基于改进遗传算法双重约束的FBG应变分布重构研究

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光纤布拉格光栅(FBG)已广泛应用于应变参数测量中,但非均匀应变易引起FBG光谱变形而无法进行波长检测,因此需重构沿FBG的应变分布。针对应变分布重构效果差且收敛速度慢的难题,在深入研究改进遗传算法的基础上,提出基于FBG光谱中心波长位置与反射率双重约束的应变分布重构理论,显著改善了重构的非唯一性和置信度。同时,假设应变分布为多项式形式,通过对多项式系数的重构实现应变分布的重构,大大提高了重构的速度。在此基础上开展了应变分布参数重构仿真实验,多项式系数重构误差均小于1.5%;结合两端固定压杆调谐光纤光栅实验,验证了该应变分布重构方法的有效性、适用性和可操作性,形成了一种快速有效的应变分布重构方法。 Fiber Bragg Gratings (FBGs) have been widely used in the measurement of strain parameters. However, non-uniform strain easily leads to FBG spectral distortion and can not detect the wavelength. Therefore, the strain distribution along the FBG needs to be reconstructed. Aiming at the problem that the effect of strain distribution reconstruction is poor and the convergence speed is slow, on the basis of further study of improved genetic algorithm, the theory of strain distribution reconfiguration based on double constraint of FBG spectral center wavelength position and reflectivity is proposed. Uniqueness and confidence. At the same time, assuming that strain distribution is in polynomial form, reconstruction of strain distribution by polynomial coefficient reconstruction greatly improves the speed of reconstruction. On this basis, the simulation experiments of strain distribution parameter reconfiguration are carried out, and the error of polynomial coefficients reconstruction is less than 1.5%. The effectiveness of the strain distribution reconfiguration method and its applicability Operability, forming a fast and effective method of strain distribution reconstruction.
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