참고문헌
- Kuhar, E. J. and Stahle, C. V., "Dynamic transformation method for modal synthesis," AIAA Journal, Vol. 12, No. 5, 1974, pp. 672-678. DOI: 10.2514/3.49318
- Craig, R. R., "A Review of Time Domain and Frequency Domain Compo-nent Mode Synthesis Method," Combined Experimental-Analytical Modeling of Dynamic Structural Systems, edited by D.R. Martinez and A.K. Miller, Vol. 67, ASME-AMD, New York, 1985.
- de Klerk, D., Rixen, D. J. and Voormeeren, S. N., "General framework for dy-namic substructuring: History, review, and classification of techniques," AIAA Journal, Vol. 46, No. 5, 2008, pp. 1169-1181. DOI: 10.2514/1.33274
- Argyris, J. H. and Kelsey, S., "The analysis of fuselages of arbitrary cross-section and taper: A DSIR sponsored reserach program on the development and application of the matrix force method and the digital computer," Aircraft Engineering and Aerospace Technology, Vol. 31, No. 9, 1959, pp. 272-283. DOI: 10.1108/eb033156
- Przemieniecki, J. S., "Matrix structural analysis of substructures," AIAA Journal, Vol. 1, No. 1, 1963, pp. 138-147. DOI: 10.2514/3.1483
- Guyan, R. J., "Reduction of stiffness and mass matrices," AIAA Journal, Vol. 3, No. 2, 1965, pp. 380-380. DOI: 10.2514/3.2874
- Irons, B., "Structural eigenvalue problems elimination of unwanted variables," AIAA Journal, Vol. 3, No. 5, 1965, pp. 961-962. DOI: 10.2514/3.3027
- Hurty, W. C., "Vibrations of structural systems by component mode synthesis," Journal of Engineering Mechanics / American Society of Civil Engineers, Vol. 86, No. 4, 1960, pp. 51-69.
- Hurty, W. C., "Dynamic analysis of structural systems using component modes," AIAA Journal, Vol. 3, No. 4, 1965, pp. 678-685. DOI: 10.2514/3.2947
- Craig, R. R. and Bampton, M. C. C., "Coupling of substructures for dynamic analyses," AIAA Journal, Vol. 6, No. 7, 1968, pp. 1313-1322. DOI: 10.2514/3.4741
- Benfield, W. A., and Hruda, R. F., "Vibration analysis of structures by component mode substitution," AIAA Journal, Vol. 9, No. 7, 1971, pp. 1255-1261. DOI: 10.2514/3.49936
- Hintz, R. M., "Analytical methods in component modal synthesis," AIAA Journal, Vol. 13, No. 8, 1975, pp. 1007-1016. DOI: 10.2514/3.60498
- Agrawal, B. N., "Mode synthesis technique for dynamic analysis of structures," Journal of the Acoustical Soiety of America, Vol. 59, No. 6, 1976, pp. 1329-1338. DOI: 10.1121/1.381019
- Bathe, E. and Gracewski, S., "On non-linear dynamic analysis using substructuring and mode superposition," Computers and Structures, Vol. 13, No. 5-6, 1981, pp. 699-707. DOI: 10.1016/0045-7949(81)90032-8
- Meirovitch, L. and Hale, A. L., "On the substructure synthesis method," AIAA Journal, Vol. 19, No. 7, 1981, pp. 940-947. DOI: 10.2514/3.51023
- Hale, A. L. and Meirovitch, L., "A procedure for improving discrete sub-structure representation in dynamic synthesis," AIAA Journal, Vol. 20, No. 8, 1982, pp. 1128-1136. DOI: 10.2514/3.51173
- Meirovitch, L., and Kwak, M. K., "Rayleigh-Ritz based substructure synthesis for flexible multibody systems," AIAA Journal, Vol. 29, No. 10, 1991, pp. 1709-1719. DOI: 10.2514/3.10794
- Bourquin, F. and d'Hennezel, F., "Numerical study of an intrinsic component mode synthesis method," Computer Methods in Applied Mechanics and Engineering, Vol. 97, No. 1, 1992, pp. 49-76. DOI: 10.1016/0045-7825(92)90107-U
- Suarez, L. E., and Singh, M. P., "Improved fixed interface method for modal synthesis," AIAA Journal, Vol. 30, No. 12, 1992, pp. 2952-2958. DOI: 10.2514/3.11642
- Farhat, C. and Geradin, M., "On a component mode method and its applica-tion to incompatible substructures," Computers and Structures, Vol. 51, No. 5, 1994, pp. 459-473. DOI: 10.1016/0045-7949(94)90053-1
- Balmes, E., "Optimal Ritz vectors for component mode synthesis using the singular value decomposition," AIAA Journal, Vol. 34, No. 6, 1996, pp. 1256-1260. DOI: 10.2514/3.13221
- Castanier, M. P., Tan, Y. C. and Pierre, C., "Characteristic constraint modes for component mode synthesis," AIAA Journal, Vol. 39, No. 6, 2001, pp. 1182-1187. DOI: 10.2514/2.1433
