Nonlinear Differential Equations in Micro nano Mechanics

Nonlinear Differential Equations in Micro nano Mechanics
Author: Ali Koochi,Mohamadreza Abadyan
Publsiher: Elsevier
Total Pages: 270
Release: 2020-05-01
Genre: Science
ISBN: 9780128192368

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

Nonlinear Differential Equations in Micro Nano Mechanics

Nonlinear Differential Equations in Micro Nano Mechanics
Author: Ali Koochi,Mohamadreza Abadyan
Publsiher: Elsevier
Total Pages: 135
Release: 2020-05-29
Genre: Electronic Book
ISBN: 9780128192351

Download Nonlinear Differential Equations in Micro Nano Mechanics Book in PDF, Epub and Kindle

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.

IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems

IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems
Author: Ivana Kovacic,Stefano Lenci
Publsiher: Springer
Total Pages: 316
Release: 2019-07-24
Genre: Technology & Engineering
ISBN: 9783030236922

Download IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems Book in PDF, Epub and Kindle

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.

Analytical Methods in Nonlinear Oscillations

Analytical Methods in Nonlinear Oscillations
Author: Ebrahim Esmailzadeh,Davood Younesian,Hassan Askari
Publsiher: Springer
Total Pages: 286
Release: 2018-06-29
Genre: Technology & Engineering
ISBN: 9789402415421

Download Analytical Methods in Nonlinear Oscillations Book in PDF, Epub and Kindle

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.

Microelectromechanical Systems

Microelectromechanical Systems
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 2005
Genre: Electromechanical devices
ISBN: UOM:39015064355368

Download Microelectromechanical Systems Book in PDF, Epub and Kindle

Energy Methods for Free Boundary Problems

Energy Methods for Free Boundary Problems
Author: S.N. Antontsev,J.I. Diaz,S. Shmarev
Publsiher: Springer Science & Business Media
Total Pages: 332
Release: 2001-10-26
Genre: Technology & Engineering
ISBN: 0817641238

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.

Nonlinear and Robust Control of PDE Systems

Nonlinear and Robust Control of PDE Systems
Author: Panagiotis D. Christofides
Publsiher: Springer Science & Business Media
Total Pages: 251
Release: 2012-12-06
Genre: Science
ISBN: 9781461201854

Download Nonlinear and Robust Control of PDE Systems Book in PDF, Epub and Kindle

The interest in control of nonlinear partial differential equation (PDE) sys tems has been triggered by the need to achieve tight distributed control of transport-reaction processes that exhibit highly nonlinear behavior and strong spatial variations. Drawing from recent advances in dynamics of PDE systems and nonlinear control theory, control of nonlinear PDEs has evolved into a very active research area of systems and control. This book the first of its kind- presents general methods for the synthesis of nonlinear and robust feedback controllers for broad classes of nonlinear PDE sys tems and illustrates their applications to transport-reaction processes of industrial interest. Specifically, our attention focuses on quasi-linear hyperbolic and parabolic PDE systems for which the manipulated inputs and measured and controlled outputs are distributed in space and bounded. We use geometric and Lyapunov-based control techniques to synthesize nonlinear and robust controllers that use a finite number of measurement sensors and control actuators to achieve stabilization of the closed-loop system, output track ing, and attenuation of the effect of model uncertainty. The controllers are successfully applied to numerous convection-reaction and diffusion-reaction processes, including a rapid thermal chemical vapor deposition reactor and a Czochralski crystal growth process. The book includes comparisons of the proposed nonlinear and robust control methods with other approaches and discussions of practical implementation issues.

Chloroplasts and Cytoplasm

Chloroplasts and Cytoplasm
Author: Lourdes Trask
Publsiher: Unknown
Total Pages: 135
Release: 2018
Genre: Electronic Book
ISBN: 1536141275

Download Chloroplasts and Cytoplasm Book in PDF, Epub and Kindle