Table 2: Results of the three analysis methods for hybrid beams.

Beam depth, /mmNumberNo. of CFRP layersInitial velocity, /m s−1Test results, /mmAnalytical solutions, /mmFE analysis, /mmRelative error of analytical solutionRelative error of FEA

6115412.8216.6220.7929.64%62.17%
216320.9819.8126.12−5.58%24.50%
335010.7613.3811.8124.35%9.76%
436120.2716.8716.49−16.77%−18.65%
55467.8011.4110.6546.28%36.54%
656120.2715.9217.14−21.46%−15.44%

10716025.0322.8228.06−8.83%12.11%
835722.0119.2823.39−12.40%6.27%
955718.9918.5410.68−2.37%−43.76%

121014919.2017.9721.55−6.41%12.24%
1117133.7228.1633.51−16.49%−0.62%
1234718.0014.8913.11−17.28%−27.17%
1337132.5224.8232.40−23.68%−0.37%
1455017.1615.5711.74−9.27%−31.59%
1557030.3623.6230.93−22.20%1.88%