动态杨氏模量数据处理.doc

用动态弯曲共振法测金属的杨氏模量实验数据处理班级： 信息SY1001 姓名： 龙涛学号：0121009310106 成绩:以X/L为横坐标，频率f o为纵坐标作图，在X/ L =0.224处读出节点位置的共振频率716.4HzHzAUc( f )二 Ub ( f )：730.57735Hz由（4-2-7）式■ 3E®7 d"“9.3826E+10Pa不确定度的计算：忽略修正值的不确定度Ur(E)二Uc(E)ru(m)1L m216- 亠2u(d)]- _24U(ff))0.31%Uc(E)二4(E) E2.9E+08Pa728.0727.0726.0725.0724.0723.0722.0721.0720.0719.0718.0717.0716.0715.0U(E) = 5.8x 108 Pa表4-2-1 铜柱参数表次数123456平均Ua△仪Ubuc质量M /g74.8174.8174.8174.8174.8174.8174.810.00000.100.05770.0577棒长L /mm181.66181.64181.64181.66181.64181.66181.650.00450.020.01150.0124直径d /mm7.9447.9607.9487.9307.9407.9387.9430.00420.0050.00290.0051径长比d/L =0.044表4-2-2不同支端距对应的基频共振频率支端距X/mm5101520253035404550X/ L0.0280.0550.0830.1100.1380.1650.1930.2200.2480.275频率fo/Hz：727.4721.6719.7718.6717.4716.6716.0716.2717.2表3 4-2-3基频弯曲共振圆杆、管的修正系数d/L0.020.030.040.050.060.070.080.09T1.0021.0051.0081.0141.0191.0261.0331.051由 d/L = 0.044 查表并线性插值得：T = 1.010铜棒的杨氏模量E = E° ± U(E) = ( 0.938260.0058 ) x 1011 Pa,k=2。