ENGINEERING science provides many examples of the vibration of rotating bodies. The torsional vibration of crankshafts, the whirling of shafts and rotors and the flexural vibration of propeller blades are some of them. Satisfactory theoretical treatments have been given for most of such problems, but so far as the writer knows no attempt has been made before to derive general equations for the vibration of a rotating body. In this paper such equations arc obtained. In as much as the understanding of any problem is helped if its relation to other problems is appreciated, it follows that the study of general equations is useful to the student of engineering. The equations have another use when particular problems, which have not yet received a special treatment of their own, are being considered; the general equations then enable relationships between the new problems and other previously treated problems to be seen and qualitative predictions of the effects of the different terms in the equations can then be made. An example of this occurs in the study of the vibration of a rotating bell or cup, such as is formed by some internally toothed gear wheels; further reference to this will be made later.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Free Vibration of a Rotating Elastic Body


    Subtitle :

    The General Theory and Some Examples of Practical Cases


    Contributors:

    Published in:

    Publication date :

    1952-08-01


    Size :

    3 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Forced Vibration of a Rotating Elastic Body

    Johnson, D.C. | Emerald Group Publishing | 1952


    Free vibration of flexible rotating disks

    Mignolet, M.P. | Online Contents | 1996


    Free vibration analysis of rotating cantilever plates

    Yoo, H.H. / Kim, S.K. | Tema Archive | 2002


    Free Vibration Analysis of Rotating Cantilever Plates

    Hong Hee Yoo / Sung Kyun Kim | AIAA | 2002


    Free vibration analysis of rotating thick plates

    Hashemi, S.H. | Online Contents | 2009