2016
DOI: 10.1088/0960-1317/26/2/025010
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Dynamic electro-thermo-mechanical modelling of a U-shaped electro-thermal actuator

Abstract: In this paper, we develop original analytical electro-thermal and thermo-mechanical models for the U-shaped electrothermal actuator. Dynamics of the temperature distribution and displacement are obtained as a direct relationship between the system dimensions, material properties and electrical input. The electrothermal model provides an exact solution of the hybrid PDEs that describe the electrothermal behavior for each of the actuator's three connected arms. The solution is obtained using a new calculation me… Show more

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Cited by 33 publications
(18 citation statements)
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“…To date, a good amount of MEMS analysts postulate that heat loss by convection is either negligible and therefore unaccounted for in their analyses [19], or that the heat lost by convection may be assumed as a boundary condition with a constant convection coefficient irrespective of the spatial distribution of surface temperature [6]. Another theory is that the heat lost by convection on the microscale tends to be negligible compared to that lost by conduction to the substrate [20][21][22][23][24][25][26].…”
Section: Analytical Modellingmentioning
confidence: 99%
“…To date, a good amount of MEMS analysts postulate that heat loss by convection is either negligible and therefore unaccounted for in their analyses [19], or that the heat lost by convection may be assumed as a boundary condition with a constant convection coefficient irrespective of the spatial distribution of surface temperature [6]. Another theory is that the heat lost by convection on the microscale tends to be negligible compared to that lost by conduction to the substrate [20][21][22][23][24][25][26].…”
Section: Analytical Modellingmentioning
confidence: 99%
“…Moreover, the coupling between the heat transfer problem and the large folding motion requires re-meshing of the surrounding environment every iteration, which adds extra complexity to the simulation. The FE models have also been used to study electro-thermal actuators for micro-electromechanical systems (MEMS) [35], [36], [37]. Because typical electrothermal actuators fabricated with MEMS produce only small deformations, the simulations do not need to re-mesh the thermal boundary making the FE simulations appropriate for MEMS devices.…”
Section: Related Workmentioning
confidence: 99%
“…This assumption holds as long as the system we study is small and the convection is not significant. For most devices fabricated with MEMS process, this is a valid assumption [35], [36]. In the remainder of this subsection, we will introduce how to calculate the model parameters based on the system geometry and the material properties to effectively capture the heat transfer between the origami and the surrounding environment.…”
Section: A Step 1: Solving the Heat Transfer Problem In Origamimentioning
confidence: 99%
“…In each subsystem of discrete actuator, U-shaped electrothermal actuators are used in order to ensure the switching function (closing and opening of S2 and S3 clamp) and to drive and hold the moving part in the second stable position (shuttle in subsystem S1). The dimensions of the U-shaped electrothermal actuator are chosen based on the modeling and FEM simulations [37] in order to provide the required performance in terms of force and displacement. The final dimensions of the actuators are shown in figure 12.…”
Section: U-shaped Electrothermal Actuatorsmentioning
confidence: 99%