Topics in Modal Analysis & Testing, Volume 8

200 P. M. Vinze et al. References 1. Phillips, A.W., Allemang, R.J.: Utilizing the Modal Assurance Criterion (MAC) in the Detection of Repeated Roots. In: Proceedings, International Modal Analysis Conference, pp. 665–671 (1996) 2. Walther, H.P., Kmetyk, L.N., Holzmann, W.A., Segalman, D.: Modal Correlation with Closely Spaced Modes. In: Proceedings, International Modal Analysis Conference (2004) 3. Beezer, R.A.: A First Course in Linear Algebra. University of Pugetsound, Washington, DC (2004) 4. Wedin, P.A.: On angles between subspaces of a finite dimensional inner product space. In: Kagstrom, B., Ruhe, A. (eds.) Matrix Pencils, Lecture Notes in Mathematics 973, pp. 263–285. Springer, Berlin (1983) 5. Bjorck, A., Golub, G.: Numerical methods for computing angles between linear sub-spaces. Math. Comput. 27, 579–594 (1973) 6. Horn, B.K.P., Hilden, H.M.: Negahdaripour Closed-form solution of absolute orientation using orthonormal matrices. J. Opt. Soc. Am., 1127– 1135 (1998) 7. Allemang, R.J., Brown, D.L.: A Correlation Coefficient for Modal Vector Analysis. In: Proceedings, International Modal Analysis Conference, pp. 110–116 (1982) 8. Richardson, S., Tyler, J., McHargue, P., Richardson, M.: A new measure of shape difference. In: Proceedings, 32nd International Modal Analysis Conference, pp. 71–79 (2014) 9. Allemang, R.J.: The modal assurance criterion – twenty years of use and abuse. Sound Vib., 14–21 (2003) 10. Allemang R. J., Vibrations: Analytical and Experimental Modal Analysis, Experimental Vibrations, University of Cincinnati (2017) 11. Allemang, R.J., Phillips, A.W.: Un-weighted and Weighted Versions of the Modal Assurance Criterion (MAC) for Evaluation of Modal Vector Contamination In: Proceedings, International Modal Analysis Conference, Topics in Modal Analysis I, vol. 7, pp 173–180 (2014) 12. Hiremanglur, R.: Real-Normalization of Experimental Complex Modal Vectors with Modal Vector Contamination. Master’s thesis, University of Cincinnati (2014) 13. Knyazev, A.V., Zhu, P. Angles between subspaces and their tangents. J. Numer Math., 325–340 (2013) 14. Ipsen, I.C.F., Meyer, C.D.: The angle between complementary subspaces. Am. Math. Mon. 102(10), 904–911 (1995)

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