Test and calibration of the resistive sensors FlexiForce®. 1. Task, employed sensors and tooling. For measurement of the weight of the Barrel it is necessary the load sensors. It is need to measure weight of the Barrel at 4 points; each point should be carry till 600kg with precision 20kg. The resistive FlexiForce sensors (Tekscan Inc.) were offered, see fig. 1. On this figure sensors HT201, A201 and sample custom #1207 are shown. HT201 A201 #1207 fig. 1 FlexiForce sensors. Technical parameters of sensors shown in the table table 1 Thickness Sensing area A201 and HT201 #1207 Substrate Standard force range Linearity Repeatability Hysteresis Drift Response time Non-destructive pressure 0.208mm 9.53 mm diameter 26 mm diameter Polyester 0-100 lb < ±5% < ±2.5% of full scale < 4.5% of full scale < 3% of logarithmic time scale < 5 µsec 10 000 PSI (lb per square inch) Based on this value of non-destructive pressure we can calculate maximum power for sensor F = 10000PSI * 0.078inch2 = 780lb ≈ 3500N, where 0.078inch2 is square of the puck diameter 8mm. Puck is using for distribute of loading to working area. Recommend circuit for measurement of the FlexiForce sensors shown in fig. 2. Reference resistance is Rref = 20kOm, reference voltage is Vref = 1Volt. Output voltage read by PC and calculated the value 1/RFlexiForce which should have linear depentanizer of the loading. Rref Vref RFlexiForce Vout + fig. 2 Measurement circuit. As the etalon pressure sensor the digital force gauge Mecmesin was used. This tooling was calibrated at CERN metrology lab using UTS test system. Calibration plot is shown in fig. 3. verification of mecmesin 12000 10000 mecmesin, N 8000 series 1 6000 series 2 series 3 4000 series 4 2000 0 0 2000 4000 6000 8000 10000 UTS, N fig. 3 Verification of Mecmesin force gauge. For calibrate FlexiForce sensors the tooling shown in fig. 4 was employed. 12000 fig. 4 The tooling for calibration of sensors. The Mecmesin gauge and FlexiForce sensors clamped between bench-vice grips. The puck glued on the FlexiForce sensor and clamped between two metal plates with plane surfaces. 2. The measurement results. The purpose of the measurement was calibrating of FlexiForce sensors and understanding of the “training” process. Important feature of the sensors is what it should be conditioned before using. To condition a sensor it should be load for 110% of maximum measuring value 4-5 times. Typical calibration curve acquired when measurement shown in fig. 5. Sensor #1 FlexiForce calibration curve 0.2 0.18 0.16 1/R, kOm-1 0.14 0.12 0.1 0.08 0.06 0.04 0.02 0 0 500 1000 1500 2000 Pressure, N 2500 fig. 5 The calibration curve for sensor #1. It is seen that hysteresis amount to 10% and nonlinearity is present. 3000 3500 For understanding of conditioning process it was made set of measurements of the nonconditioned (new one) sensor. Sensor was loaded till ~3000N and then unloaded any times. In each such cycle value 1/RFlexiForce was recorded at maximum load. The measurement results for sensor #4 are shown in fig. 6. Yellow curve shows quotient of FlexiForce 1/R by loading force. Factor 3000 is for bringing to scale only (right Y-axis). Sensor #4, load-unload training maximum load in each pass 3500 0.45 3000 0.4 0.35 2000 1500 0.3 FlexiForce, kOm-1 mecmesin, N 2500 1000 mecmesin 500 0.25 FlexiForce FF/MM*3000 0 0.2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 measurements fig. 6 Conditioning of the sensor #4. It is seen that first 5 times it was big drift of 1/R value. Then drift becomes less to 1% per measurement. In spite of big number of cycles there was