- Rixen, D. J., "A dual Craig-Bampton method for dynamic substructuring," Journal of Computational and Applied Mathematics, Vol. 168, 2004, pp. 383-391. DOI: 10.1016/j.cam.2003.12.014
- Voormeeren, S. N., van der Valk, P. L. and Rixen, D. J., "Generalized methodology for assembly and reduction of component models for dynamic substructuring," AIAA Journal, Vol. 49, No. 5, 2011, pp. 1010-1020. DOI: 10.2514/1.J050724
- Lindberg, E., Horlin, N. E. and Goransson, P., "Component mode synthesis using undeformed interface coupling modes to connect soft and stiff substructures," Shock and Vibration, Vol. 20, No. 1, 2013, pp. 157-170. DOI: 10.3233/SAV-2012-0734
- MacNeal, R.H., "A hybrid method of component mode synthesis," Computers and Structures, Vol. 1, No. 4, 1971, pp. 581-601. https://doi.org/10.1016/0045-7949(71)90031-9
- Rubin, S., "Improved component-mode representation for structural dynamic analysis," AIAA Journal, Vol. 13, No. 8, 1975, pp. 995-1006. DOI: 10.2514/3.60497
- Craig, R. R. and Chang, C. J., "Free-interface methods of substructure coupling for dynamic analysis," AIAA Journal, Vol. 14, No. 11, 1976, pp. 1633-1635. DOI: 10.2514/3.7264
- Kammer, D. C. and Baker, M., "Comparison of the Craig-Bampton and Residual Flexibility Methods of Substructure Representation," Journal of Aircraft, Vol. 24, No. 4, 1987, pp. 262-267. DOI: 10.2514/3.45435
- Admire, J. R., Tinker, M. L. and Ivey, E. W., "Residual Flexibility test Method for Verification of Constrained Structural Modes," AIAA Journal, Vol. 32, No. 1, 1994, pp. 170-175. DOI: 10.2514/3.11963
- Majed, A., and Spanos, P. D., "Nonlinear dynamics of structures via residual flexibility of components," Journal of Aerospace Engineering, Vol. 10, No. 4, 1997, pp. 173-178. DOI: 10.1061/(ASCE)0893-1321(1997)10:4(173)
- Majed, A., and Henkel, E. E., "Improved method of mixed-boundary component-mode representation for structural dynamic analysis," Journal of Spacecraft and Rockets, Vol. 42, No. 5, 2005, pp. 825,831. DOI: 10.2514/1.8334
- Tran, D. M., "Component mode synthesis methods using partial interface modes: Application to tuned and mistuned structures with cyclic symmetry," Computers and Structures, Vol. 87, No. 17-18, 2009, pp. 1141-1153. DOI: 10.1016/j.compstruc.2009.04.009
- Ohayon, R., Sampaio, R. and Soize, C., "Dynamic substructuring of damped structures using singular value decomposition," Journal of Applied Mechanics-Transactions of the ASME, Vol. 64, No. 2, 1997, pp. 292-298. DOI: 10.1115/1.2787306
- Park, K. C. and Park, Y. H., "Partitioned component mode synthesis via a flexibility approach," AIAA Journal, Vol. 42, No. 6, 2004, pp. 1236-1245. DOI: 10.2514/1.10423
- Markovic, D., Park, K. C. and Ibrahimbegovic, A., "Reduction of substructural interface degrees of freedom in flexibility-based component mode synthesis," International Journal for Numerical Methods in Engineering, Vol. 70, No. 2, 2007, pp. 163-180. DOI: 10.1002/nme.1878
- Klein, L. R. and Dowell, E. H., "Analysis of modal damping by component modes method using Lagrange multipliers," Journal of Applied Mechanics, Vol. 41, No. 2, 1974, pp. 527-528. DOI: 10.1115/1.3423328
- Craig, R. R. and Yung-Tsen, Y. T., "Generalized substructure coupling procedure for damped systems," AIAA Journal, Vol. 20, No. 3, 1982, pp. 442-444. DOI: 10.2514/3.51089
- Qian, D. A., and Hansen, J. S., "Substructure synthesis method for frequency-response of viscoelastic structures," AIAA Journal, Vol. 33, No. 3, 1995, pp. 520-527. DOI: 10.2514/3.12607
- Wang, W. and Kirkhope, J., "Complex component mode synthesis for damped systems," Journal of Sound and Vibration, Vol. 181, No. 5, 1995, pp. 781-800. DOI: 10.1006/jsvi.1995.0171
- Fenander, A., "Modal synthesis when modeling damping by use of fractional derivatives," AIAA Journal, Vol. 34, No. 5, 1996, pp. 1051-1058. DOI: 10.2514/3.13186
- Ohayon, R., and Soize, C., Structural Acoustics and Vibration, Academic Press, London, 1998.
