Nonlinear Differential Equations In Micro/Nano Mechanics 9780128192351

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Автор: Koochi, Ali
Название: Nonlinear Differential Equations In Micro/Nano Mechanics
ISBN: 9780128192351
Издательство: Elsevier Science
Классификация:

Математика и естественные науки

Материаловедение

ISBN-10: 0128192356
Обложка/Формат: Paperback
Страницы: 270
Вес: 0.38 кг.
Дата издания: 01.05.2020
Язык: English
Размер: 235 x 191 x 15
Подзаголовок: Application in micro/nano structures and electromechanical systems
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

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.

Nonlinear Differential Equations In Micro/Nano Mechanics, Koochi, Ali