Nonlinear Differential Equations In Micro Nano Mechanics PDF Download
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| Author | : Ali Koochi |
| Publisher | : Elsevier |
| Total Pages | : 270 |
| Release | : 2020-05-19 |
| Genre | : Science |
| ISBN | : 0128192356 |
Download Nonlinear Differential Equations in Micro/nano Mechanics Book in PDF, ePub and Kindle
Nonlinear Differential Equations in Micro/nano Mechanics: Application in Micro/Nano Structures in Electromechanical Systems presents a variety of various efficient methods, including Homotropy methods, Adomian methods, reduced order methods and numerical methods for solving the nonlinear governing equation of micro/nanostructures. Various structures, including beam type micro/nano-electromechanical systems (MEMS/NEMS), carbon nanotube and graphene actuators, nano-tweezers, nano-bridges, plate-type microsystems and rotational micromirrors are modeled. Nonlinearity due to physical phenomena such as dispersion forces, damping, surface energies, microstructure-dependency, non-classic boundary conditions and geometry, and more is included. Establishes the theoretical foundation required for the modeling, simulation and theoretical analysis of micro/nanostructures and MEMS/NEMS (continuum-based solid mechanics) Covers various solution methods for investigating the behavior of nanostructures (applied mathematics) Provides the simulation of different physical phenomena of covered nanostructures
| Author | : Davood Domairry Ganji |
| Publisher | : William Andrew |
| Total Pages | : 412 |
| Release | : 2015-03-19 |
| Genre | : Science |
| ISBN | : 0323353819 |
Download Application of Nonlinear Systems in Nanomechanics and Nanofluids Book in PDF, ePub and Kindle
With Application of Nonlinear Systems in Nanomechanics and Nanofluids the reader gains a deep and practice-oriented understanding of nonlinear systems within areas of nanotechnology application as well as the necessary knowledge enabling the handling of such systems. The book helps readers understand relevant methods and techniques for solving nonlinear problems, and is an invaluable reference for researchers, professionals and PhD students interested in research areas and industries where nanofluidics and dynamic nano-mechanical systems are studied or applied. The book is useful in areas such as nanoelectronics and bionanotechnology, and the underlying framework can also be applied to other problems in various fields of engineering and applied sciences. Provides comprehensive coverage of nano-dynamical systems and their specialized processes and applications in the context of nonlinear differential equations and analytical methods Enables researchers and engineers to better model, interpret and control nanofluidics and other nano-dynamical systems and their application processes Explains nano-dynamical systems by means of describing ‘real-life’ application case studies
| Author | : Joseph Lasalle |
| Publisher | : Elsevier |
| Total Pages | : 521 |
| Release | : 2012-12-02 |
| Genre | : Science |
| ISBN | : 0323147305 |
Download International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics Book in PDF, ePub and Kindle
Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics. This book discusses the properties of solutions of equations in standard form in the infinite time interval. Organized into 49 chapters, this book starts with an overview of the characteristic types of differential equation systems with small parameters. This text then explains the structurally stable fields on a differentiable two manifold are the ones that exhibit the simplest features. Other chapters explore the canonic system of hyperbolic partial differential equations with fixed characteristics. This book discusses as well the monofrequent oscillations that are predominantly near one or the other of the linear modes of motion. The final chapter deals with the existence and asymptotic character of solutions of the nonlinear boundary value problem. This book is a valuable resource for pure and applied mathematicians. Aircraft engineers will also find this book useful.
| Author | : Svatopluk Fučík |
| Publisher | : Elsevier Publishing Company |
| Total Pages | : 359 |
| Release | : 1980 |
| Genre | : Differential equations, Partial |
| ISBN | : 9780444417589 |
Download Nonlinear Differential Equations Book in PDF, ePub and Kindle
| Author | : K. Vajravelu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 456 |
| Release | : 2001-04-30 |
| Genre | : Mathematics |
| ISBN | : 9780792368670 |
Download Differential Equations and Nonlinear Mechanics Book in PDF, ePub and Kindle
The book includes chapters written by well-known mathematicians and engineers. The topics include nonlinear differential equations, nonlinear dynamics, neural networks, modeling and dissipative processes, nonlinear ODE, nonlinear PDE, nonlinear mechanics, and fuzzy differential equations. The chapters are self-contained and contain new results. The book is suitable for anyone interested in pursuing research in the fields mentioned above.
| Author | : S.N. Antontsev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 338 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461200911 |
Download Energy Methods for Free Boundary Problems Book in PDF, ePub and Kindle
For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.
| Author | : W. F. Ames |
| Publisher | : Academic Press |
| Total Pages | : 282 |
| Release | : 1968 |
| Genre | : Computers |
| ISBN | : 0080955509 |
Download Nonlinear Ordinary Differential Equations in Transport Processes Book in PDF, ePub and Kindle
Nonlinear Ordinary Differential Equations in Transport Processes
| Author | : Feliz Manuel Minhós |
| Publisher | : MDPI |
| Total Pages | : 158 |
| Release | : 2021-04-15 |
| Genre | : Mathematics |
| ISBN | : 3036507108 |
Download Nonlinear Differential Equations and Dynamical Systems Book in PDF, ePub and Kindle
This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research.
| Author | : Bruno Carpentieri |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 374 |
| Release | : 2021-09-08 |
| Genre | : Mathematics |
| ISBN | : 1839686561 |
Download Recent Developments in the Solution of Nonlinear Differential Equations Book in PDF, ePub and Kindle
Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.
| Author | : Shaofan Li |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 660 |
| Release | : 2017-12-05 |
| Genre | : Technology & Engineering |
| ISBN | : 981443678X |
Download Introduction To Micromechanics And Nanomechanics (2nd Edition) Book in PDF, ePub and Kindle
This book presents a systematic treatise on micromechanics and nanomechanics, which encompasses many important research and development areas such as composite materials and homogenizations, mechanics of quantum dots, multiscale analysis and mechanics, defect mechanics of solids including fracture and dislocation mechanics, etc.In this second edition, some previous chapters are revised, and some new chapters added — crystal plasticity, multiscale crystal defect dynamics, quantum force and stress, micromechanics of metamaterials, and micromorphic theory.The book serves primarily as a graduate textbook and intended as a reference book for the next generation of scientists and engineers. It also has a unique pedagogical style that is specially suitable for self-study and self-learning for many researchers and professionals who do not have time attending classes and lectures.
