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Nonlinear Differential Equations in Micro/Nano Mechanics

Nonlinear Differential Equations in Micro/Nano Mechanics
Application in Micro/Nano Structures and Electromechanical Systems

by Ali Koochi,Mohamadreza Abadyan

  • Publisher : Elsevier
  • Release : 2020-05-29
  • Pages : 329
  • ISBN : 0128192356
  • Language : En, Es, Fr & De
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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.

Application of Nonlinear Systems in Nanomechanics and Nanofluids

Application of Nonlinear Systems in Nanomechanics and Nanofluids
Analytical Methods and Applications

by Davood Domairry Ganji,Sayyid Habibollah Hashemi Kachapi

  • Publisher : William Andrew
  • Release : 2015-03-19
  • Pages : 412
  • ISBN : 0323353819
  • Language : En, Es, Fr & De
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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

Introduction to Micromechanics and Nanomechanics

Introduction to Micromechanics and Nanomechanics
A Book

by Shaofan Li,Gang Wang

  • Publisher : World Scientific
  • Release : 2008
  • Pages : 500
  • ISBN : 9812814132
  • Language : En, Es, Fr & De
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Covers micromechanics and its applications in nano-mechanics, nano-composites, dislocation and thin film theories, and configurational mechanics theory. This book compiles developments in dislocation dynamics, numerical simulations of material failure and homogenization theory.

Analytical Methods in Nonlinear Oscillations

Analytical Methods in Nonlinear Oscillations
Approaches and Applications

by Ebrahim Esmailzadeh,Davood Younesian,Hassan Askari

  • Publisher : Springer
  • Release : 2018-06-29
  • Pages : 286
  • ISBN : 9402415424
  • Language : En, Es, Fr & De
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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.

Cornell University Courses of Study

Cornell University Courses of Study
A Book

by Cornell University

  • Publisher : Unknown Publisher
  • Release : 2007
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Microelectromechanical Systems

Microelectromechanical Systems
(MEMS)

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2007
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields

Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields
Regular and Chaotic Dynamics of Micro/Nano Beams, and Cylindrical Panels

by Jan Awrejcewicz,Vadim A. Krysko,Maxim V. Zhigalov,Anton V. Krysko

  • Publisher : Springer
  • Release : 2020-12-17
  • Pages : 342
  • ISBN : 9783030559922
  • Language : En, Es, Fr & De
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This book is devoted to researchers and teachers, as well as graduate students, undergraduates and bachelors in engineering mechanics, nano-mechanics, nanomaterials, nanostructures and applied mathematics. It presents a collection of the latest developments in the field of nonlinear (chaotic) dynamics of mass distributed-parameter nanomechanical structures, providing a rigorous and comprehensive study of modeling nonlinear phenomena. It is written in a unique pedagogical style particularly suitable for independent study and self-education. In addition, the book achieves a good balance between Western and Eastern extensive studies of the mathematical problems of nonlinear vibrations of structural members.

Journal of Computational and Theoretical Nanoscience

Journal of Computational and Theoretical Nanoscience
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2004
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Sixth International Conference on Nonlinear Mechanics (ICNM-6)

Sixth International Conference on Nonlinear Mechanics (ICNM-6)

