Dynamic Equivalent Resistance Model of Knitted Strain Sensor under In-Plane and Three-Dimensional Surfaces Elongation
Abstract
:1. Introduction
2. Materials and Methods
2.1. Materials
2.2. Sensing Performance Test
2.3. Theoretical Model
- (1)
- In the unstretched state, fabric loops are tightly abutted, and the resistance of the circuit is low. When subjected to longitudinal stretching, according to the law of resistance as given in Equation (1), the overall circuit resistance increases due to the length change.
- (2)
- When the force is stretched until loops are separated from each other, the resistance is constant at the maximum value.
- (3)
- When the fabric continues to be stressed, according to the contact resistance [23,24] theory as given in Equation (2), the contact pressure between the loops increases and the resistance decreases.
2.4. Model 1: Macro–Micro Equivalent Resistance Models Based on Length Resistance
2.5. Model 2: The Equivalent Resistance of the Knitted Sensor Based on the Topology Model
2.6. Model 3: The Equivalent Resistance of the Knitted Sensor Based on the Topology Model
3. Results
3.1. Calculation of the Macro–Micro Equivalent Resistance Model Based on Length Resistance
3.2. Calculation of the Equivalent Resistance Based on the Topology Model
3.3. Calculation of the Equivalent Resistance Model Based on the Three-Dimensional Curved Surface Strain
3.4. Fabric Cycle Test Results under In-Plane Stretching
3.5. Comparison of the Experimental Data and the Equivalent Resistance Model Calculation Results during In-Plane Stretching
3.6. Comparison of the In-Plane Tensile Test Results and the Equivalent Resistance Calculation Results of the Topology Model
3.7. Comparison of Three-Dimensional Strain Equivalent Resistance Model and Test Results
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Sum of Squares | df | Mean Square | F | p Value | |
---|---|---|---|---|---|
Regression | 6081.70 | 50 | 121.63 | 0.688 | 0.95 |
Residual | 4,326,928.20 | 24471 | 176.81 | ||
Total | 433,009.90 | 24521 |
Unstandardized Coefficients | Standardized Coefficients | t | p | F | |||
---|---|---|---|---|---|---|---|
B | Std. Error | Beta | |||||
Constant | −0.235 | 0.026 | - | −8.959 | 0 | 0.975 | 39,060.82 |
Fitting resistance | 1.084 | 0.005 | 0.987 | 197.638 | 0 |
Unstandardized Coefficients | Standardized Coefficients | t | p | R2 | F | ||
---|---|---|---|---|---|---|---|
B | Std. Error | Beta | |||||
Constant | −15.801 | 0.082 | - | −92.94 | 0 | 0.99 | 43,544.393 |
Fitting resistance | 16.965 | 0.081 | 0.99 | 208.67 | 0 |
Unstandardized Coefficients | Standardized Coefficients | t | p | R2 | F | ||
---|---|---|---|---|---|---|---|
B | Std. Error | Beta | |||||
Constant | 0.218 | 0.005 | - | 41.265 | 0 | 0.867 | 366,274.18 |
Fitting resistance | 0.888 | 0.001 | 0.99 | 605.26 | 0 |
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Li, Y.; Ma, P.; Tian, M.; Yu, M. Dynamic Equivalent Resistance Model of Knitted Strain Sensor under In-Plane and Three-Dimensional Surfaces Elongation. Polymers 2022, 14, 2839. https://doi.org/10.3390/polym14142839
Li Y, Ma P, Tian M, Yu M. Dynamic Equivalent Resistance Model of Knitted Strain Sensor under In-Plane and Three-Dimensional Surfaces Elongation. Polymers. 2022; 14(14):2839. https://doi.org/10.3390/polym14142839
Chicago/Turabian StyleLi, Yutian, Pibo Ma, Mingwei Tian, and Miao Yu. 2022. "Dynamic Equivalent Resistance Model of Knitted Strain Sensor under In-Plane and Three-Dimensional Surfaces Elongation" Polymers 14, no. 14: 2839. https://doi.org/10.3390/polym14142839