A dimensionless mobility formulation for evaluation of force and moment excitation of structures
Moorhouse, AT 2002, 'A dimensionless mobility formulation for evaluation of force and moment excitation of structures' , The Journal of the Acoustical Society of America (JASA), 112 (3) , pp. 972-980.Full text not available from this repository.
The problem addressed is the simultaneous excitation of a structure by a force and moment. These two forms of excitation are dimensionally incompatible, and so their relative importance is normally difficult to assess. Here, a dimensionless form of the mobility matrix is developed thereby allowing proper comparison. The off-diagonal elements of the matrix quantify the coupling between two excitations of whatever dimensions, in other words the extent to which an applied force or moment affects the power input by another force or moment. It is shown that off-diagonals of unit magnitude indicate the maximum possible extent of coupling between the corresponding excitations. A precise definition of weak and strong coupling is therefore possible. Illustrative examples of dimensionless mobilities for infinite, semi-infinite, and finite plates are given. It is also shown that the eigenvalues of the dimensionless mobility matrix relate the actual delivered power to the "point-by-point" power input. The results are shown to have wider relevance than originally intended; specifically, the dimensionless mobilities provide a measure of the suitability for active vibration control of different points on a structure, or mixed excitations.
|Themes:||Subjects / Themes > Q Science > QC Physics > QC221-246 Acoustics - Sound|
Subjects outside of the University Themes
|Schools:||Colleges and Schools > College of Science & Technology > School of the Built Environment|
Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering > Acoustics Research Centre
|Journal or Publication Title:||The Journal of the Acoustical Society of America (JASA)|
|Publisher:||Acoustical Society of America|
|Depositing User:||H Kenna|
|Date Deposited:||12 Sep 2007 11:52|
|Last Modified:||20 Aug 2013 16:47|
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