Experimental Study of Stiffness and Nonuniformity in the Vibroscopic Determination of Fiber Cross-Sectional Area

Abstract

An experimental investigation has been made of the effect of stiffness and nonuniformity in filaments on the vibroscopic determination of linear density. For the samples studied (tungsten wire, wool fibers, nylon filaments) the effect of damping and of support motion was ordinarily negligible. The effect of stiffness in raising the natural frequencies follows theory, as does the effect of nonuniformity in changing the natural frequencies and in shifting the nodes. When appropriate corrections for these effects are made, the vibroscope provides an accurate method for determining linear density of filaments, the values found agreeing with direct weight deter minations within the precision of the weighing.

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References

Dart, S.L. , and Peterson, L.E. , TEXTILE RESEARCH JOURNAL 19, 89 (1949).

Dart, S.L. , and Peterson, L.E. , TEXTILE RESEARCH JOURNAL 22, 819 (1952).

Gonsalves, V.E. , TEXTILE RESEARCH JOURNAL 17, 369 (1947).

Kenworthy, R.W. , and Jennings, V.A. , J. Acoust. Soc. Am. 24, 60 (1952).

Montgomery, D.J. , and Milloway , W.T. , TEXTILE RESEARCH JOURNAL 22, 729 (1952).

Montgomery, D.J. , Applied Phys. 24, 1092 (1953 ).

Lord Rayleigh , "The Theory of Sound," vol. I, 2nd ed., London, Macmillan, 1894, p. 113ff; reprinted by Macmillan in 1926 and 1929, and by Dover Publications, Inc. , New York, in 1945.

Seebeck, A. , Abhandl. math. phys.-Klasse sächs. Akad. Wiss. (Leipzig) 1, 131 (1852).

Sproule, D.O. , J. Textile Inst. 43, T455 ( 1952).