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Accession Number:
ADA056175
Title:
Ideal Solution of an Inverse Normal Mode Problem with Finite Spectral Data.
Corporate Author:
CHICAGO UNIV ILL DEPT OF GEOPHYSICAL SCIENCES
Report Date:
1978-06-01
Abstract:
The problem of reconstructing the density of a vibrating string given the first N eigenfrequencies for two vibrating configurations admits an infinite number of solutions. Among all such strings compatible with the truncated data set, we define the ideal string to be that string for which a weighted average of the density is minimum. We prove that this ideal string must have a finite number of degrees of freedom and hence, that it is made up by a finite number of concentrated point masses. By specializing the optimality criterion, we can also show that the Krein string is an ideal string. Author
Descriptive Note:
Technical rept.,
Pages:
0020
Contract Number:
N00014-76-C-0034
Contract Number 2:
NSG-7274
File Size:
6.67MB