by Zhe-wei Zhou

  • Publisher : DEStech Publications, Inc
  • Release : 2013-08-30
  • Pages : 637
  • ISBN : 1605951099
  • Language : En, Es, Fr & De
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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-Stayed Beam Wavelet Solution of a Class of Nonlinear Boundary Value Problems Axial Compression of a Rectangular Rubber Ring Composed of an Incompressible Mooney-Rivlin Material Influence of Concentration-Dependent Elastic Modulus and Charge or Discharge Rate on Tensile Stress in Anode An Integral Equation Approach to the Fully Nonlinear Fluid Flow Problem in an Infinite Channel Over Arbitrary Bottom Topography Analysis of Nonlinear Dynamical Characteristics for Thermoelastic Half-Plane with Voids Tensor Model for Dynamic Damage of Ductile Metals Over a Wide Range of Strain Rates SESSION 3: MULTI-SCALE MECHANICS AND MULTI-PHYSICS MODELING The Nonlinear Magnetoelectric Effect of Layered Magnetoelectric Composite Cylinder with an Imperfect Interface A Solution for Nonlinear Poisson-Neumann Problem of Nb3Sn Superconducting Transport Current Temperature Effect on the Tensile Mechanical Properties of Graphene Nanoribbons Square Inclusion with a Nonlinear Eigenstrain in an Anisotropic Piezoelectric Full Plane Nonlinear Analysis of the Threaded Connection with Three-Dimensional Finite Element Model Effects of Particle Volume Fraction on the Macro-Thermo-Mechanical Behaviors in Plate-Type Dispersion Nuclear Fuel Elements Mechanics of Semiflexible Polymer Chains Under Confinements Study on the Solution of Reynolds Equation for Micro Gas Bearings Using the Alternating-Direction Implication Algorithm Atomistic Study of Li Concentration Dependence of the Mechanical Properties of Graphite Anode in Li-ion Battery 3D Extrusion Simulation of the Single Screw Head and Optimization Design Buckling Behavior of Defective Carbon Nanotubes Elastic Properties of Single-Stranded DNA Biofilm with Strong Interactions Analysis on Thickness Dependence of Jc Caused by Dislocations and Grain Boundaries in YBCO Superconducting Films Operating Strain Response in CICC Coils Through Nonlinear Finite Element Modeling Dynamics Analysis of a Multi-Degree-of-Freedom Electro-Hydraulic Mix-Drive Motion Simulator by KANE Equation Multiscale 3D Fracture Simulation Integrating Tomographic Characterization Research into Compressive Mechanical Properties of Special Piezomagnetic Material Sheets A Numerical Study on Detonation Wave Propagation Using High-Precision and High-Resolution Schemes SESSION 4: STRUCTURAL DYNAMIC AND STRUCTURE-FLUID INTERACTIONS A Study on Pure IL VIV of a Marine Riser in Shear Current Parametric Studies on Nonlinear Flutter of High-Aspect-Ratio Flexible Wings Model Reduction of a Flexible Beam Rotating at High Speed Considering Dynamic Stiffening Vibration Modal Analysis of Cantilever Beams with Complicated Elasticity Boundary Constraint Numerical Simulation of Ahmed Model in Consideration of the FSI Effect Aerodynamic Damping of a Hammerhead Launch Vehicle in Transonic Flow Symmetry Reductions and Explicit Solutions of (3 + 1)-Dimensional Kadomtsev-Petviashvili (KP) Equation Nonlinear Behaviors of an Isotropic Incompressible Hyperelastic Spherical Membrane Under Different Dynamic Loads Creep Buckling of Viscoelastic Plate Consdering Higher Order Modes SESSION 5: COMPLEX FLUID FLOW AND NONLINEAR STABILITY Homotopy Analysis of Korteweg-de Vries Equation with Time Delay Homotopy Analysis Method for Bubble Pulsation Equation with Nonlinear Term of Fractional Power Chebyshev Finite Spectral Method for Boussinesq-Type Equations on Staggered Grids Twin Jets in Crossflow Application of Fixed Point Method to Obtain a Semi-Analytical Solution of Stagnation Flow On the Nonlinear Stability of Laminar Flow Between Parallel Planes Boundary Treatments in Lattice Boltzmann Method A Lattice Boltzmann Based Immersed Boundary Method for Fluid-Structure Interaction Numerical Solutions of Convection-Diffusion Equations by Hybrid Discontinuous Galerkin Methods Steady-State Solutions of the Wave-Bottom Resonant Interaction Lattice Boltzmann Simulation of the Shock Damping and the Shock Increased by Means of Lorentz Force Analysis of the Effects of Nonlinear Characteristics of Lag Dampers on Helicopter Ground Resonance Flow Structures and Sound Radiation in Supersonic Mixing Layers with Nonlinear PSE Method Turbulent Structures in Subsonic Jet Flow Forced by Random Disturbances Exponential p-Stability for a Delayed Recurrent Neural Networks with Impulses Spatial Variation of Scaling Exponents for Structure Functions in a Decaying Turbulence SESSION 6: NONLINEAR DYNAMIC OF STRUCTURE Analysis of Chaos Behavior of Single Mode Vibration of Cable-Stayed Chaotification of Fractional Maps Nonlinear Finite Element Analysis of the Dynamic Axial Crushing of Empty Hexagonal Tube Active Control of a Nonlinear Aeroelastic System Using the Receptance Method Dynamics Analysis of the FHN Neuronal Model Analyzing the Effect of the Axial Force to the Natural Frequencies of Arch Stable Periodic Response of One-Way Clutches in a Two-Pulley Belt-Drive Model Supercritical Nonlinear Dynamics of an Axially Moving Viscoelastic Beam with Speed Fluctuation Nonlinear Dynamic Response to a Moving Force of Timoshenko Beams Resting on Pasternak Foundations An Improved Method for the Construction of Nonlinear Operator in Homotopy Analysis Method A Nonlinear Integration Scheme for Evolutionary Differential Equations A Comparative Study of Civil Aircraft Crashworthiness with Different Ground Conditions Improved Dynamic Analysis of Development of Pulmonary Edema The Timescale Function Method for Solving Free Vibration of Nonlinear Oscillator Nonlinear Aeroelastic Analysis of Flexible Wings with High-Aspect-Ratio Considering Large Deflection Differential Quadrature Method for Vibration Analysis of Finite Beams on Nonlinear Viscoelastic Foundations

Nonlinear Wave Dynamics of Materials and Structures

Nonlinear Wave Dynamics of Materials and Structures
A Book

by Holm Altenbach,Victor A. Eremeyev,Igor S. Pavlov,Alexey V. Porubov

  • Publisher : Springer Nature
  • Release : 2020-04-22
  • Pages : 461
  • ISBN : 3030387089
  • Language : En, Es, Fr & De
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This book marks the 60th birthday of Prof. Vladimir Erofeev – a well-known specialist in the field of wave processes in solids, fluids, and structures. Featuring a collection of papers related to Prof. Erofeev’s contributions in the field, it presents articles on the current problems concerning the theory of nonlinear wave processes in generalized continua and structures. It also discusses a number of applications as well as various discrete and continuous dynamic models of structures and media and problems of nonlinear acoustic diagnostics.

