Six-Dimensional Deformation Measurement of Distributed POS Based on FBG Sensors

Design and Development of Array POS for Airborne Remote Sensing Motion Compensation

“…FBG sensors are pasted at points A, B, C, and D of each wing cross-section by epoxy glues; points A, B, and C are on the upper surface and point D is on the lower surface. To obtain a high-precision deformation, the distance between two adjacent cross-sections is less than 20 cm, and four points should be as far apart as possible [28]. FBG sensors at each wing are connected along length to form 4 FBG arrays, and the end of FBG array is connected to the FBG interrogator.…”

“… is the strain generated by bending around neutral axis z at point A . A  , B  , C  , and D  are known strains measured by FBG sensors at points A , B , C , and D , respectively, and M is the coefficient matrix in reference [28].…”

“…where ε A y , ε C y , and ε D y are the strain generated by bending around neutral axis y at points A, C, and D, respectively, and ε A z is the strain generated by bending around neutral axis z at point A. ε A , ε B , ε C , and ε D are known strains measured by FBG sensors at points A, B, C, and D, respectively, and M is the coefficient matrix in reference [28].…”

“…According to the calculation method of torsion deformation in reference [28], the torsion angle at centroid O of any cross-section, as shown in Figure 5c, can be obtained and given by:…”

“…Aiming at the problem that the mathematical model is not accurate, Fiber Bragg Grating (FBG) sensors are used to measure the deformation [21][22][23][24], because of the advantages of light weight, high sensitivity, and anti-electromagnetic interference [25][26][27]. Li et al [28] established a six-dimensional (6-D) deformation measurement system based on FBG sensors and obtained encouraging experimental results in the laboratory. However, it can only provide the deformation and cannot meet the demand of multi-antenna motion.…”