On the Foundation of Circular-Saw Stability Theory

Authors

  • C. D. Mote
  • L. T. Nieh

Keywords:

Stability, critical speed, buckling, cutting accuracy, rotating disc, thermal stress, temperature, radiation, vibration, numerical analysis, natural frequencies, spectrum

Abstract

The buckling and critical speed saw stability theories for predicting the flatness of a circular saw are discussed. Laboratory experiments were performed for evaluation of the stability concepts. The experiments include accurate measurement of the saw-disc natural frequencies or frequency spectrum and the measurement and inclusion of thermal effects in saw-disc stability analysis.

References

Cobb, E. C., and O. A. Saunders. 1956. Heat transfer from a rotating disk. Proc. Roy. Soc. (Ser. A):343-351.nCooley, J. S., and J. W. Tukey. 1965. An algorithm for the machine calculation of complex Fourier series, J. Math. Comput. 19:297-301.nDugdale, D. S. 1966. Stiffness of a spinning disc clamped at its centre. J. Mech. Phys. Solids, 14:349-356.nKheith, F. 1958. Principles of heat transfer. International Textbook Company, Scranton, Pa., pp. 326-327.nMcComas, S. T., and J. P. Hartneti. 1970. Temperature profiles and heat transfer associated with a single disk rotating in still air. Fourth Int. Heat Transfer Conference, Heat Transfer 1970, Vol. 3.nMote, C. D., Jr. 1967. Transient thermal stress and associated natural frequency variations in circular disk elements. Trans. ASME, 89(B):265-270.nMote, C. D., Jr. 1970a. Formulation of discrete element models for stress and vibration analysis of plates. For. Prod. Lab. Rep. No. 35. 01.77, University of California.nMote, C. D., Jr. 1970b. Unsymmetrical, transient heat conduction: rotating disk applications. Trans. ASME, 92(B): 181-190.nMote, C. D., Jr. 1971. Circular saw stability-fundamental considerations and specific research results. Proc. Wood Machining Seminar, University of California For. Prod. Lab., Richmond, March 24-25, pp. 15-38.nMote, C. D., Jr. 1972. Stability control analysis of rotating plates by finite element: emphasis on slots and holes. J. Dyn. Syst. Meas. Control, Trans. ASME, 94(G), (1):64-70.nMote, C. D., Jr., and L. T. Nieh. 1971. Control of circular disk stability with membrane stresses. Exp. Mech. 11(11) :490-498.nNieh, L. T., and C. D. Mote, Jr. 1972. Rotating disc stability-spectral analysis and thermal effects. For. Prod. Lab. Res. Rep. University of California.nOkushima, S., and H. Sugihara. 1969. Temperature distribution of circular saw blade-measurement with infrared radiometric microscope. J. Jap. Wood Res. Soc. 15(1):11-19.nSugihara, H., and K. Sumiya. 1955. A theoretical study on temperature distribution of circular saw blade. Wood Res. Rev. 15:60-74.n

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Published

2007-06-05

Issue

Number 2 / Summer 1973

Section

Research Contributions

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