Abstract
A model to predict the bending modulus of elasticity (MOE) of oriented strand board (OSB) panels produced by batch processing is presented. The approach developed herein is unique in its comprehensiveness since the MOE is determined from information on the panel structure, temperature and moisture profiles and vertical density profiles obtained from the mat formation and compression models presented in Part 1. Comparison of predicted MOE values with those measured from 24 commercially produced panels shows good agreement considering some of the uncertainties involved. Simulations show that the MOE can be increased by any of the following changes: reduced fines content, increased panel density, better flake alignment in each of the three layers within a panel, increased flake length and a larger difference between the density of the face and core layers. The model was also used in a genetic algorithm to carry out an optimization study of batch OSB manufacturing. This analysis showed that by combining the appropriate reduction in the amount of flakes used, increase in fines content, improvement in flake alignment within each of the face and core layers and shortening of the batch time, a significant theoretical profit increase from the base case scenario can be obtained.
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Abbreviations
- a b :
-
total board area in the (x,y) plane (m2)
- E :
-
Young’s modulus of OSB (Pa)
- HDD (x,y) :
-
local density over board thickness at each (x,y) position (kg m-3)
- k i :
-
coefficients reflecting different costs
- mc :
-
mass fraction of moisture in OSB
- M fines :
-
mass fraction of fines in OSB
- M face :
-
mass fraction of face layer
- MOE:
-
modulus of elasticity (psi)
- n :
-
number of nodes
- t :
-
time (s)
- T(x,y,z) :
-
temperature at (x,y,z) position within board (°C)
- VDP :
-
density profile along the board thickness (kg m-3)
- V :
-
volume of layer after compression
- x :
-
coordinate along the direction of board length (m)
- y :
-
coordinate along the direction of board width (m)
- z:
-
coordinate along the direction of board thickness (m)
- ε i :
-
strain within board interval i along the z-direction over which board is discretized to model compression
- ε y :
-
yield strain of OSB
- θ(t) :
-
board thickness at time t (m)
- θ E :
-
board thickness at end of pressing cycle (m)
- ρ(t) :
-
density of OSB at time t (kg m-3)
- ρ f :
-
density of wood flake (kg m-3)
- χ :
-
extent of curing (%)
- μ :
-
flake length
- E :
-
end of cycle
- para:
-
in the parallel direction
- perp:
-
in the perpendicular direction
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Acknowledgement
The authors acknowledge the financial support of the Natural Sciences and Engineering Research Council of Canada (NSERC) during the course of this project.
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Painter, G., Budman, H. & Pritzker, M. Prediction of oriented strand board properties from mat formation and compression operating conditions. Part 2: MOE prediction and process optimization. Wood Sci Technol 40, 291–307 (2006). https://doi.org/10.1007/s00226-005-0050-9
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DOI: https://doi.org/10.1007/s00226-005-0050-9