151473
Format: PDF
File size: PDF 11 MB
Language: English
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.
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 the nanostructures