Nonlinear Differential Equations in Micro/nano Mechanics

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.

Autorentext
Dr. Ali Koochi is currently an assistant professor of Mechanical Engineering at the University of Torbat Heydarieh, Iran. He obtained his Ph.D. (2016) from Amirkabir University of Technology (AUT), M.S. degree (2009) from Sharif University of Technology (SUT) and his undergraduate B.S. degree (2006) from AUT. His general academic areas of interest include MEMS/NEMS, Dynamic Instability, Piezo/Magneto Materials, and Applied Mathematics. Dr. Mohamadreza Abadyan received the M.Sc. and Ph.D. degrees in aerospace engineering from Sharif University of Technology, Iran, in 2004 and 2010, respectively. His current research interests include the pull-in performance of MEMS/NEMSnd mechanical behavior of polymer/composites.

Inhalt

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