FOSS-Based Method for Thin-Walled Structure Deformation Perception and Shape Reconstruction
Abstract
:1. Introduction
- (1)
- For the problem of sensor arrangement in thin-walled structures, the idea of using double FBGs for each measuring point is proposed to improve the accuracy of deformation perception of thin-walled structures, and the influence of sensor placement on the accuracy of deformation prediction is quantitatively analyzed by using the Ansys finite-element model;
- (2)
- For the problem of outliers in the measurement process, the OCSVM (one-class support vector machine) model is used, which not only effectively eliminates the outliers and ensures the accuracy of shape reconstruction, but also provides a basis for judging abnormal conditions such as structural damage;
- (3)
- Aiming at the shape-reconstruction error of thin-walled structures, analyze the prediction error of the neural network model, and the calculation error of the interpolation method for the shape-reconstruction error of thin-walled structures in this paper, and provide a reliable basis for improving the accuracy of the shape-reconstruction method.
2. FOSS and System Simulation
2.1. FBG Sensor Layout
2.2. Simulation of Deformation Perception System Based on FOSS
3. Machine Learning Methods
3.1. Data Preparation
3.2. Data Preprocessing
3.3. Establishment of the BP Neural Network Model
3.3.1. Model Selection
3.3.2. Hyperparameter Setting
3.3.3. Model Evaluation
3.4. Prediction of New Samples
4. Experiments and Results
5. Discussion
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Fx (mm) | Fy (mm) | Force (N) | Tx (mm) | Ty (mm) | Torque (N × mm) | |
---|---|---|---|---|---|---|
Load 1 | 0 | 100 | 300 | 1 | 0 | 50,000 |
Load 2 | 66.9 | 44.6 | −275.964 | 1.486 | 2.229 | 10,000 |
Load 3 | 67.11 | 44.74 | 40.58549 | 1.503333 | 2.255 | 225.5 |
Load 4 | 279.48 | 186.32 | 425.8678 | 6.210667 | 9.316 | 931.6 |
Load 5 | 0 | 100 | 300 | 0 | 0 | 0 |
Load 6 | 0 | 0 | 0 | 0 | 0 | 40,000 |
Angle Combination 1 | Angle Combination 2 | Angle Combination 3 | Angle Combination 4 | Angle Combination 5 | Angle Combination 6 | Angle Combination 7 | Angle Combination 8 | Angle Combination 9 | Angle Combination 10 | |
---|---|---|---|---|---|---|---|---|---|---|
0 | 10 | 20 | 30 | 40 | 15 | 30 | 45 | 60 | 80 | |
90 | −80 | −70 | −60 | −50 | −15 | −30 | −45 | −60 | −80 |
x (mm) | y (mm) | Numerical Value (N) | |
---|---|---|---|
Force | 104 | 156 | −1500.7 (N) |
Torque | 0 | 0 | −728.77 (N mm) |
Measuring Point 2 | Measuring Point 5 | Measuring Point 9 | Measuring Point 16 | ||
---|---|---|---|---|---|
x (m) | Theoretical value | 5.43 × 10−6 | 5.50 × 10−6 | 5.50 × 10−6 | 5.19 × 10−6 |
Predicted value | 3.52 × 10−6 | 3.49 × 10−6 | 3.42 × 10−6 | 3.41 × 10−6 | |
Percentage of error (%) | 35.2 | 36.5 | 37.8 | 34.3 | |
y (m) | Theoretical value | 6.72 × 10−8 | 1.41 × 10−7 | 3.16 × 10−7 | 6.47 × 10−7 |
Predicted value | 3.81 × 10−8 | 2.01 × 10−7 | 2.20 × 10−7 | 6.71 × 10−7 | |
Percentage of error (%) | 43.3 | 42.6 | 30.3 | 3.7 | |
z (m) | Theoretical value | 0.1195 | 0.0946 | 0.0699 | 0.0442 |
Predicted value | 0.1123 | 0.0861 | 0.0638 | 0.0388 | |
Percentage of error (%) | 6.03 | 8.98 | 9.29 | 12.22 |
Measuring Point | State | Axis | Reconstruction Value (cm) | Measured Value (cm) | Error (%) |
---|---|---|---|---|---|
measuring point 1 | State I | x-axis | 26.939 | 26.999 | 0.22 |
z-axis | −1.83 | −1.65 | 10.9 | ||
State II | x-axis | 26.759 | 26.998 | 0.88 | |
z-axis | −3.76 | −3.48 | 8.05 | ||
State III | x-axis | 26.455 | 26.99 | 1.98 | |
z-axis | −5.7 | −5.37 | 6.15 | ||
measuring point 5 | State I | x-axis | 21.951 | 21.999 | 0.21 |
z-axis | −1.471 | −1.729 | 14.92 | ||
State II | x-axis | 21.804 | 21.999 | 0.89 | |
z-axis | −2.93 | −2.678 | 9.41 | ||
State III | x-axis | 21.556 | 21.998 | 2.01 | |
z-axis | −4.392 | −4.107 | 6.94 |
Measuring Point | State | Axis | Reconstruction Value (cm) | Measured Value (cm) | Error (%) |
---|---|---|---|---|---|
measuring point 1 | State IV | x-axis | 26.895 | 26.789 | 0.4 |
y-axis | 0.502 | 0.712 | 29.49 | ||
z-axis | 1.269 | 1.477 | 14.08 | ||
State V | x-axis | 26.745 | 26.465 | 1.06 | |
y-axis | 0.852 | 0.974 | 12.53 | ||
z-axis | 2.661 | 2.897 | 8.15 | ||
State VI | x-axis | 26.595 | 26.228 | 1.4 | |
y-axis | 0.952 | 1.014 | 6.11 | ||
z-axis | 3.997 | 4.059 | 1.5 | ||
measuring point 5 | State IV | x-axis | 21.937 | 21.737 | 0.92 |
y-axis | 19.799 | 19.574 | 1.15 | ||
z-axis | −0.936 | −1.108 | 15.52 | ||
State V | x-axis | 21.736 | 21.423 | 1.46 | |
y-axis | 19.599 | 19.418 | 0.93 | ||
z-axis | −1.524 | −1.769 | 13.85 | ||
State VI | x-axis | 21.586 | 21.286 | 1.41 | |
y-axis | 19.198 | 18.898 | 1.59 | ||
z-axis | −2.45 | −2.67 | 8.24 |
X (%) | Y (%) | Z (%) | ||||
---|---|---|---|---|---|---|
Max | Min | Max | Min | Max | Min | |
Error after method improvement | 2.01 | 0.22 | 29.49 | 1.15 | 15.52 | 1.50 |
Error prior method improvement | 2.33 | 0.8 | 35.59 | 9.46 | 16.21 | 1.62 |
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Wu, H.; Dong, R.; Xu, Q.; Liu, Z.; Liang, L. FOSS-Based Method for Thin-Walled Structure Deformation Perception and Shape Reconstruction. Micromachines 2023, 14, 794. https://doi.org/10.3390/mi14040794
Wu H, Dong R, Xu Q, Liu Z, Liang L. FOSS-Based Method for Thin-Walled Structure Deformation Perception and Shape Reconstruction. Micromachines. 2023; 14(4):794. https://doi.org/10.3390/mi14040794
Chicago/Turabian StyleWu, Huifeng, Rui Dong, Qiwei Xu, Zheng Liu, and Lei Liang. 2023. "FOSS-Based Method for Thin-Walled Structure Deformation Perception and Shape Reconstruction" Micromachines 14, no. 4: 794. https://doi.org/10.3390/mi14040794