动态悬挂法测杨氏模量数据处理参考范例1.数据记录表1各测量量测量值样品L (mm) A (mm)m (g )A mm( g ) f1 (Hz )A (Hz)mf1黄铜0.050.010.1不锈钢0.050.011表2样品直径测量值黄铜直径A (mm)不锈钢直径A (mm)次数d (mm )d (mm)10.0050.005234562.数据处理(1)黄铜：A 0.05——m — —— 0.029mmL.侦3 、3气1 = 0.0033 gu — u — Am — 01 — 0.058HzB <3 <3[:用肖维涅准则检查无坏值出现d — 5.998mm—k s — 1.11 x 0.017 — 0.019mmAm 0.005——^ ———— 0.0029mm<3 <3(uA + uB = <0.0192 + 0.00292 — 0.020mmLmf 2 (160.00 x10-3) x 37.93 x10-3 x 701.02.998 x10-3d 4—9.477 x 1010 Nm2、2+¥+ 2,0.029 V +'3 x / k 160.00)(0.0033 Vk 37.93 )k fJ+ f 2 x 些 f k 701.0)九 0.020)+ 4 xk 5.998)= 1.3%则〃 =YxE = 9.477 xlOio x 1.3% = 0.13 xlOio N/'qY ''(2)不锈钢L.A 0.05 八 e=—st = —-=r = 0.029mm^3 y/3△ 0尹=0.0033g—nr 3=—nr ==—= ~^= = 0.58HzV3 V3J1.6067、f=1.6067x—TTTJ(3X 160.00 J(0.0033 VI 34.43 ；17(0.58)+ 2x "1014)(/ 0.025 )+ 4x "5.945)1:d:用肖维涅准则检查无坏值出现d = 5.945mm=k s- =1.11x0.021 = 0.024mm P XAm 0.005 „ mcc==——= 0.0029mmu — Ju + ll ~ = J0.0242 + 0.00292 = 0.025mmV A B ,60.00 xl0-3)x 34.43 x 10 3 x 10142(5.945x10-3)=1.865xl0ii N/m^= 1.7%w =YxE = 1.865 xlOii x 1.7% = 0.032 xlOii n/q 则Y Y3.实验结果(1)室温下测得黄铜样品的杨氏模量为：y =(9.5 ±0.2)x 1010 A^/m2(一 = 0.683)E =1.3%(2)裁温下测得不锈钢样品的杨氏模量为：Y = (1.86±0.04)xl0n N/m2 侦= 0.683)E =1.7% 备注：不确定度u在计算过程中保留两位有效数字，在最后计算结果中保留一位有效数字。