120 J. Harvie and P. Avitabile Mode MAC to Original Full Space Model Guyan Reduced, Guyan Expanded TIGER Reduced, TIGER Expanded 1 1.000 1.000 2 1.000 1.000 3 1.000 1.000 4 1.000 1.000 5 0.999 1.000 6 0.997 1.000 7 0.985 1.000 8 0.949 1.000 9 0.943 1.000 10 0.017 1.000 Reference Guyan Reduced, Guyan Expanded TIGER Reduced, TIGER Expanded Mode 1 Mode 2 Mode 3 Mode 4 Mode 5 Mode 6 Fig. 10.9 Comparison of Guyan reduction & expansion and TIGER reduction & expansion on cantilever beam References 1. O’Callahan JC, Avitabile P, Riemer R (1989) System equivalent reduction expansion process. In: Proceedings of the seventh international modal analysis conference, Las Vegas 2. Guyan RJ (1965) Reduction of stiffness and mass matrices. AIAA J 3(2):380 3. O’Callahan JC (1989) A procedure for an improved reduced system (IRS) model. In: Proceedings of the seventh international modal analysis conference, Las Vegas 4. Kammer DC (1991) A Hybrid approach to test-analysis-model development for large space structures, Journal of Vibration and Acoustics 113:325–332 5. Avitabile P, O’Callahan JC, Pan EDR (1989) Effects of various model reduction techniques on computed system response. In: Proceedings of the seventh international modal analysis conference, Las Vegas 6. Avitabile P (2003) Twenty years of structural dynamic modification – a review. Sound Vib Mag 37:14–27 7. Avitabile P, O’Callahan J (1991) Understanding structural dynamic modification and the effects of truncation. Int J Anal Exp Modal Anal 6(4):215–235 8. Avitabile P, O’Callahan J, Pechinsky F (1990) Understanding structural dynamic modification truncation. In: Proceedings of the eighth international modal analysis conference, Orlando 9. MAT_SAP/MATRIX (1986) A general linear algebra operation program for matrix analysis. Dr. John O’Callahan, University of Massachusetts Lowell 10. MATLAB R2007a, The MathWorks Inc., Natick, MA
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