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光纤光栅(FBG)应变传感器的光-力转换方程,为其标准化设计、参数标定及精度分析的理论依据。基于Ansari光纤传感器的应变传递分析模型及弹性力学的基本理论,建立了统一的埋入式光纤光栅应变传感器光-力转换的基本理论方程。方程的建立反映了传感器复合体内部及其与观测环境之间的力学耦合机制,考虑了应变传递分析模型的各边界条件、变形协调条件,以及传感器的所有几何尺寸。对传感器实例的实验研究表明,这一理论方程基本可靠,可成为光纤光栅应变传感器优化设计和性能分析的实用化理论工具。
The optical-force conversion equation of FBG strain sensor is the theoretical basis for its standardized design, parameter calibration and accuracy analysis. Based on the strain transfer analysis model of Ansari fiber sensor and the basic theory of elastic mechanics, the basic theoretical equation of light-force conversion of a unified FBG sensor is established. The establishment of the equation reflects the mechanical coupling mechanism inside the sensor complex and its observation environment, and considers the boundary conditions, deformation coordination conditions and all geometrical dimensions of the sensor in the strain transfer analysis model. The experimental study of the sensor case shows that this theoretical equation is basically reliable and can be a practical theoretical tool for the optimization design and performance analysis of the FBG sensor.