Skip to main content
SpringerLink
Log in

Fitting an equation to vertical density profile data using Fourier analysis

Kurvenanpassung vertikaler Dichteprofile von Spanplatten mittels Fourier-Analyse

  • Published:
Holz als Roh- und Werkstoff Aims and scope Submit manuscript

Abstract

This paper describes the application of the Fourier analysis to fit a mathematical expression to the vertical density profile data of flakeboard. This was achieved first by performing the Fourier transform of the density profile data, and then by synthesizing the mathematical equation in the form of cosines based on the transform output. Two sets of density profile data were used in this analysis, and a good fit of the vertical density profile was obtained for each case.

Zusammenfassung

Mit Hilfe der Fourier-Analyse wurde ein mathematischer Ausdruck gefunden, der es erlaubt, Dichteprofile von Spanplatten zu beschreiben. Zunächst wurden experimentelle Daten mittels FT-Analyse untersucht. Daraus ergab sich eine Cosinus-Funktion der Dichte-Variablen, die eine gute Anpassung an experimentelle Daten liefert.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

5 References

  • Kelly, M. W. 1977: Critical literature review of relationship between processing parameters and physical properties of particleboard. USDA Forest Serv., Forest Prod. Lab., General Technical Report FPL-10

  • Lynn, P. A.; Fuerst, W. 1989: Introductory digital signal processing with computer applications. John Wiley & Sons

  • May, H. A. 1983: Relations between properties, raw materials and the distribution of density in particleboards. Part 5. Effects of density distribution and raw materials on MOE and MOR. Holz Roh- Werkstoff 41:369–374

    Article  Google Scholar 

  • McFarland, D. L. 1992: Internal density variation of hot-pressed wood panels in response to changes in flake moisture content and press closure rate. M.Sc. thesis. The University of Tennessee, Knoxville, TN. 518 pp

    Google Scholar 

  • Plath, L. 1971: A contribution on particleboard mechanics. Holz Roh-Werkstoff 32 (11): 443–449

    Article  Google Scholar 

  • Suchsland, O. 1962: The density distribution of flakeboards. Michigan Agric. Exp. Station. Quarterly Bulletin. 45 (1): 104–121. Michigan State University

    Google Scholar 

  • Suo, S.; Bowyer, J. 1995: Modeling of strength properties of structural particleboard. Wood Fiber Sei. 27 (1): 84–94

    CAS  Google Scholar 

  • Suo, S.; Bowyer, J. 1994: Simulation modeling of particleboard density profile. Wood Fiber Sei. 26 (3): 397–411

    Google Scholar 

  • Wang, Y. T.; Foschi, R. O. 1992: Random field stiffness properties and reliability of laminated wood beams. Structural Safety 11: 191–202

    Article  Google Scholar 

  • Winistorfer, P.; Young, T.; Walker, E, 1996: Modeling and comparing vertical density profiles. Wood Fiber Sei. In press

  • Winistorfer, P. M.; Davis, W. C.; Moschler, W. W. 1986: A direct scanning densitometer to measure density profiles in wood composite products. Forest Prod. J. 36 (11): 82–86

    Google Scholar 

  • Wolcott, M. P.; Kamke, F. A.; Dillard, D. A. 1990: Fundamentals of flakeboard manufacture: Viscoelastic behavior of the wood component. Wood Fiber Sei. 22 (4): 345–361

    CAS  Google Scholar 

  • Xu, W.; Winistorfer, P. M. 1995a: Layer thickness swell and layer internal bond of medium density fiberboard and oriented Strandboard. Forest Prod. J. 45 (10). In press

  • Xu, W.; Winistorfer, P. M. 1995b: A procedure to determine thickness swell distribution in wood composite panels. Wood Fiber Sei. 27 (2): 119–125

    CAS  Google Scholar 

  • SAS Institute Inc. 1993: User’s Guide for SAS/INSIGHT. Cary, NC, USA

    Google Scholar 

  • SYSTAT Inc. 1993: The system for Statistics. Evanston, IL, USA

Download references

Author information

Authors and Affiliations

  1. Department of Forestry, Wildlife and Fisheries, Institute of Agriculture, The University of Tennessee, P.O. Box 1071, 37901-1071, Knoxville, TN, USA

    W. Xu & P. M. Winistorfer

Authors
  1. W. Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. M. Winistorfer
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was supported by the Tennessee Agricultural Experiment Station, Project MS-48. The authors would like to thank David L. McFarland, formerly graduate research assistant at the University of Tennessee and currently Technical Director with Weyerhaeuser Corporation at Klamath Falls, Oregon for the laboratory work that led to the data set.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xu, W., Winistorfer, P.M. Fitting an equation to vertical density profile data using Fourier analysis. Holz als Roh- und Werkstoff 54, 57–59 (1996). https://doi.org/10.1007/s001070050134

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s001070050134

Keywords

Search

Navigation