Chaotic motion due to lateral Casimir forces during nonlinear actuation dynamics

Tajik, Fatemeh; Masoudi, A. A.; Sedighi, Mehdi; Palasantzas, G.

doi:10.1063/5.0011334

Cited by 4 publications

(4 citation statements)

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“…[1][2][3][4][5][6][7]13 The Casimir force is strongly dependent on the geometry and optical properties of the system, [14][15][16][17][18][19][20][21][22][23][24] thermal effects, [25][26][27][28] and the presence of corrugated boundaries between interacting bodies. 3,19,29,30 The latter point enables the feasibility to tailor the direction and strength of the Casimir force and consequently drive the actuation dynamic of NEMS/MEMS.…”

Section: Introductionmentioning

confidence: 99%

“…21,22,24,32 The threshold condition for this phenomenon and its sensitivity on material optical properties are different for both the normal and lateral directions of motion. 21,29 So far, several studies have been performed to investigate the normal Casimir force for normal displacements and the lateral Casimir force by creating tangential displacement in devices. [5][6][7]21,22,24 The dependence of both the normal and lateral components of the Casimir force on optical properties and thermal effects and consequently their influence on the dynamical behavior of actuating devices can be diverse.…”

Section: Introductionmentioning

confidence: 99%

“…[5][6][7]21,22,24 The dependence of both the normal and lateral components of the Casimir force on optical properties and thermal effects and consequently their influence on the dynamical behavior of actuating devices can be diverse. 21,29 However, there is limited knowledge on how changes of the normal Casimir force by making lateral displacement in devices with corrugated surfaces will affect the dynamical actuation of devices and the occurrence of any associated chaotic motion. Under certain conditions, the magnitude of the Casimir force can be strong enough to destroy a friction-less movement set by the lateral force leading eventually to chaotic motion and subsequently stiction.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Sensitivity of actuation dynamics on normal and lateral Casimir forces: Interaction of phase change and topological insulator materials

Tajik

Sedighi

Palasantzas

2021

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We investigated here the influence of the lateral and normal Casimir force on the actuation dynamics between sinusoidal corrugated surfaces undergoing both normal and lateral displacements. The calculations were performed for topological insulators and phase change materials that are of high interest for device applications. The results show that the lateral Casimir force becomes stronger by increasing the material conductivity and the corrugations toward similar sizes producing wider normal separation changes during lateral motion. In a conservative system, bifurcation and Poincaré portrait analysis shows that larger but similar in size corrugations and/or higher material conductivity favor stable motion along the lateral direction. However, in the normal direction, the system shows higher sensitivity on the optical properties for similar in size corrugations leading to reduced stable operation for higher material conductivity. Furthermore, in non-conservative systems, the Melnikov function with the Poincaré portrait analysis was combined to probe the possible occurrence of chaotic motion. During lateral actuation, systems with more conductive materials and/or the same but high corrugations exhibit lower possibility for chaotic motion. By contrast, during normal motion, chaotic behavior leading to stiction of the moving components is more likely to occur for systems with more conductive materials and similar in magnitude corrugations.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Sensitivity of actuation dynamics on normal and lateral Casimir forces: Interaction of phase change and topological insulator materials

Tajik

Sedighi

Palasantzas

2021

Chaos: An Interdisciplinary Journal of Nonlinear Science

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“…Analytical estimates of the chaotic threshold in parameter space are obtained by using Melnikov's method (MM). It is worth mentioning in this regard that MM has been previously used to study the chaotic behavior of a double-beam torsional actuator subjected to Casimir forces and torques [15] as well as the chaotic motion due to lateral Casimir forces during nonlinear actuation dynamics [16]. Also, it is anticipated theoretically the relevance of the impulse transmitted by the net T /2-periodic excitation F (t) driving the pinion,…”

Section: Introductionmentioning

confidence: 99%

Chaotic dynamics of a rack-pinion-rack device powered by the Casimir force

Chacón

Martínez

2021

Physics Letters A

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Influence of optical property contrast on the critical distribution of electrostatic torques in double-beam torsional Casimir actuators: Non-linear actuation toward chaotic motion

Dadi,

Masoudi,

Tajik

et al. 2023

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Here, we discuss how to achieve the stable actuation of a double beam torsional micro-actuator over the largest possible displacement of the moving component under the influence of Casimir and electrostatic torques, when the rotating component is constructed from different materials. The main part of this study is devoted to finding the optimal distribution of the electrostatic torque between the left and right sides of the micro-actuator to reach the maximum stable operation of the device. The latter is manifested by switching from homoclinic to heteroclinic orbits in the phase portraits. Indeed, the bifurcation curves and the phase portraits have been employed to show the sensitivity of the critical distribution of the electrostatic torque, beyond which the device does show stable performance, on the contrast of the optical properties of the moving component and the applied voltage in a conservative autonomous system. Moreover, for driven systems, the Melnikov function approach and the Poincaré portraits are used to study the presence of chaotic motion, which eventually leads to stiction. It is shown that the application of the optimal distribution of the electrostatic torque can significantly decrease the possibility of chaotic motion, and at this optimal level, the threshold curves reveal less difference between systems with different optical contrast.

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Chaotic motion due to lateral Casimir forces during nonlinear actuation dynamics

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Cited by 4 publications

References 56 publications

Sensitivity of actuation dynamics on normal and lateral Casimir forces: Interaction of phase change and topological insulator materials

Sensitivity of actuation dynamics on normal and lateral Casimir forces: Interaction of phase change and topological insulator materials

Chaotic dynamics of a rack-pinion-rack device powered by the Casimir force

Influence of optical property contrast on the critical distribution of electrostatic torques in double-beam torsional Casimir actuators: Non-linear actuation toward chaotic motion

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