122 6. SYSTEMATIC TEST ANALYSIS CORRELATION
2. Employment of the complex least-squares formulation for test-TAM correlation and
modal coherence appears to be an appropriate enhancement for incorporation in NASA-
STD-5002 and USAF SMC-004 test-analysis correlation standards. It is recognized that
the task of modal correlation does not specifically require perfectly orthogonal, real modes.
3. Introduction of the complex least-squares formulation for test-TAM correlation and
modal coherence opens the opportunity for inclusion of damping in correlation and up-
date endeavors, e.g., structures with non-negligible modal complexity due to localized,
non-proportional damping mechanisms (joints).
e developments influenced by the ISPE test experience offer potential enhancements
to U.S. Government modal testing standards that must undergo wider study and critique before
establishment of general acceptance in the structural dynamics technical community.
6.3 REFERENCES
[1] Load analysis of spacecraft and payloads, NASA-STD-5002, 1996. 107, 108, 109, 112,
114
[2] Independent Structural Loads Analysis, U.S. Air Force Space Command, SMC-S-004,
2008. 107, 108, 112, 114
[3] K. Miller, Complex linear least squares, SIAM Review, 15(4):706–726, 1973. DOI:
10.1137/1015094. 107, 112, 114
[4] R. Guyan, Reduction of stiffness and mass matrices, AIAA Journal, 3, 1965. DOI:
10.2514/3.2874. 113
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