- Friswell, M. I., and Inman, D. J., "Reduced-order models of structures with viscoelastic components," AIAA Journal, Vol. 37, No. 10, 1999, pp. 1318-1325. DOI: 10.2514/2.603
- Morgan, J. A., and Pierre, C., and Hulbert, G. M., "Baseband methods of component mode synthesis for nonproportionally damped systems," Mechanical Systems and Signal Processing, Vol. 17, No. 3, 2003, pp. 589-598. DOI: 10.1006/mssp.2001.1467
- Liu, M. H., and Zheng, G. T., "Improved componentmode synthesis for nonclassically damped systems," AIAA Journal, Vol. 46, No. 5, 2008, pp. 1160-1168. DOI: 10.2514/1.32869
- Dieker, S., Abdoly, K., and Rittweger, A., "Flexible boundary method in dynamic substructure techniques including different component damping," AIAA Journal, Vol. 48, No. 11, 2010, pp. 2631-2638. DOI: 10.2514/1.J050484
- Liu, Z.-S., and Wu Z.-G., "Iterative-order-reduction substructuring method for dynamic condensation of finite element models," AIAA Journal, Vol. 49, No. 1, 2011, pp. 87-96. DOI: 10.2514/1.J050184
- Soize, C. and Mziou, S., "Dynamic substructuring in the medium-frequency range," AIAA Journal, Vol. 41, No. 6, 2003, pp. 1113-1118. DOI: 10.2514/2.2052
- Sarkar, A. and Ghanem, R., "A substructure approach for the midfrequency vibration of stochastic systems," Journal of the Acoustical Society of America, Vol. 113, No. 4, 2003, pp. 1922-1934. DOI: 10.1121/1.1558374
- Herran, M., Nelias, D., Combescure, A. and Chalons, H., "Optimal component mode synthesis for medium frequency problem ," International Journal For Numerical Methods In Engineering, Vol. 86, No. 3, 2011, pp. 301-315. DOI: 10.1002/nme.3064
- Kassem, M., Soize, C., and Gagliardini, L., "Structural partitioning of complex structures in the medium-frequency range. An application to an automotive vehicle," Journal of Sound and Vibration, Vol. 330, No. 5, 2011, pp. 937-946. DOI: 10.1016/j.jsv.2010.09.008
- Brown, A. M. and Ferri, A. A., "Probabilistic component mode synthesis of nondeterministic substructures," AIAA Journal, Vol. 34, No. 4, 1996, pp. 830-834. DOI: 10.2514/3.13146
- Soize, C., and Chebli, H., "Random uncertainties model in dynamic substructuring using a nonparametric probabilistic model," Journal of Engineering Mechanics, Vol. 129, No. 4, 2003, pp. 449,457. DOI: 10.1061/(ASCE)0733-9399(2003)129:4(449)
- Hinke, L., Dohnal, F., Mace, B. R., Waters, T. P., and Ferguson, N. S., "Component mode synthesis as a framework for uncertainty analysis," Journal of Sound and Vibration, Vol. 324, No. 1-2, 2009, pp. 161-178. DOI: 10.1016/j.jsv.2009.01.056
- Hong, S.-K., Epureanu, B. I., Castanier, M. P., and Gorsich, D. J.,"Parametric reduced-order models for predicting the vibration response of complex structures with component damage and uncertainties," Journal of Sound and Vibration, Vol. 330, No. 6, 2011, pp. 1091-1110. DOI: 10.1016/j.jsv.2010.09.022
- Soize, C., and Batou, A., "Stochastic reduced-order model in low-frequency dynamics in presence of numerous local elastic modes," Journal of Applied Mechanics - Transactions of the ASME, Vol. 78, No. 6, 2011, pp. 061003-1,061003-9. DOI: 10.1115/1.4002593
- Ohayon, R., and Soize, C., "Advanced computational dissipative structural acoustics and fluid-structure interaction in low and medium-frequency domains. Reduced-order models and uncertainty quantification," International Journal of Aeronautical and Space Sciences, Vol. 13, No. 2, 2012, pp. 127-153. DOI: 10.5139/IJASS.2012.13.2.127
- Mignolet, M. P., Soize, C., and Avalos, J.,"Nonparametric stochastic modeling of structures with uncertain boundary conditions / coupling between substructures," AIAA Journal, Vol. 51, No. 6, 2013, pp. 1296-1308. DOI: 10.2514/1.J051555
- Jezequel, L., "A hybrid method of modal synthesis using vibration tests," Journal of Sound and Vibration, Vol. 100, No. 2, 1985, pp. 191-210. DOI: 10.1016/0022-460X(85)90415-8
- Urgueira, A. P. V., Dynamic Analysis of Coupled Structures Using Experimental Data, Thesis of the University of London for the Diploma of Imperial College of Science, Technology and Medecine, October 1989.
