Abstract

This work presents the results of the experimental and theoretical study of the static pull-in of tilting actuation executed by a hybrid levitation micro-actuator (HLMA) based on the combination of inductive levitation and electrostatic actuation. A semi-analytical model to study such a pull-in phenomenon is developed, for the first time, as a result of using the qualitative technique based on the Lagrangian approach to analyze inductive contactless suspensions and a recent progress in the calculation of mutual inductance and force between two circular filaments. The obtained non-linear model, accounting for two degrees of freedom of the actuator, allows us to predict accurately the static pull-in displacement and voltage. The results of modeling were verified experimentally and agree well with measurements.

Highlights

  • IntroductionHybrid Micro-Actuator: Theory and Electromagnetic levitation micro-actuators employing remote ponderomotive forces, in order to act on a target environment or compensate a gravity force for holding stably a micro-object at the equilibrium without mechanical attachment, have already found wide applications and demonstrated a new generation of micro-sensors and -actuators with increased operational capabilities and overcoming the domination of friction over inertial forces at the micro-scale

  • Hybrid Micro-Actuator: Theory and Electromagnetic levitation micro-actuators employing remote ponderomotive forces, in order to act on a target environment or compensate a gravity force for holding stably a micro-object at the equilibrium without mechanical attachment, have already found wide applications and demonstrated a new generation of micro-sensors and -actuators with increased operational capabilities and overcoming the domination of friction over inertial forces at the micro-scale.There are number of techniques, which provide the implementation of electromagnetic levitation into a micro-actuator system and can be classified according to the materials used and the sources of the force fields in two major branches: electric levitation micro-actuators (ELMA) and magnetic levitation micro-actuators (MLMA)

  • The first circuit corresponds to the eddy current distributed along the edge of disc-shaped proof mass (PM) and the second circuit is defined by the levitation coil

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Summary

Introduction

Hybrid Micro-Actuator: Theory and Electromagnetic levitation micro-actuators employing remote ponderomotive forces, in order to act on a target environment or compensate a gravity force for holding stably a micro-object at the equilibrium without mechanical attachment, have already found wide applications and demonstrated a new generation of micro-sensors and -actuators with increased operational capabilities and overcoming the domination of friction over inertial forces at the micro-scale. HLMAs, in which, for instance, the inductive levitation micro-actuator system can be joined with a source of electrostatic field, dramatically increase the capabilities of levitated micro-systems [4] and demonstrate a wide range of different operation modes such as the linear and angular positioning, bi-stable linear and angular actuation and the adjustment of stiffness components, as it was reported in [17,23] and presented by the author at Transducers 2017 [24] These capabilities open a new very promising perspective to create smart micro-actuator systems with new functional abilities implemented, for instance, by means of the coherent cooperation of distributed microactuators, multistable actuation, mechanical and electromagnetic couplings.

Fabrication and Measurements
Simulation and Modeling
Simulation of Induced Eddy Current within the Tilting Proof Mass
Mutual Inductance between Two Filaments of Circular and Elliptic Shapes
Model of Static Pull-In of Tilting Actuation
Analysis of the Derived Model
Conclusions
Full Text
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