Steps were taken to better compare and calculate the error of the results between the actual experiment and the finite element simulation. First, the load-displacement curve data of BCLT samples was fitted by
TableCurve 2D (
TableCurve 2D, Systat Software Inc, v5.01, San Jose, CA, USA), and the fitting functions were obtained as shown in Fig. 8. The correlation of the fitting function Y1 (Eq. 3) of the actual experiment was 99.95%, and the correlation of the fitting function y1 (Eq. 4) of the finite element simulation was 99.99%. Second, the load-displacement curves of BWCLT boards were fitted, and the fitting functions were obtained. The correlation of fitting function Y2 (Eq. 5) was 99.84%, and the correlation of fitting function y2 (Eq. 4) was 99.99%. Equation y2 and y1 are the same, but their coefficients are different.
y1(y2) = a + b๐ฅ 0.5 + ๐๐ฅ + ๐๐ฅ 1.5 + ๐๐ฅ 2 + ๐๐ฅ 2.5 + ๐๐ฅ 3 + โ๐ฅ 3.5 + ๐๐ฅ 4 + ๐๐ฅ 4.5 + ๐๐ฅ 5 (4) Y2 = A + B๐ฅ + ๐ถ๐ฅ 2 + ๐ท๐ฅ 3 + ๐ธ๐ฅ 4 + ๐น๐ฅ 5 + ๐บ๐ฅ 6 + ๐ป๐ฅ 7 + ๐ผ๐ฅ 8 + ๐ฝ๐ฅ 9
(5)
In Eqs. 3, 4, and 5, all the coefficients in the equation are numerical values.
Li C., Wang X., & Zhang Y. (2020). Structural design and mechanical properties analysis of bamboo-wood cross-laminated timber. BioResources, 15(3), 5417-5432.