@article{(Open Science Index):https://publications.waset.org/pdf/10004080,
	  title     = {Nonlinear Structural Behavior of Micro- and Nano-Actuators Using the Galerkin Discretization Technique},
	  author    = {Hassen M. Ouakad},
	  country	= {},
	  institution	= {},
	  abstract     = {In this paper, the influence of van der Waals, as well as electrostatic forces on the structural behavior of MEMS and NEMS actuators, has been investigated using of a Euler-Bernoulli beam continuous model. In the proposed nonlinear model, the electrostatic fringing-fields and the mid-plane stretching (geometric nonlinearity) effects have been considered. The nonlinear integro-differential equation governing the static structural behavior of the actuator has been derived. An original Galerkin-based reduced-order model has been developed to avoid problems arising from the nonlinearities in the differential equation. The obtained reduced-order model equations have been solved numerically using the Newton-Raphson method. The basic design parameters such as the pull-in parameters (voltage and deflection at pull-in), as well as the detachment length due to the van der Waals force of some investigated micro- and nano-actuators have been calculated. The obtained numerical results have been compared with some other existing methods (finite-elements method and finite-difference method) and the comparison showed good agreement among all assumed numerical techniques.
},
	    journal   = {International Journal of Mechanical and Mechatronics Engineering},
	  volume    = {10},
	  number    = {4},
	  year      = {2016},
	  pages     = {666 - 672},
	  ee        = {https://publications.waset.org/pdf/10004080},
	  url   	= {https://publications.waset.org/vol/112},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 112, 2016},
	}