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302                VIBRATION, NOISE AND SHOCK

          In warships essential equipment is designed to remain operable up to
        a level of shock at which the ship is likely to be lost by hull rupture. The
        first of class of each new design of warship is subjected to a shock trial in
        which its resistance to underwater shock is tested by exploding large
        charges, up to 500 kg, fairly close to the hull




        SUMMARY
        The three closely related phenomena of vibration, noise and shock
        have been reviewed. Each topic is important in ship design and levels of
        vibration and noise must meet internationally agreed standards. Shock
        is especially important for warships which must be able to withstand
        enemy attack. Considerable advances have been made in recent years
        in applying finite element analysis and statistical energy analysis to
        these problems but the mathematics is beyond the scope of this book
        and it has only been possible to outline the main features of each and
        how the designer can deal with them. Having calculated, during design,
        the vibration amplitudes expected, these can be checked as the build
        nears completion, by setting up and running a vibration generator on
        board. Finally the ship's acceptance trials are the final demonstration of
        how successful a designer has been in reducing vibration and noise
        levels to acceptable limits. In vibration some simplified formulae are
        given upon which preliminary design assessments can be based.



        References
         1. Dieudonne, J. (1959) Vibration in ships. TINA.
         2. Schlick, O. (1884) Vibration of steam vessels. TINA.
         3. Todd, F. H. (1961) Ship hull vibration. Arnold,
         4. Taylor, J. L. (1924-5) The theory of longitudinal bending of ships. TNECEES.
         5. Taylor, J. L. (1927-8) Ship vibration periods. TNECJES.
         6. Johnson, A. J. (1950-1) Vibration tests on all welded and riveted 10000 ton dry
           cargo ships. TNEC1ES.
         7. Burrill, L. C. (1934-5) Ship vibration: simple methods of estimating critical
           frequencies. TNECIES.
         8. Lewis, F. M. (1929) The inertia of water surrounding a vibrating ship. TSNAME.
         9. Landweber, L. and deMacagno, M. C. (1957) Added mass of two dimensional forms
           oscillating in a free surface, Journal of Ship Research, SNAME.
        10. Taylor, J. L. (1930) Vibration of ships. TINA.
        11. Towroin, R. L. (1969) Virtual mass reduction factors: J values for ship vibration
           calculations derived from tests with beams including ellipsoids and ship models.
           TMNA.
        12. BS 6634: 1985. ISO 6954: 1984. Overall evaluation of vibration in merchant ships.
        13. Warnaka, G. E. (1982) Active attenuation of noise - the state of the art. Noise Control
           Engineering.
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