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INTRODUCTION                              3

                  The second case also occurred in a nuclear power station, this time a gas-cooled system
                (PaYdoussis 1980; Case 35). It involved excessive vibration of  the piping - so excessive
                that the sound associated with  this vibration could be heard  3km away! The excitation
                source was not local; it was a vortex-induced vibration within the steam generator, quite
                some distance away. A  similar but  less  spectacular such case  involved the perplexing
                vibration of  control piping in  the  basement  of  the  Macdonald Engineering Building at
                McGill University, which occurred intermittently. The source was eventually, and quite
                by  chance,  discovered  to  be  a  small  experiment involving a  plunger  pump  (to study
                parametric oscillations of piping, Chapter 4) three floors up!
                  Another  case involved a boiler (Pdidoussis  1980; Case 23), and  the  report from  the
                field stated that  ‘There is  severe vibration on this  unit. The forced draft duct, gas duct
                and  superheater-economizer sections  all  vibrate. The  frequency  I  would  guess  to  be
                60-100  cps.  It  feels  about  like  one  of  those  ‘ease tired  feet’  vibration machines’.  A
                very colourful description, but lacking in the kind of detail and quantitative information
                one would wish for. The difficulty of  instrumenting the troublesome operating system a
                posteriori  should also be remarked upon.
                  To be able to deal with practical problems involving flow-induced vibration or insta-
                bility, one needs first of  all  a certain breadth  of perspective to be  able to  recognize in
                what class of phenomena it belongs, or at least in what class it definitely does not belong.
                Here  experience is  a great asset; reference to  books  with  a broader scope  would  also
                be recommended [e.g. Naudascher & Rockwell (1994), Blevins (1990)l. Once the field
                has been narrowed, however, to be able to solve and to redesign properly the system, a
                thorough familiarity with the topic is indispensable. If  the problem is one of  axial flow,
                then here is where this book becomes useful.
                  A  final point, before embarking on more specific items, should also be made: despite
                what  was said at the beginning of  the discussion  on  practical concerns - that  applica-
                tions and problems are often synonymous - flow-induced vibrations are not necessarily
                bad. First of  all, they are omnipresent; a fact of  life, one might say. They occur when-
                ever a structure is in contact with flowing fluid, no matter how  small the flow velocity.
                Admittedly,  in  many  cases  the  amplitudes of  vibration  are  very  small  and  hence  the
                vibration may be quite inconsequential. Secondly, even if  the vibration is substantial, it
                may have desirable features, e.g. in promoting mixing, dispersing of plant seeds, making
                music by  reed-type wind instruments; as well as for wave-generated energy conversion,
                or for the enhancement of  marine propulsion (Chapter 4). Recently, attempts have been
                made  ‘to harness’ vibration in  heat-exchange equipment so as to augment heat transfer,
                so far without spectacular success, however. Even chaotic oscillation, usually a term with
                negative connotations, can be useful, e.g. in enhancing mixing (Aref 1995).


                1.2  CLASSIFICATION OF FLOW-INDUCED VIBRATIONS

                A  number of  ways of  classifying flow-induced vibrations have been  proposed. A  very
                systematic and  logical classification is due to Naudascher & Rockwell (1980, 1994), in
                terms  of  the  sources  of  excitation  of  flow-induced  vibration, namely,  (i)  extraneously
                induced excitation, (ii) instability-induced excitation, and (iii) movement-induced excita-
                tion.  Naudascher & Rockwell consider flow-induced excitation of  both  body  and  fluid
                oscillators, which leads to a 3  x  2 tabular matrix within which any given situation can
                be  accommodated; in  this book,  however,  we are mainly concerned with  flow-induced
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