Nonlinear Differential Equations in Micro nano Mechanics Book

Nonlinear Differential Equations in Micro nano Mechanics


  • Author : Ali Koochi
  • Publisher : Elsevier
  • Release Date : 2020-05-01
  • Genre: Science
  • Pages : 270
  • ISBN 10 : 9780128192368

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Nonlinear Differential Equations in Micro nano Mechanics Excerpt :

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

Nonlinear Differential Equations in Micro Nano Mechanics Book

Nonlinear Differential Equations in Micro Nano Mechanics


  • Author : Ali Koochi
  • Publisher : Elsevier
  • Release Date : 2020-05-29
  • Genre: Uncategoriezed
  • Pages : null
  • ISBN 10 : 9780128192351

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Nonlinear Differential Equations in Micro Nano Mechanics Excerpt :

Small-scale continuum mechanics theories are powerful tools for modelling miniature structures. By solving the governing equations of structural motion, the physical behaviour of these systems such as static behaviour, vibration and instability can be studied. However, this approach leads to strongly nonlinear ordinary or partial differential equations; there are usually no analytical solutions for these equations. This book presents a variety of various efficient methods, including Homotopy methods, Adomian methods, reduced order methods, 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 modelled. Nonlinearity due to physical phenomena such as dispersion forces, damping, surface energies, microstructure-dependency, non-classic boundary conditions and geometry, fluid-solid interactions, elctromechanical instability, electromagnetic instability, nonlocal and size-dependency, are considered in the governing equations. For each solution method several examples are solved in order to better understanding the proposed methods. This is an important resource for both materials scientists and mechanical engineers, who want to understand more about the underlying theories of nanostructure mechanical behaviour.

Introduction to Micromechanics and Nanomechanics Book

Introduction to Micromechanics and Nanomechanics


  • Author : Shaofan Li
  • Publisher : World Scientific Publishing Company
  • Release Date : 2017-12-05
  • Genre: Technology & Engineering
  • Pages : 660
  • ISBN 10 : 9789814436786

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Introduction to Micromechanics and Nanomechanics Excerpt :

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.

Energy Methods for Free Boundary Problems Book

Energy Methods for Free Boundary Problems


  • Author : S.N. Antontsev
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Technology & Engineering
  • Pages : 332
  • ISBN 10 : 9781461200918

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Energy Methods for Free Boundary Problems Excerpt :

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.

Application of Nonlinear Systems in Nanomechanics and Nanofluids Book

Application of Nonlinear Systems in Nanomechanics and Nanofluids


  • Author : Davood Domairry Ganji
  • Publisher : William Andrew
  • Release Date : 2015-03-19
  • Genre: Technology & Engineering
  • Pages : 412
  • ISBN 10 : 9780323353816

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Application of Nonlinear Systems in Nanomechanics and Nanofluids Excerpt :

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

Sixth International Conference on Nonlinear Mechanics  ICNM 6  Book

Sixth International Conference on Nonlinear Mechanics ICNM 6


  • Author : Zhe-wei Zhou
  • Publisher : DEStech Publications, Inc
  • Release Date : 2013-08-30
  • Genre: Science
  • Pages : 637
  • ISBN 10 : 9781605951096

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Sixth International Conference on Nonlinear Mechanics ICNM 6 Excerpt :

Novel mathematical and modeling approaches to problems in graded materials, biological materials, fluid mechanics and more Covers nanomechanics, multi-scale modeling, interface mechanics and microstructure This series volume contains 128 not previously published research presentations on using nonlinear mechanics to understand and model a wide variety of materials, including polymers, metals and composites, as well as subcellular and cellular tissues. Focus is on numerical and physics approaches to representing multiscale relationships within complex solids and fluids systems, with applications in materials science, energy storage, medical diagnostics and treatment, and biotechnology. TABLE OF CONTENTS Preface Committees SESSION 1: INVITED LECTURES Micro-Macro Analysis of Creep and Damage Behavior of Multi-Pass Welds Some New Developments in Non-Linear Solid Mechanics Design of Material Systems: Mathematics and Physics of the Archetype-Genome Exemplar Criticism of Generally Accepted Fundamentals and Methodologies of Traffic and Transportation Theory SESSION 2: NONLINEAR CONTINUUM MECHANICS Geometrically Nonlinear Analysis of Simple Plane Frames of Functionally Graded Materials Thermal Post-Buckling of FG Circular Plates Under Transversely Point-Space Constraint Tunability of Longitudinal Wave Band Gap in One Dimensional Magneto-Elastic Phononic Crystal Teaching Nonlinear Mechanics at the Undergraduate and Graduate Level—Two Examples Geometrically Nonlinear FE Instability Simulations of Hinged Composite Laminated Cylindrical Shells Constitutive Relation of Martensitic Transformation in CuAlNi Based on Atomistic Simulations Soft Behaviors of Beam Shaped Liquid Crystal Elastomers Under Light Actuations XFEM Based Discontinuity Simulation for Saturated Soil Numerical Algorithm of Solving the Problem of Large Elastic-Plastic Deformation by FEM Finite Deformation for Everted Compressible Hypereleastic Cylindrical Tubes Modelling and Non-Linear Free Vibrations of Cable-S

Microelectromechanical Systems Book

Microelectromechanical Systems


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2007
  • Genre: Electromechanical devices
  • Pages : null
  • ISBN 10 : UOM:39015048081429

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Microelectromechanical Systems Excerpt :

Analytical Methods in Nonlinear Oscillations Book

Analytical Methods in Nonlinear Oscillations


  • Author : Ebrahim Esmailzadeh
  • Publisher : Springer
  • Release Date : 2018-06-29
  • Genre: Technology & Engineering
  • Pages : 286
  • ISBN 10 : 9789402415421

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Analytical Methods in Nonlinear Oscillations Excerpt :

This book covers both classical and modern analytical methods in nonlinear systems. A wide range of applications from fundamental research to engineering problems are addressed. The book contains seven chapters, each with miscellaneous problems and their detailed solutions. More than 100 practice problems are illustrated, which might be useful for students and researchers in the areas of nonlinear oscillations and applied mathematics. With providing real world examples, this book shows the multidisciplinary emergence of nonlinear dynamical systems in a wide range of applications including mechanical and electrical oscillators, micro/nano resonators and sensors, and also modelling of global warming, epidemic diseases, sociology, chemical reactions, biology and ecology.