not obtain horizontal line. Points from #14 to #22 and from #28 till #40 is reading at lower pressure (2700N instead of 3000N) for examination of postulate that conditioning should be at 110% of maximum measured loading. Evidently drift is present. Drift doesn’t depend on a measuring time, and it depends on amount of loading cycles. It confirmed by the next fact. Time interval between points ##34 and 36 is more than 12 hours, whereas delays between other points 1-2 minutes. Sensor remains under pressure ~2500N after measuring at point #34 till point #36. For confirmation of independence drift on time special measurement was made. Sensor A201 was loading with force 3000N and data were reading with 10sec time interval. Results shown at plots (see fig. 7 and fig. 8). The yellow curve shows quotient 1/R value by applied force as in previous plot. Apparently transition processes is finishing at first seconds after loading. Sensor response by time 0.3 3500 0.25 3000 2000 0.15 1500 0.1 FlexiForce force, N 1/R, kOm-1 2500 0.2 1000 mecmesin, N 0.05 500 0 0 1000 2000 3000 4000 5000 6000 7000 0 8000 time, sec fig. 7 0.3 4000 0.25 3500 0.2 3000 0.15 2500 FlexiForce 0.1 2000 FF/MM*3000 mecmesin, N 0.05 1500 0 1000 0 10 20 30 40 time, sec fig. 8 50 60 70 80 mecmesin, N 1/Rff, kOm-1 Sensor response by time With the purpose of decreasing unit pressure the sensor sample custom was used also. This sensor #1207 has a sensing area 27mm diameter. Puck which used was 20mm diameter. Maximum force in this case can calculated as F = 10000PSI * 0.487inch2 = 4870lb ≈ 21700N, where 0.487 inch2 is square of sensing area under puck. This sensor was calibrated with pressure till ~2000N after conditioning 6 times with pressure 2540N. Results are shown in fig. 9. FlexiForce #7 y = 0.0024x + 0.2228 2080 0.255 2070 0.25 2060 0.245 0.24 2040 0.235 2030 0.23 2020 0.225 2010 mecmesin, N 2000 FlexiForce, kOm-1 FF/MM*2000 mecmesin, N 2050 0.22 FlexiForce, kOm-1 0.215 FF/MM*2000 1990 Linear (FF/MM*2000) 0.21 1980 1970 0.205 1 2 3 4 5 6 7 8 9 10 11 measurements fig. 9 Results of a test FlexiForce sensor sample custom #1207. The drift is present and can be estimated as gradient of fit line as 2.4x10-3. It’s about 0.25%. Also the sensor A201 tested with maximum load till 480N. Sensor was previously conditioned 5 times with load 2560N. Sensor was measured 10 times with 2000N and 12 times with 480N. Data are shown in fig. 10 and fig. 11. 2100 0.146 2080 0.144 2060 0.142 2040 0.14 2020 0.138 2000 0.136 1980 0.134 mecmesin 1960 0.132 FlexiForce #6 1940 FF/MM*3000 0.13 1920 Linear (FF/MM*3000) 0.128 1900 1/R FlexiForce, kOm-1 F mecmesin, N loading of FlexiForce #6 after training at 2500N max load 2000N y = 0.0011x + 0.1332 0.126 1 2 3 4 5 6 7 measurements 8 9 10 fig. 10 y = 4E-05x + 0.0528 490 0.056 480 0.054 470 0.052 460 0.05 450 0.048 mecmesin, N 440 0.046 1/R FlexiForce, kOm-1 F mecmesin, N loading of FlexiForce #6 max load 480N FexiForce, kOm-1 FF/MM*500 430 0.044 Linear (FF/MM*500) 420 0.042 1 2 3 4 5 6 7 8 measurements 9 10 11 12 fig. 11 The drift with high loading (2000N) is 0.011 and with loading 480N is only 4x10-5. The sensor behavior is good at pressure till 480N (100 lb for this sensing area) and sensor haven’t good repeatability at higher loading. 3. Conclusion. The FlexiForce resistive sensors have important properties: … The FlexiForce sensors have stable characteristics in range of loading 0-100 lb. In the range 0-1000 lb sensors have a drift, i.e. changing of the response by each loading. Before the first using and when sensor didn’t use several weeks it needs to recalibrate sensor.