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

Present various efficient numerical and semi-analytical methods to evaluate the nonlinear performance of micro/nano structures based on the modified continuum mechanics

Ali Koochi (Author), Mohamadreza Abadyan (Author)

9780128192351, Elsevier Science

Paperback, published 5 May 2020

270 pages
23.4 x 19 x 1.8 cm, 0.57 kg

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.

1. Differential equations in miniature structures 2. Semi-analytical solution methods 3. Numerical methods 4. Dynamic and time-dependent equations

Subject Areas: Materials science [TGM]