomedical Engineering: Bioactive Materials, Properties, and Applications PDF Author: Alexandru Mihai Grumezescu
Publisher: Elsevier
ISBN: 0128184329
Category : Medical
Languages : en
Pages : 616

Book Description
Materials for Biomedical Engineering: Bioactive Materials, Properties, and Applications introduces the reader to a broad range of the different types of bioactive materials used in biomedical engineering. All the main types of bioactive materials are discussed, with an emphasis placed on their synthesis, properties, performance, and potential for biomedical applications. Key chapters on modeling and surface modification and methods provide the step-by-step information needed by researchers. Important applications of bioactive materials, such as drug delivery, cancer therapy and clinical dentistry are also highlighted in detail. Final sections look at future perspectives for bioactive materials in biomedical engineering. Provides a knowledge of the range of bioactive materials available, enabling the reader to make optimal materials selection decisions Presents detailed information on current and proposed applications of the latest bioactive materials, thus empowering readers to design innovative products and processes Covers methods and provides the detailed guidance needed by researchers to replicate key procedures and contribute to further research and discovery in this important field

Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems

Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems PDF Author: Vasile Marinca
Publisher: Springer Nature
ISBN: 303075653X
Category : Technology & Engineering
Languages : en
Pages : 479

Book Description
This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of “optimal auxiliary functions” which are needed to obtain accurate results in an efficient way. Unlike other known analytic approaches, this procedure provides us with a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical systems. The optimal auxiliary functions are depending on some convergence-control parameters whose optimal values are rigorously determined from mathematical point of view. The capital strength of our procedure is its fast convergence, since after only one iteration, we obtain very accurate analytical solutions which are very easy to be verified. Moreover, no simplifying hypothesis or assumptions are made. The book contains a large amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and many more. The book is a continuation of our previous books “Nonlinear Dynamical Systems in Engineering. Some Approximate Approaches”, Springer-2011 and “The Optimal Homotopy Asymptotic Method. Engineering Applications”, Springer-2015.

Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy

Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy PDF Author: Manoj Sahni
Publisher: Springer Nature
ISBN: 9811999066
Category : Technology & Engineering
Languages : en
Pages : 474

Book Description
The book is a collection of best selected research papers presented at the Third International Conference on “Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy (MMCITRE 2022),” organized by the University of Technology Sydney, Australia, in association with the Department of Mathematics, Pandit Deendayal Energy University, India, and Forum for Interdisciplinary Mathematics. This book presents new knowledge and recent developments in all aspects of computational techniques, mathematical modeling, energy systems, applications of fuzzy sets and intelligent computing. The book provides innovative works of researchers, academicians and students in the area of interdisciplinary mathematics, statistics, computational intelligence and renewable energy.

International Conference on Mechanics and Materials Engineering (ICMME 2014)

International Conference on Mechanics and Materials Engineering (ICMME 2014) PDF Author:
Publisher: DEStech Publications, Inc
ISBN: 1605951773
Category : Technology & Engineering
Languages : en
Pages : 776

Book Description
The conference aims to provide an excellent international academic forum for all the researchers, practitioner, students and teachers in related fields to share their knowledge and results in theory, methodology and application on mechanics and materials engineering. ICMME2014 features unique mixed topics of Mechanics, Materials Science and Materials Processing Technology, Emerging materials and other related ones. The ICMME2014 proceeding tends to collect the most up-to-date, comprehensive, and worldwide state-of-art knowledge on mechanics and materials engineering. All the accepted papers have been submitted to strict peer-review by 2–4 expert referees, and selected based on originality, significance and clarity for the purpose of the conference. The conference program is extremely rich, profound and featuring high-impact presentations of selected papers and additional late-breaking contributions. We sincerely hope that the conference would not only show the participants a broad overview of the latest research results on related fields, but also provide them a significant platform for academic connection and exchange.

Weighted Residual Methods

Weighted Residual Methods PDF Author: Mohammad Hatami
Publisher: Academic Press
ISBN: 0128132191
Category : Technology & Engineering
Languages : en
Pages : 386

Book Description
Weighted Residual Methods: Principles, Modifications and Applications introduces a range of WRMs, providing examples that show how they can be used to solve complex engineering problems with greater accuracy and computational efficiency. Examples focus on non-linear problems, including the motion of a spherical particle, nanofluid flow and heat transfer, magnetohydrodynamic flow and heat transfer, and micropolar fluid flow and heat transfer. These are important factors in understanding processes, such as filtration, combustion, air and water pollution and micro contamination. In addition to the applications, the reader is provided with full derivations of equations and summaries of important field research. Includes the basic code for each method, giving readers a head start in using WRMs for computational modeling Provides full derivations of important governing equations in a number of emerging fields of study Offers numerous, detailed examples of a range of applications in heat transfer, nanotechnology, medicine, and more

Handbook of Research on Modern Optimization Algorithms and Applications in Engineering and Economics

Handbook of Research on Modern Optimization Algorithms and Applications in Engineering and Economics PDF Author: Vasant, Pandian
Publisher: IGI Global
ISBN: 1466696451
Category : Mathematics
Languages : en
Pages : 999

Book Description
Modern optimization approaches have attracted many research scientists, decision makers and practicing researchers in recent years as powerful intelligent computational techniques for solving several complex real-world problems. The Handbook of Research on Modern Optimization Algorithms and Applications in Engineering and Economics highlights the latest research innovations and applications of algorithms designed for optimization applications within the fields of engineering, IT, and economics. Focusing on a variety of methods and systems as well as practical examples, this book is a significant resource for graduate-level students, decision makers, and researchers in both public and private sectors who are seeking research-based methods for modeling uncertain real-world problems. .

Applications of Nonlinear Analysis

Applications of Nonlinear Analysis PDF Author: Themistocles M. Rassias
Publisher: Springer
ISBN: 3319898159
Category : Mathematics
Languages : en
Pages : 931

Book Description
New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory. Topics include: Fixed point theory Fixed-circle theory Coupled fixed points Nonlinear duality in Banach spaces Jensen's integral inequality and applications Nonlinear differential equations Nonlinear integro-differential equations Quasiconvexity, Stability of a Cauchy-Jensen additive mapping Generalizations of metric spaces Hilbert-type integral inequality, Solitons Quadratic functional equations in fuzzy Banach spaces Asymptotic orbits in Hill’sproblem Time-domain electromagnetics Inertial Mann algorithms Mathematical modelling Robotics Graduate students and researchers will find this book helpful in comprehending current applications and developments in mathematical analysis. Research scientists and engineers studying essential modern methods and techniques to solve a variety of problems will find this book a valuable source filled with examples that illustrate concepts.