- Nobari, A. S., Robb, D. A., and Ewins, D. J., "A new approach to modal-based structural dynamic-model updating and joint identification," Mechanical Systems and Signal Processing, Vol. 9, No. 1, 1995, pp. 85,100. DOI: 10.1006/mssp.1995.0007
- Morgan, J. A., Pierre, C., and Hulbert, G. M.,"Calculation of component mode synthesis matrices from measured frequency response functions, part 1: Theory," Journal of Vibration and Acoustics-Transactions of the ASME, Vol. 120, No. 2, 1998, pp. 503-508. DOI: 10.1115/1.2893858
- Morgan, J. A., Pierre, C., and Hulbert, G. M.,"Calculation of component made synthesis matrices from measured frequency response functions, part 2: Application," Journal of Vibration and Acoustics-Transactions of the ASME, Vol. 120, No. 2, 1998, pp. 509-516. DOI: 10.1115/1.2893859
- Liu, W., and Ewins, D. J., "Substructure synthesis via elastic media Part I: Joint identification," Proceedings of the 18th IMAC Conference on Computational Challenges in Structural Dynamics (IMAC-XVIII), Book Series: Proceedings of The Society of Photo-Optical Instrumentation Engineers (SPIE), Bellingham, WA, Vol. 4062, 2000, pp. 1153-1159.
- Allen, M. S., Mayes, R. L., and Bergman, E. J., "Experimental modal substructuring to couple and uncouple substructures with flexible fixtures and multipoint connections," Journal of Sound and Vibration, Vol. 329, No. 23, 2010, pp. 4891-4906. DOI: 10.1016/j.jsv.2010.06.007
- Allen, M. S., Gindlin, H. M., and Mayes, R. L., "Experimental modal substructuring to estimate fixed-base modes from tests on a flexible fixture", Journal of Sound and Vibration, Vol. 330, No. 18-19, 2011, pp. 4413-4428. DOI: 10.1016/j.jsv.2011.04.010
- Saigal, S., and Kane, J. H., "Design sensitivity analysis of boundary-element substructures," AIAA Journal, Vol. 28, No. 7, 1990, pp. 1277-1284. DOI: 10.2514/3.25205
- Hou, G., Maroju, V., and Yang, R. J., "Component mode synthesis-based design optimization method for local structural modification," Structural Optimization, Vol. 10, No. 2, 1995, pp. 128-136. DOI: 10.1007/BF01743541
- Tu, J.-Y., Yang, H.-T., Lin, P.-Y., and Chen, P. C., "Dynamics, control and real-time issues related to substructuring techniques: application to the testing of isolated structure systems," Journal of Systems and Control Engineering, Vol. 227, No. 6, 2013, pp. 507-522. DOI: 10.1177/0959651813491743
- Sunar, M., and Rao, S. S., "Optimal structural control by substructure synthesis," AIAA Journal, Vol. 38, No. 11, 2000, pp. 2191-2194. DOI: 10.2514/2.885
- Masson, G., Brik, B. A., Cogan, S., and Bouhaddi, N., "Component mode synthesis (CMS) based on an enriched Ritz approach for efficient structural optimization," Journal of Sound and Vibration, Vol. 296, No. 4-5, 2006, pp. 845-860. DOI: 10.1016/j.jsv.2006.03.024
- Lim, C. N., Neild, S. A., Stoten, D. P., Drury, D., and Taylor, C. A., "Adaptive control strategy for dynamic substructuring tests," Journal of Engineering Mechanics- ASCE, Vol. 133, No. 8, 2007, pp. 864-873. DOI: 10.1061/(ASCE)0733-9399(2007)133:8(864)
- Amsallem, D., and Farhat, C., "An online method for interpolationg linear parametric reduced-order models," SIAM Journal on Scientific Computing, Vol. 33, No. 5, 2011, pp. 2169-2198. DOI: 10.1137/100813051
