预应力混凝土梁自振频率的疲劳演变
杜永潇,卫军,孙晓立

Fatigue evolution of natural frequency for prestressed concrete beam
Yong-xiao DU,Jun WEI,Xiao-li SUN
表 2 梁PCB-MPD-CFL-1疲劳过程理论频率及实测频率的汇总表
Tab.2 Summary of theoretical frequencies and measured frequencies of beam PCB-MPD-CFL-1
N/104 we(N)/Hz wE(N)/Hz
第1阶 第2阶 第3阶 第1阶 第2阶 第3阶
0 27.344 75.543 141.933 26.240(−4.04%) 104.961(38.94%) 236.161(66.39%)
1 26.137 72.591 138.184 25.798(−1.30%) 103.190(42.15%) 232.178(68.02%)
5 26.344 73.242 139.039 25.183(−4.41%) 100.733(37.53%) 226.650(63.01%)
9 25.996 72.429 137.207 24.975(−3.93%) 99.898(37.93%) 224.771(63.82%)
40 25.943 72.266 136.719 24.650(−4.98%) 98.602(36.44%) 221.854(62.27%)
60 25.855 71.777 136.067 24.501(−5.24%) 98.003(36.54%) 220.508(62.06%)
100 25.557 71.435 135.742 24.406(−4.50%) 97.624(36.66%) 219.654(61.82%)
150 25.367 71.289 134.440 23.286(−8.20%) 93.144(30.66%) 209.575(55.89%)
200 24.879 69.824 131.673 22.760(−8.52%) 91.041(30.39%) 204.842(55.57%)
240.6 24.414 69.513 130.964 21.916(−10.23%) 87.664(26.11%) 197.243(50.61%)
248.3 23.958 68.271 128.654 20.416(−14.78%) 81.665(19.62%) 183.747(42.82%)
N/104 wT(N)/Hz wP(N)/Hz
第1阶 第2阶 第3阶 第1阶 第2阶 第3阶
0 25.279(−7.55%) 89.586(18.59%) 158.329(11.55%) 26.249(−4.01%) 104.961(38.94%) 236.161(66.39%)
1 24.885(−4.79%) 88.581(22.03%) 158.218(14.50%) 25.806 (−1.27%) 103.190(42.15%) 232.178(68.02%)
5 24.334(−7.63%) 87.143(18.98%) 157.848(13.53%) 25.192 (−4.37%) 100.733(37.53%) 226.650(63.01%)
9 24.146(−7.12%) 86.643(19.63%) 157.666(14.91%) 24.983(−3.90%) 99.898(37.93%) 224.771(63.82%)
40 23.854(−8.05%) 85.856(18.81%) 157.328(15.07%) 24.659 (−4.95%) 98.602(36.44%) 221.854(62.27%)
60 23.719(−8.26%) 85.488(19.10%) 157.149(15.49%) 24.510 (−5.20%) 98.003(36.54%) 220.508(62.06%)
100 23.633(−7.53%) 85.254(19.34%) 157.029(15.68%) 24.415 (−4.47%) 97.624(36.66%) 219.654(61.82%)
150 22.615(−10.85%) 82.400(15.59%) 155.181(15.43%) 23.295 (−8.17%) 93.144(30.66%) 209.575(55.89%)
200 22.133(−11.04%) 81.008(16.02%) 154.051(16.99%) 22.770 (−8.48%) 91.041(30.39%) 204.842(55.57%)
240.6 21.356(−12.53%) 78.706(13.23%) 151.897(15.98%) 21.925 (−10.19%) 87.664(26.11%) 197.243(50.61%)
248.3 19.964(−16.67%) 74.424(9.01%) 147.087(14.33%) 20.426 (−14.74%) 81.665(19.62%) 183.747(42.82%)