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Abstract

Sources of vibration or air-borne sound may be identified in the appropriate spectrum by their resonant peaks. To ascertain precisely which component or part of a system creates each peak it is necessary to evaluate the discrete (or ‘natural’) frequency which each component is able to produce.

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References

  1. McClachlan, N.W. (1956), Theory of Vibrations, Dover Publications Inc.

    Google Scholar 

  2. Rankine, W.J. (1869), ‘On the centrifugal force of rotating shafts’, The Engineer, 27, 9 April 249.

    Google Scholar 

  3. Jeffcott, H.H. (1919), ‘The lateral vibration of loaded shafts in the neighbourhood of a whirling speed; the effect of want of balance’, Phil. Mag, 37, March.

    Google Scholar 

  4. Morley, A. (1938), Strength of Materials, Logmans, Green & Co.

    Google Scholar 

  5. Morley, A. (1909), ‘The calculation of the transverse vibration of beams’, Engineering, 30 July, 13 August.

    Google Scholar 

  6. Dunkerley, W. (1894), Phil. Trans. Roy. Soc.(A) 185.

    Google Scholar 

  7. Collacott, R.A. (1976), ‘Monitoring to determine the dynamics of fatigue’, ASTM, Journal of Testing & Evaluation, May.

    Google Scholar 

  8. Collacott, R.A. (1974), ’sonic fault diagnosis’, British Steel Corporation, Research Fellowship Report.

    Google Scholar 

  9. Timoshenko, S.D. (1921), ‘On the correction for shear of the differential equation for transverse vibrations of prismatic bars’, Phil. Mag. 41, 744–749.

    Google Scholar 

  10. Bevan, T. (1950), The Theory of Machines, Longmans, Green & Co Ltd.

    Google Scholar 

  11. Bishop, R.E.D.(1960), The Mechanics of Vibration, Cambridge University Press.

    Google Scholar 

  12. Myklestad, N.O. (1956), Fundamentals of Vibration Analysis’, MgGraw Hill.

    Google Scholar 

  13. Ker Wilson, W. (1956) Practical Solution of Torsional Vibration Problems, Vol. 1, Chapman & Hall Ltd.

    Google Scholar 

  14. Dawson, B. and Sidwell, J.M. (1974), ‘The vibrational properties of branched torsional systems having one or more branch points’ Trans. I. Mar.E, 86, Series A Part 12.

    Google Scholar 

  15. Dawson, B., Goodchild, C.J. and Sidwell, J.M. (1974), ‘Natural frequency bands of branched vibrating systems’, Polytechnic of Central London, Dynamics Group, Research Report No.2

    Google Scholar 

  16. Carnegie, W. and Pasricha, M.S. (1972), ‘An examination of the effects ofvariable inertia on the torsional vibrations of marine systems’, Trans. I. Mar. E, 84, Part 6,160–167.

    Google Scholar 

  17. Cunningham, W.J. (1958), Introduction to Non-Linear Analysis’, McGraw-Hill Book Co Ltd.

    Google Scholar 

  18. Draminsky, P. (1961), ‘Secondary resonance and subharmonics in reciprocating engine shafts’, Acta polytechn. Scand., 10

    Google Scholar 

  19. Draminsky, P. (1965), ‘An introduction to secondary resonance’, The Marine Engineer and Architect, Jan.

    Google Scholar 

  20. Archer, S. (1964), ‘Some factors influencing the life of marine crankshafts’, Trans. I. Mar. E. 76,73–134.

    Google Scholar 

  21. Carter, B.C. (1928), ‘An empirical formula for crankshaft stiffness’, Engineering, 13th July.

    Google Scholar 

  22. Constant, H. (1929), ‘On the stiffness of crankshafts’, Engineering, 1st November

    Google Scholar 

  23. Toms, A.E., and Martyn, D.K. (1972), ‘Whirling of line shafting’, Trans. I. Mar E., 84 176–191.

    Google Scholar 

  24. Volcy, G.C. Discussion on [23].

    Google Scholar 

  25. Panagopulos, E. (1950), ‘Design stage calculations of torsional, axial and lateral vibrations of marine shafting’, Trans. A.S.M.E., 58.

    Google Scholar 

  26. Jasper, N.H. (1954), ‘A design approach to the problem of critical whirling speeds of shaft-disc systems’, David Taylor Model Basin Report 890, also International Shipbuilding Progress 3 (1956).

    Google Scholar 

  27. Prohl, M.A. (1945), ‘A general method for calculating critical speeds of rotors’, J. App. Mech., 67,.

    Google Scholar 

  28. Tuplin, W.A. (1943), ‘Torque reversals in gear drives’, Engineering, 24th December, 503.

    Google Scholar 

  29. Balderston, H.L. (1969), ‘Detection of incipient failure in bearings’, Materials Evaluation, June, 123.

    Google Scholar 

  30. Carmody, T. (1972), ‘The measurement of vibrations as a diagnostic tool’, Trans. I Mar. E., 84, no. 1.

    Google Scholar 

  31. Love, A.E.H. A Treatise on the Mathematical Theory of Elasticity, The University Press, Cambridge, Mass. 286.

    Google Scholar 

  32. Stokey, W.F. (1961), ‘Vibration of systems having distributed mass and elasticity’, Shock and Vibration Handbook Vol. 1, Section 7, McGraw-Hill, New York, 36.

    Google Scholar 

  33. Allen, R.K. (1945), Rolling Bearings Sir Isaac Pitman & Sons Ltd, London.

    Google Scholar 

  34. Ballas, T. (1969), ‘Periodic noise in bearings’, Trans S.A.E. Paper 690756, Cleveland, Ohio October.

    Google Scholar 

  35. Carnegie, W., (1967), ‘The application of the variational method to derive the equations of motion of vibrating cantilever blading under rotation’, Bull. Mech. Eng. Ed. 6, no. 29.

    Google Scholar 

  36. Carnegie, W. (1967), ‘Solution of the equations of motion for the flexural vibration of cantilever blades under rotation by the Holzer method’, Bull. Mech. Eng. Ed., 6, No. 225.

    Google Scholar 

  37. Rao, J.S. and Carnegie, W. (1973), ‘A numerical procedure for the determination of the frequencies and mode shapes of lateral vibrations of blades allowing for the effects of pre-twist and rotation’, Int. J. Mech. Eng. Ed., 1, no. 1, November.

    Google Scholar 

  38. Koster, M.P. (1973), ‘Vibrations of cam mechanisms and their consequences on design’, N.V. Phillips Gloeilarnpenfabrieken, Eindhoven, Holland Research Reports Suppl. 6.

    Google Scholar 

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© 1977 R.A. Collacott

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Collacott, R.A. (1977). Discrete frequencies. In: Mechanical Fault Diagnosis and condition monitoring. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5723-7_7

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  • DOI: https://doi.org/10.1007/978-94-009-5723-7_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-5725-1

  • Online ISBN: 978-94-009-5723-7

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