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Drive-point functions and modal density
1.These are standard relationships. A reference for the notation used is R. Lyon, Machinery Noise and Diagnostics (Butterworths, Boston, 1987), p. 79.
5.L. Kurzweil, “Seismic excitation of footings and footing-supported Structures,” Ph.D. thesis (MIT ME Dept., September 1971).
6.L. Cremer, M. Heckl, and E. Ungar, Structure-Borne Sound (Springer, New York, 1973), Chap. IV.
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It is well known that the real part of a drive-point function, averaged in frequency, can be estimated from the modal density and mass of a structure. Furthermore, the results are often the same as when the modal overlap is large due to damping or when the system boundaries are infinitely extended. The present Note examines the possible use of modal density in estimating the imaginary part of the same system drive-point function.
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