Advances in Materials Science and Engineering
7
3.0
Drop direction
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1.5
1.0
A
B Figure 17: The drop test model with different flute angle 𝜃 .
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30 40 50 60 70 80 90 100 110 120
Flute angle ( ∘ )
A B
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Figure 19: Maximum stress of A, B point in the models with different flute angle in the drop test.
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point in the models with different flute angle 𝜃 in the drop test were obtained and the results are shown in Figure 19. From Figure 19, we can see, that with the increase of flute angle, the maximum stress of the model in the drop test decreases firstly and then increases. The maximum stress of the corrugated board bears is smallest when the flute angle 𝜃 reaches 60 ∘ . The reason is that the stress of the corrugated board could be dispersed to the flute structure efficiently and then reduces the maximum stress of the corrugated board in drop test. Therefore, the optimal flute angle 𝜃 could be 60 ∘ for corrugated board. This conclusion is consistent with the conclusions of Section 3.4. 4. Conclusions The shape and size of flute have an important effect on the performance of corrugated cardboard. In this paper, the non- linear finite element analysis of the fluted corrugated sheet in the corrugated cardboard based on software SolidWorks2008 was investigated. The obtained conclusions are as follow. (1) According to the static pressure test, with the flute height 𝐻 increased, the maximum stress in the models decreased and the maximum displacement increased. (2) According to the static pressure test, with the arc radius of flute increased, the maximum stress in the models decreased and the maximum displacement increased. (3) According to the static pressure test, with the increase of the flute angle 𝜃 , the maximum stress and max- imum displacement in the models increase nonlin- early. The optimal flute angle 𝜃 couldbe60 ∘ forcorru- gated board.
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0.00 1.18 124.94 240.70 360.46 480.22 599.98 Time ( 𝜇 s) A B Figure 18: Time-dependent stress of A, B point in drop test (model with flute angle 𝜃 of 40 ∘ ). 3.5.2. Flute Angle 𝜃 . Effects of flute angle 𝜃 on the dynamic mechanical properties of corrugated cardboard model in the drop test based on Cosmos/Works were investigated. A series of models with different flute angle 𝜃 were built and shown in Figure 11. The flute angles 𝜃 in models are 40, 50, 60, 80, and 100 ∘ . The drop test model was shown in Figure 17. Drop height is 0.3 m, initial velocity is 0 m/s, acceleration of gravity is9.81m/s 2 , and impact time is 600 𝜇 s. The stress distribution of corrugated cardboard was obtained and we have found that the maximum stress occurs in the point which fluted corrugated sheet contact with the ground in all cases. So we selected 2 points (A and B point as shown in Figure 17) from the model as the object of study in the drop test. Then the time-dependent stress of A, B point in the drop test was obtained and shown in Figure 18 (model with flute angle 𝜃 of 40 ∘ ). From above simulation, the maximum stresses of A, B
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