- Perdahcioglu, D. A., Geijselaers, H. J. M., Ellenbroek, M. H. M., and de Boer, A., "Dynamic substructuring and reanalysis methods in a surrogate-based design optimization environment," Structural and Multidisciplinary Optimization, Vol. 45, No. 1, 2012, pp. 129-138. DOI: 10.1007/s00158-011-0681-4
- Voormeeren, S. N., and Rixen, D. J., "Updating component reduction bases of static and vibration modes using preconditioned iterative techniques," Computer Methods in Applied Mechanics and Engineering, Vol. 253, 2013, pp. 39-59. DOI: 10.1016/j.cma.2012.10.007
- Morand, H. J. P., and Ohayon, R., "Substructure variational analysis for the vibrations of coupled," International Journal for Numerical Methods in Engineering, Vol. 14, No. 5, 1979, pp. 741-755. DOI: 10.1002/nme.1620140508
- Morand, H. J. P. and Ohayon, R., Fluid Structure Interaction, Wiley, New York, 1995.
- Clough, R. W. and Penzien, J., Dynamics of Structures, McGraw-Hill, New York, 1975.
- Bathe, K. J. and Wilson, E. L., Numerical Methods in Finite Element Analysis, Prentice-Hall, New York, 1976.
- Meirovitch, L., Computational Methods in Structural Dynamics, Sijthoff and Noordhoff, The Netherlands, 1980.
- Sanchez-Hubert, J., and Sanchez-Palencia, E., Vibration and Coupling of Continuous Systems. Asymptotic Methods, Springer-Verlag, Berlin, 1989.
- Meirovitch, L., Dynamics and Control of Structures, Wiley, New York, 1990.
- Argyris, J. and Mlejnek, H. P., Dynamics of Structures, North-Holland, Amsterdam, 1991.
- Dautray, R. and Lions, J.-L., Mathematical Analysis and Numerical Methods for Science and Technology, Springer-Verlag, Berlin, 1992.
- Leung, A. Y. T., Dynamic Stiffness and Substructures, Springer-Verlag, New York, 1993.
- Geradin, M. and Rixen, D., Mechanical Vibrations, Wiley, Chichester, 1997.
- Zienkiewicz, O.C., and Taylor, R.L., The Finite Element Method For Solid And Structural Mechanics, 6th ed., Elsevier, Butterworth-Heinemann, Amsterdam, 2005.
- Craig, R. R. and Kurdila, A., Fundamentals of Structural Dynamics, Wiley, New York, 2006.
- Saad Y., Numerical Methods for Large Eigenvalue Problems, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, 2011.
- Chatelin, F., Eigenvalues of Matrices, Revised Edition, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, 2012.
- Soize, C., Stochastic Models of Uncertainties in Computational Mechanics, American Society of Civil Engineers, Reston, 2012.
- Ohayon, R., and Soize, C., Advanced Computational Vibroacoustics, Cambridge University Press, Cambridge, 2014.
- Ohayon, R., and Soize, C., "Variational-based reduced-order model in dynamic substructuring of coupled structures through a dissipative physical interface: Recent advances", Archives of Computational Methods in Engineering, in press 2014. DOI: 10.1007/s11831-014-9107-y
- Bland, D. R., The Theory of Linear Viscoelasticity, Pergamon, London, 1960.
- Truesdell, C. (ed.), Mechanics of Solids, Vol III, Theory of Viscoelasticity, Plasticity, Elastic Waves and Elastic Stability, Springer-Verlag, Berlin, 1984.
피인용 문헌
- Uncertainty quantification/propagation in nonlinear models vol.34, pp.4, 2017, https://doi.org/10.1108/EC-11-2015-0363
- Free Vibration Analysis of Beam-Type Structures Based on Novel Reduced-Order Model vol.55, pp.9, 2017, https://doi.org/10.2514/1.J055763
- Efficient solution of the multiple seismic pounding problem using hierarchical substructure techniques vol.62, pp.4, 2018, https://doi.org/10.1007/s00466-017-1525-x