Experimental Displacement Data

This paper presents the theory and key experimental findings for an investigation into the generation of bimodal resonance(frequency splitting) phenomena in mutually over-coupled inductive sensors, and its exploitation to evaluate relative separation andangular displacement between coils. This innovative measurement technique explores the bimodal resonant phenomena observedbetween two coil designs - solenoid and planar coil geometries. The proposed sensors are evaluated against first-order analyticalfunctions and finite element models, before experimentally validating the predicted phenomenon for the different sensor configurations.The simulated and experimental results show excellent agreement and first-order best-fit functions are employed to predictdisplacement variables experimentally. Co-planar separation and angular displacement are shown to be experimentally predictableto within ±1mm and ±1o using this approach. This study validates the first-order physics-based models employed, and demonstratesthe first proof-of-principle for using resonant phenomena in inductive array sensors for evaluating relative displacement betweenarray elements.