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。

Based on Ansari’s strain transferring analytical model for fiber optic sensors and basic theories in elastic mechanics, a universal basic optical-mechanical transformation theoretical equation which is the base for standarzied design and precision analysis for embedded fiber Bragg grating (FBG) strain sensors is established. In course of establishing the equation, the axial mechanically coupling mechanisms within sensor complex and with sensed environments are reflected, each boundary condition and displacement coordination condition for strain transferring analytical mode are considered, and all sensor geometrical parameters are taken into account. Experimental study on a sensor sample has validated the rough reliability of proposed theoretical equation.