Empirical Distribution Models for Slenderness and Aspect Ratios of Core Particles of Particulate Wood Composites

Authors

  • Emmanuel K. Sackey
  • Gregory D. Smith

Keywords:

Akaike's Information Criterion, aspect ratio, core particles, particle size distribution, goodness of fit, maximum likelihood, particleboard, slenderness ratio

Abstract

Particle geometry was characterized for particleboard furnish prepared through hydrolysis of finished commercial particleboard procured from six Canadian plants. Particles samples were screened into seven particle size classes. Particles retained on 0.5-mm mesh were considered core particles and further partitioned into core-fine, medium, and coarse. Individual particles were then randomly selected for geometrical characterization and distribution fitting. About 80% of all screened particles by mass were between mesh sizes of 0.5 and 2 mm. There were significant differences in percentage screen masses of all particle sizes between plants. Masses of particle size greater than 1 mm of panels from two plants were significantly higher than the rest (0.05 α-level), whereas another plant had the highest mass of particle sizes retained on the 2-mm mesh. Particles retained on the 1-mm mesh showed the largest percentage mass variation among all plants. It was found that aspect ratio was a better geometrical indicator for predicting screw withdrawal resistance than any of the absolute dimensions, and increase in core-fine particles increases internal bond strength. Based on maximum likelihood and Akaike's Information Criterion, a log normal distribution was the best fit for all geometrical descriptors of most particle types; gamma and two-parameter Weibull were better fits for length and aspect ratio for most medium particles with gamma being the better of the two.

References

Akaike H (1973) Information theory and an extension of the maximum likelihood principle. Pages 267-281 in BN Petrov and F Csaki, eds. Second International Symposium on Information Theory, Acaderniai Kiado, Budapest.nAllen T (1981) Particle size measurement. 3rd ed. Chapman and Hall Ltd., New York, NY.nBesselt N (2005) Technical discussion at NewPro particleboard plant in Wahnam AB with the Technical Director on 9 May 2005.nBozdogan H (2000) Akaike's information criterion and recent developments in information complexity. J Math Psychol 44(1):62-91.nBurnham KP, Anderson DR (2004) Multimodel inference: Understanding AIC and BIC in model selection. Colorado Cooperative Fish and Wildlife Research Unit (USGS-BRD). Sociological Methods and Research 33(2): 261-304.nCao QV, Wu Q (2007) Characterizing wood fiber and particle length with a mixture distribution and segmented distribution. Holzforschung 61:124-130.nEasyFit Software. (2009) EasyFit Help, goodness of fit. MathWave Technologies http://www.mathwave.com'>www.mathwave.comnEusebio GA, Generalla NC (1983) Effect of particle resin adhesive distribution in particleboard manufacture of Kaatoan Bangkal [Anthocephalus chinensis (Lam.) Rich. Ex Walp.]. FPRDI Journal Vol 12(3 - 4):12-19.nGeimer RL, Evans JW, Setiabudi D (1999) Flake furnish characterization—Modeling board properties with geometric descriptors. Res Pap FPL-RP-577. USDA Forest Service, Forest Prod Lab, Madison, WI. 36 pp.nGeimer RL, Evans JW, Setiabudi D, Link CL (1988) Flake classification by image analysis Res. Pap. FPL-RP-486. USDA Forest Service, Forest Prod Lab, Madison, WI. 25 pp.nHeebink BG, Hann RA (1959) How wax and particle shape affect stability and strength of oak particleboards. For Prod J 9(7):197-203.nJMP. (2008) JMP 8 Statistical Discovery Software. SAS Institute Inc. Cary, NC.nKakaras IA, Papadopoulos AN (2004) The effects of drying temperature of wood chips upon the internal bond strength of particleboard. J Inst Wood Sci 16(5):277-279.nKelly RN, DiSante JK, Stranzl E, Kazanjian JA, Bowen P, Matsuyama T, Gabas N (2006) Graphical comparison of image analysis and laser diffraction particle size analysis data obtained from the measurements of nonspherical particle systems. AAPS PharmSciTech 7(3):E1-E14.nKhalili MA, Roricht WL, Luke LSY (2002) An investigation to determine the precision for measuring particle size distribution by laser diffraction. World Congress on Particle Technology 4, 21-25 July 2002, Sydney, Australia. Paper no. 111.nKropholler HW, Sampson WW (2001) The effect of fiber length distribution on suspension crowding. Pulp Paper Sci 27(9):301-305.nKusian R (1968) Model investigations about the influence of particle size on structural and strength properties of particle materials. II. Experimental investigations. Holztechnologie 9(4):241-248.nLaw AM, Kelton WD (2000) Simulation modeling and analysis. 3rd ed. McGraw-Hill Publishers, New York, NY. 760 pp.nLawless JF (2003) Statistical models and methods for lifetime data. John Wiley and Sons, Inc, Hoboken, NJ.nLehmann WF (1974) Properties of structural particle boards. For Prod J 24(1):19-26.nLi M, Wilkinson D, Patchigolla K (2005) Comparison of particle size distributions measured using different techniques. Particul Sci Technol 23:265-284.nLin HC, Fujimoto Y, Murase Y, Mataki Y (2002) Behaviour of acoustic emission generation during tensile tests perpendicular to the plane of particleboard II: Effects of particle sizes and moisture content of boards. J Wood Sci 48(5):374-379.nLu JZ, Monlezun CJ, Wu Q, Cao QV (2007) Fitting Weibull and lognormal distributions to medium-density fiberboard fiber and wood particle length. Wood Fiber Sci 39(1):82-94.nMahoney RJ (1980) Physical changes in wood particles induced by the particleboard hot pressing operation. Pages 213-223 in TM Maloney, ed. Proc 14th International Symposium on Particleboard, April 1980, Pullman, WA.nMaloney TM (1970) Resin distribution in layered particleboard. For Prod J 20(1):43-52.nMarra GG (1954) Discussion following article by Turner HD—Effect of particle size and shape on strength and dimensional stability of resin-bonded wood-particle panels. For Prod J 4(5):210-223.nMeeker WQ, Escobar LA (1998) Statistical method for reliability data. John Wiley & Sons, Inc, New York, NY.nNemli G (2003) Effects of some manufacturing factors on the properties of particleboard manufactured from Alder (Alnus glutinosa subs. Barbata). Turk J Agric For 27: 99-104.nPost PW (1961) Relationship of flake size and resin content to mechanical and dimensional properties of flake board. For Prod J 11(9):34-37.nSackey E, Semple K, Oh S-W, Smith GD (2008) Improving core bond strength of particleboard through particle size redistribution. Wood Fiber Sci 40(2):214-224.nSAS. (2002) The reliability procedure. SAS/QC® user's guide. SAS Institute, Inc., Cary, NC.nSemple K, Sackey E, Park HJ, Smith GD (2005) Properties variation study of furniture grade M2 particleboard manufactured in Canada. For Prod J 55(12):117-124.nShuler CE, Kelly RA (1976) Effect of flake geometry on mechanical properties of eastern spruce flake-type particleboard. For Prod J 26(6):24-31.nStanford JL, Vardeman SB (1994) Statistical methods for physical science. Vol. 28. Method of experimental physics. Academic Press, San Diego, CA.nWolcott MP, Kamke FA, Dillard DA (1994) Fundamentals aspects of wood deformation pertaining to manufacture of wood-based composites. Wood Fiber Sci 26:496-511.nYan JF (1975) A method for the interpretation of fiber length classification data. TAPPI 58(8):191-192.n

Downloads

Published

2009-07-16

Issue

Section

Research Contributions