用霍尔传感器测量杨氏模量实验数据处理参考

1、用霍尔传感器测量杨氏模量实验数据记录和数据处理（参考答案）铜片宽度b=23.28mm，铁片宽度b=23.10 mm,长度d=230.0 mm表1黄铜片厚度的测量n123456平均值a /mm0.9590.9590.9600.9580.9520.9420.955im / gZ /mmU. /mV逐差法曲/mmZ2 /mmiZ u. /mVmm110.00.1201050.5700.014412.60220.00.2622100.5680.068655.02330.00.4203160.5610.1764132.72440.00.5704330.5650.3249246.81550.00.6905

2、440.4761375.36660.00.8306440.6889534.52770.00.9817530.9624738.69880.01.1358701.2882987.45平均值0.626484.380.5660.49999385.40表2测量黄铜样品的杨氏模量，霍尔传感器定标d3 - M - g(230.0 x 10-3)3 x 40.0 x 10-3 x9.788铜4a 3 - b -AZ 4 x (0.955 x 10-3 )3 x 23.28 x 10-3 x 0.566 x 10-3 10.38(x1010 N/m2)理论值 E 铜=10.55x1010N/m2相对误差Ee相对

3、误差Ee10.38-10.55105 x1% =L6%计算霍尔位置传感器的灵敏度AU ZU 计算霍尔位置传感器的灵敏度AU ZU Z -U用最小一乘法：K = = = 一 3AZ Z 2 - Z /385.4 0.626 x 484.400.500 0.6262=760(mV/mm)或者作图法:0.0000.100 0.2000.3000.4000.500 0.6000.7000.8000.900 1.0001.1001.200或者作图法:0.0000.100 0.2000.3000.4000.500 0.6000.7000.8000.900 1.0001.1001.200A(0.200，16

4、0)A(0.200，160)B(1.100，850)B(1.100，850)表3铁片厚度的测量n123456平均值a /mm0.8870.8750.8730.8880.8810.8760.880表4测量可锻铸铁样品的杨氏模量im / gU /mV逐差法AU /mV110.082308220.0158312330.0232308440.0304316550.0390660.0470770.0540880.0620311K = K = UUZB - za850 1601.100 0.200康=4Z AU = 4(308 + 312 + 308 + 316) = 3119(mV) ,AZ =牛 , 最小二乘法K=760(mV/mm)18.28(x1010厂 d3 - M - g - K(230.0 x 10-3)3 x 40.0 x 10-3 x 9.788 x 18.28(x1010E =铁4a 3 - b -AU4 x (0.880 x 10-3 )3 x 23.10 x 10-3 x 0.4145 x 10-3 x 311N/m2)理论值 E 铁=18.15x1010N/m2相对误差 E = 18-28-18-15l x 100% = 0.7%E铁18.15