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.

本文阐述了针对相互过耦合电感传感器中双模共振（频率分裂）现象生成的研究理论及其关键实验发现，并探讨了如何利用该现象评估线圈之间的相对分离和角位移。该创新测量技术深入研究了两种线圈设计——螺线管和平面线圈几何形状之间的双模共振现象。所提出的传感器通过与一阶解析函数和有限元模型进行对比评估，随后在实验中验证了针对不同传感器配置所预测的现象。模拟和实验结果表现出高度一致性，并采用一阶最佳拟合函数来预测实验中的位移变量。研究表明，使用该方法可以实验性地预测共平面分离和角位移，精度可达±1毫米和±1度。本研究验证了所采用的一阶基于物理的模型，并首次证明了利用电感阵列传感器中的共振现象来评估阵列元素之间相对位移的原型原理。