Nanotechnology and Precision Engineering Book

Nanotechnology and Precision Engineering


  • Author : Zheng Yi Jiang
  • Publisher : Trans Tech Publications Ltd
  • Release Date : 2013-02-13
  • Genre: Technology & Engineering
  • Pages : 1050
  • ISBN 10 : 9783038260219

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Nanotechnology and Precision Engineering Excerpt :

Selected, peer reviewed papers from the International Conference on Nanotechnology and Precision Engineering (ICNPE 2012), December 18-19, 2012, Guangzhou, China

IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems Book

IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems


  • Author : Ivana Kovacic
  • Publisher : Springer
  • Release Date : 2019-07-24
  • Genre: Technology & Engineering
  • Pages : 316
  • ISBN 10 : 9783030236922

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IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems Excerpt :

This is the proceedings of the IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems that was held in Novi Sad, Serbia, from July 15th to 19th, 2018. The appearance of nonlinear phenomena used to be perceived as dangerous, with a general tendency to avoid them or control them. This perception has led to intensive research using various approaches and tailor-made tools developed over decades. However, the Nonlinear Dynamics of today is experiencing a profound shift of paradigm since recent investigations rely on a different strategy which brings good effects of nonlinear phenomena to the forefront. This strategy has a positive impact on different fields in science and engineering, such as vibration isolation, energy harvesting, micro/nano-electro-mechanical systems, etc. Therefore, the ENOLIDES Symposium was devoted to demonstrate the benefits and to unlock the potential of exploiting nonlinear dynamical behaviour in these but also in other emerging fields of science and engineering. This proceedings is useful for researchers in the fields of nonlinear dynamics of mechanical systems and structures, and in Mechanical and Civil Engineering.

Cornell University Courses of Study Book

Cornell University Courses of Study


  • Author : Cornell University
  • Publisher : Unknown
  • Release Date : 2007
  • Genre: Uncategoriezed
  • Pages : null
  • ISBN 10 : CORNELL:31924097790251

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Cornell University Courses of Study Excerpt :

Differential Transformation Method for Mechanical Engineering Problems Book

Differential Transformation Method for Mechanical Engineering Problems


  • Author : Mohammad Hatami
  • Publisher : Academic Press
  • Release Date : 2016-11-17
  • Genre: Computers
  • Pages : 422
  • ISBN 10 : 9780128053409

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Differential Transformation Method for Mechanical Engineering Problems Excerpt :

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

MEMS and NEMS Book

MEMS and NEMS


  • Author : Sergey Edward Lyshevski
  • Publisher : CRC Press
  • Release Date : 2018-10-03
  • Genre: Technology & Engineering
  • Pages : 461
  • ISBN 10 : 9781351836135

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MEMS and NEMS Excerpt :

The development of micro- and nano-mechanical systems (MEMS and NEMS) foreshadows momentous changes not only in the technological world, but in virtually every aspect of human life. The future of the field is bright with opportunities, but also riddled with challenges, ranging from further theoretical development through advances in fabrication technologies, to developing high-performance nano- and microscale systems, devices, and structures, including transducers, switches, logic gates, actuators and sensors. MEMS and NEMS: Systems, Devices, and Structures is designed to help you meet those challenges and solve fundamental, experimental, and applied problems. Written from a multi-disciplinary perspective, this book forms the basis for the synthesis, modeling, analysis, simulation, control, prototyping, and fabrication of MEMS and NEMS. The author brings together the various paradigms, methods, and technologies associated with MEMS and NEMS to show how to synthesize, analyze, design, and fabricate them. Focusing on the basics, he illustrates the development of NEMS and MEMS architectures, physical representations, structural synthesis, and optimization. The applications of MEMS and NEMS in areas such as biotechnology, medicine, avionics, transportation, and defense are virtually limitless. This book helps prepare you to take advantage of their inherent opportunities and effectively solve problems related to their configurations, systems integration, and control.

MEMS NEMS Nano Technology Book

MEMS NEMS Nano Technology


  • Author : Xiao Hao Wang
  • Publisher : Trans Tech Publications Ltd
  • Release Date : 2011-06-30
  • Genre: Technology & Engineering
  • Pages : 830
  • ISBN 10 : 9783038135036

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MEMS NEMS Nano Technology Excerpt :

Volume is indexed by Thomson Reuters CPCI-S (WoS). This book brings together over 153 peer-reviewed papers, grouped into 6 chapters: Micro-/Nano-Fabrication and Measurement Technologies, Micro-Sensors and Actuators, Microfluidic Devices and Systems, MEMS/NENS and Applications, Nano-Material Research / Nanotubes / Nanowire Devices, Micropower Technology, Theories in Micro-/Nano-Technologies. Most of the papers are authored by Chinese researchers, and the volume thus offers a good overview of the research on MEMS and nano-technology being conducted in China. The work will be of great interest to researchers, graduate students and engineers who are working in the fields of MEMS and nano-technology.