Closed-form Approximations of the Pull-in Parameters and Stress Field of Electrostatic Cantilever Nano-actuators Considering van der Waals Attraction

Thermal and surface effects on the pull-in characteristics of circular nanoplate NEMS actuator based on nonlocal elasticity theory

“…For the identical nonlocal parameter, the pull-in voltage under thermal corrected Casimir force is slightly smaller than that of Casimir force without thermal effect. It is 14 consistent with the fact that when the distance between two flat electrodes is smaller than 100nm, the thermal correction of Casimir force is not significant, for the initial gap of this work is considered as 20nm. Thus, the influence of thermally corrected Casimir force has similar effect on pull-in behavior of circular nanoplate compared to that of quantum fluctuation-induced classical Casimir force.…”

“…In recent years, nano-electromechanical systems (NEMS) play more and more roles in nano-technology [1][2][3][4], due to the lower energy consumption and better electromechanical characteristics. Many advances in the technology of NEMS have accelerated engineering applications which have been used in nano-switches [5][6][7][8][9], nano-tweezers [10][11][12], nano-sensors and nano-actuators [13][14][15][16].…”

Modeling the size dependent pull-in instability of cantilever nano-switch immersed in ionic liquid electrolytes using strain gradient theory

“…Now, by using the substitutions x = X=L and w = W=g, the nondimensional total energy can be explained as: (23) turns into that of the classical theory by setting l 0 , l 1 , and l 2 equal to zero. Furthermore, the size-dependent behavior of nano-beam based on the modi ed couple stress theory can be obtained by considering l 0 = l 1 = 0 and l 2 = l.…”

“…If the separation between the interacting bodies is su ciently large (typically of the order of hundreds of nanometers), the retardation e ect is signi cant and the uctuation force is modeled as Casimir force. Many researchers have experimentally [17,18] and theoretically [19][20][21][22][23][24][25][26][27][28][29] investigated the e ect of Casimir force on the performance of ultra-small systems. Lamoreaux presented a comprehensive review of the theory of Casimir force and its corrections for real material and nite temperature [30].…”

Vibrational control scrutiny of physically affected SWCNT acted upon by a moving nanoparticle in the framework of nonlocal–strain gradient theory

“…1, can be feasible by attaching the PZT patches in zepto-/femto-/nano-scale objects to the SWCNT to sense the forced vibration and then with a connection to a charge amplifier with the inherent capacitance C f , which can produce and implement the applied voltage ( ) as an optimal control force, and can control the forced vibration of the SWCNT acted upon by a moving nanoparticle. Also, another way is considering the dielectric spacers between SWCNT and fixed ground plane to calculate the pull-in voltage [43][44][45] due to the investigation of the instability of SWCNT induced by a moving nanoparticle. In fact, by the calculation of the Coulomb electrostatic and vdW molecular attractions and then obtaining the pull-in voltage magnitudes, the stability range of the SWCNT will be assigned.…”