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Theoretical and experimental analysis of circular saw tensioning

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Summary

Tensioning is the saw prestressing procedure most commonly used in the forest products industry to increase the stability of thin circular saws. This procedure stiffens the saw blade by introducing favorable in-plane residual stresses either by local plastic deformation or by local heating. In industry today, rolling is the standard procedure for introducing such stresses.

The first part of this paper is concerned with a method of tension evaluation. The method examined consists of measuring saw blade modal stiffness, and it correlates the elastic stiffness of the saw, which approximates the vibration modes, and the natural frequencies associated with these modes. The predictions of the saw frequency shift due to stiffness variations were found to agree closely with experimentally determined frequencies. The method thus offers a practical procedure for tension evaluation and could replace the currently used technique of measuring the light gap under a straightedge placed along the saw diameter.

The second part of this paper theoretically analyzes the relationship between the rolling load and the resulting tensioning stresses. The procedure followed in the theoretical model determines the identation load by equating the external power of loading with the power of storing in the elastic zones and of internal dissipation in the plastic zone.

The residual stresses obtained by superpositioning the stresses due to unloading were generally in good agreement with the experimentally determined tensioning stresses outside the rolled region. The theory developed can be very useful in predicting tensioning stresses for a given rolling load and roller geometry.

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Abbreviations

a, b:

Inside and outside saw disc radii

A, B:

Arbitrary constants

c:

Saw disc tensioning radius

ci, c0 :

Inside and outside rolling/indentation radii

cn :

Neutral radius

d:

Track width

E:

Modulus of elasticity or strain energy

Eext :

External power of the loading

Ep :

Power dissipation due to plastic deformation

Ed :

Power dissipation due to velocity discontinuity

Ee :

Power stored in elastic zones

fn :

Resonant frequency of a saw disc n — nodal diameters

f TMn :

Measured resonant frequency

f TCn :

Resonant frequency calculated from the variation in the saw disc stiffness

F:

Rolling load

H:

Half saw disc thickness

Kn :

Modal stiffness, n=number of nodal diameters

K *n :

Conventional or bending stiffness

K **n :

Geometric or tensioning stress stiffness

K Tn :

Modal stiffness of a tensioned saw disc

Mn :

Modal mass, n=number of nodal diameters

M, N:

Integration constants

Pave :

Average indentation pressure

p, p′, p′':

Radial pressures at elastic-plastic boundaries; loading, unloading and residual

pi, pO :

Radial pressures inside and outside the elastic-plastic boundaries

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Authors and Affiliations

  1. Forest Products Laboratory, University of California, Richmond, California

    R. Szymani & C. D. Mote Jr. (Professor and Vice Chairman)

  2. Department of Mechanical Engineering and Reserach Engineer, University of California Forest Products Laboratory, 47th Street amp; Hoffman Blvd., 94804, Richmon, California, USA

    C. D. Mote Jr. (Professor and Vice Chairman)

Authors
  1. R. Szymani
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  2. C. D. Mote Jr.
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Additional information

The Authors would like to express their gratiude to C. H. Zierdt and J. Rhemrev for assistance in the experimental investigations. The authors are also grateful to Hanchett Co. and California Saw Knife and Grinding, Inc. for supplying stretcher rolls and experimental saw discs, respectively. They are also grateful for the financial support of the project from the U.C. Forest Products Laboratory, California Cedar Products Co., California Saw Knife and Grinding, Inc., Hudson Lumber Co., MacMillan Bloedel Research Ltd., Potlatch Corp., Simpson Timber Co., Sun Studs, Inc. and Weyerhaeuser Co. Finally, the authors thank the National Science Foundation for its generous support of the research

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Szymani, R., Mote, C.D. Theoretical and experimental analysis of circular saw tensioning. Wood Sci. Technol. 13, 211–237 (1979). https://doi.org/10.1007/BF00350225

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