Proceedings of the ... International Symposium on Micro-NanoMechatronics and Human Science

Proceedings of the ... International Symposium on Micro-NanoMechatronics and Human Science
The ... Symposium "Micro-NanoMechatronics for an Information-Based Society"

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2004
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Applications of Nanofluid for Heat Transfer Enhancement

Applications of Nanofluid for Heat Transfer Enhancement
A Book

by Mohsen Sheikholeslami,Davood Domairry Ganji

  • Publisher : William Andrew
  • Release : 2017-02-26
  • Pages : 618
  • ISBN : 0128123982
  • Language : En, Es, Fr & De
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Applications of Nanofluid for Heat Transfer Enhancement explores recent progress in computational fluid dynamic and nonlinear science and its applications to nanofluid flow and heat transfer. The opening chapters explain governing equations and then move on to discussions of free and forced convection heat transfers of nanofluids. Next, the effect of nanofluid in the presence of an electric field, magnetic field, and thermal radiation are investigated, with final sections devoted to nanofluid flow in porous media and application of nanofluid for solidification. The models discussed in the book have applications in various fields, including mathematics, physics, information science, biology, medicine, engineering, nanotechnology, and materials science. Presents the latest information on nanofluid free and force convection heat transfer, of nanofluid in the presence of thermal radiation, and nanofluid in the presence of an electric field Provides an understanding of the fundamentals in new numerical and analytical methods Includes codes for each modeling method discussed, along with advice on how to best apply them

Proceedings of the ... ASME Integrated Nanosystems Conference

Proceedings of the ... ASME Integrated Nanosystems Conference
Design, Synthesis, and Applications : Presented at ... ASME Integrated Nanosystems Conference

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2004
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Proceedings of the 3rd ASME Integrated Nanosystems Conference

Proceedings of the 3rd ASME Integrated Nanosystems Conference
Design, Synthesis, and Applications : Presented at 3rd ASME Integrated Nanosystems Conference, September 22-24, 2004, Pasadena, California USA

by Anonim

  • Publisher : American Society of Mechanical Engineers
  • Release : 2004
  • Pages : 148
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Nanotechnology and Precision Engineering

Nanotechnology and Precision Engineering
A Book

by Zheng Yi Jiang,Yun Hae Kim

  • Publisher : Trans Tech Publications Ltd
  • Release : 2013-02-13
  • Pages : 1050
  • ISBN : 3038260215
  • Language : En, Es, Fr & De
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Selected, peer reviewed papers from the International Conference on Nanotechnology and Precision Engineering (ICNPE 2012), December 18-19, 2012, Guangzhou, China

Aerospace America

Aerospace America
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2002
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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International Aerospace Abstracts

International Aerospace Abstracts
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1998
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Proceedings of the 4th International Conference on Nanochannels, Microchannels and Minichannels-- 2006

Proceedings of the 4th International Conference on Nanochannels, Microchannels and Minichannels-- 2006
Presented at 4th International Conference on Nanochannels, Microchannels and Minichannels, June 19-21, 2006, Limerick, Ireland

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2006
  • Pages : 1394
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Dynamical Processes in Generalized Continua and Structures

Dynamical Processes in Generalized Continua and Structures
A Book

by Holm Altenbach,Alexander Belyaev,Victor A. Eremeyev,Anton Krivtsov,Alexey V. Porubov

  • Publisher : Springer
  • Release : 2019-03-06
  • Pages : 525
  • ISBN : 3030116654
  • Language : En, Es, Fr & De
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This book presents a collection of chapters on the current problems of the theory of dynamical processes in generalized continua and structures, and has been compiled to commemorate the 70th birthday of Prof. Dmitry Indeitsev – a leading specialist in the field of dynamical processes in solids, fluids and structures. It discusses various applications related to Prof. Indeitsev’s contributions, including various discrete and continuous dynamic models of structures and media, as well as a number of dynamical processes in generalized media.

Modeling and Dynamics of Micromechanical Oscillators

Modeling and Dynamics of Micromechanical Oscillators
A Book

by Tuhin Sahai

  • Publisher : Unknown Publisher
  • Release : 2008
  • Pages : 240
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Even though we have picked particular examples of oscillators to model and study, the overall approach, numerical and perturbative methods used are more encompassing in their applications. Further, similar micromechanical oscillators are expected to have similar dynamics. The main message we want the reader to take away is that without accurate models of micromechanical oscillators important dynamics may be missed; which can be detrimental for design and usability purposes.