[1] Schwarz H A. Gesammelte mathematische abhandlungen[M]. Berlin: Springer-Verlag, 1890: 133-143.[2] de Klerk D, Rixen D J, de Jong J. The frequency based substructuring (FBS) method reformulated according to the dual domain decomposition method[C]//24th IMAC. New York: Springer, 2006.[3] Hurty H W. Vibration of structure systems by component mode synthesis[J]. Journal of the Engineering Mechanics Division, 1960, 86(4): 51-70.[4] Gladwell G M L. Branch mode analysis of vibrating systems[J]. Journal of Sound and Vibration, 1964, 1(1): 41-59.[5] Craig R R, Bampton M C C. Coupling of substructures for dynamics analysis[J]. AIAA Journal, 1968, 6(7): 1313-1319.[6] Hurty W C. Dynamic analysis of structural systems using comtonent modes[J]. AIAA Journal, 1965, 3(4): 678-685.[7] Hou S N. Review of modal synthesis techniques and a new approach[J]. Shock and Vibration Bulletin, 1969, 40(4): 25-39.[8] Macneal R H. A hybrid method of component mode synthesis[J]. Computers & Structures, 1971, 1(4): 581-601.[9] Rubin S. Improved component-mode representation for structural dynamic analysis[J]. AIAA Journal, 1975, 13(8): 995-1006.[10] Craig R R, Chang C J. Free-interface methods of substructure coupling for dynamic analysis[J]. AIAA Journal, 1976, 4(11): 1633-1635.[11] Wang W L, Du Z R, Chen K Y. A short commentary for modal synthesis techniques and a novel improvement[J]. Acta Aeronautica et Astronautica Sinica, 1979(3): 32-51 (in Chinese). 王文亮, 杜作润, 陈康元. 模态综合技术短评和一种新的改进[J]. 航空学报, 1979(3): 32-51.[12] Benfield A W, Hruda F R. Vibration analysis of structures by component mode[J]. AIAA Journal, 1971, 9(7): 1255-1261.[13] Biot M A. Vibration of crankshaft-propeller systems. New method of calculation[J]. Journal of the Aeronautical Sciences, 1940, 7(3): 107-112.[14] Biot M A. Coupled oscillations of aircraft engine-propeller systems[J]. Journal of the Aeronautical Sciences, 1940, 7(9): 376-382.[15] Serbin H. Vibrations of composite structures[J]. Journal of the Aeronautical Sciences, 1945, 12(1): 108-112.[16] Sofrin T G. The combination of dynamical systems[J]. Journal of the Aeronautical Sciences, 1946, 13(6): 281-288.[17] Bishop R E D, Johnson D C. The mechanics of vibration[M]. Cambridge: Cambridge University Press, 1960: 17-20.[18] Rubin S. Mechanical immittance and transmission matrix concepts[J]. The Journal of the Acoustical Society of America, 1967, 41(5): 1171-1179.[19] Jetmundsen B, Bielawa R L, Flannelly W G. Generalized frequency domain substructure synthesis[J]. Journal of the American Helicopter Society, 1988, 33(1): 55-64.[20] Dong W L, Liu L, Zhou S D. Model reduction of soft landing dynamics for lunar lander with local nonlinearities[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(5): 1319-1328 (in Chinese). 董威利, 刘莉, 周思达. 含局部非线性的月球探测器软着陆动力学降阶分析[J]. 航空学报, 2014, 35(5): 1319-1328.[21] Rixen D J. Substructuring using impulse response functions for impact analysis[C]//28th IMAC. New York: Springer, 2010: 637-646.[22] Rixen D J, van der Valk P L C. An impulse based substructuring approach for impact analysis and load case simulations[J]. Journal of Sound and Vibration, 2013, 332(26): 7174-7190.[23] Laurenson R M, Melliere R A, Mcgehee J R. Analysis of legged landers for the survivable soft landing of instrument payload[J]. Journal of Spacecraft and Rockets, 1973, 10(3): 208-214.[24] Zeng F M, Yang J Z, Zhu W, et al. Research on landing impact attenuation performance of lunar lander[J]. Spacecraft Engineering, 2010(5): 43-49 (in Chinese). 曾福明, 杨建中, 朱汪, 等. 月球着陆器着陆缓冲性能研究[J]. 航天器工程, 2010(5): 43-49.[25] Farhat C, Roux F X. A method of finite element tearing and interconnecting and its parallel solution algorithm[J]. International Journal for Numerical Methods in Engineering, 1991, 32(6): 1205-1227.[26] van der Valk P L C, Rixen D J. An effective method for assembling impulse response functions to linear and non-linear finite element models[C]//30th IMAC. New York: Springer, 2012: 123-135.[27] Rixen D J, Haghighat N. Truncating the impulse responses of substructures to speed up the impulse-based substructuring[C]//30th IMAC. New York: Springer, 2012: 137-148.[28] van der Valk P L C, Rixen D J. Impulse based substructuring for coupling offshore structures and wind turbines in aero-elastic simulations[C]//53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Reston: American Institute of Aeronautics and Astronautics Inc., 2012: 23-26.[29] Otto O R, Laurenson R M, Melliere R A, et al. Analyses and limited evaluation of payload and legged landing system structures for the survivable soft landing of instrument payloads, NASA CR-111919[R]. Washington, D.C.: NASA, 1971.[30] Hughes P C. Modal identities for elastic bodies, with application to vehicle dynamics and control[J]. Journal of Applied Mechanics, 1980, 47(1): 177-184.[31] Lee A, Tsuha W S. Model reduction methodology for articulated, multiflexible body structures[J]. Journal of Guidance, Control, and Dynamics, 1994, 17(1): 69-75.[32] Hughes P C, Skelton R E. Modal truncation for flexible spacecraft[J]. Journal of Guidance, Control, and Dynamics, 1981, 4(3): 291-297.[33] Hughes P C, Skelton R E. Controllability and observability for flexible spacecraft[J]. Journal of Guidance, Control, and Dynamics, 1980, 3(5): 452-459.[34] Skelton R E, Gregory C Z. Measurement feedback and model reduction by modal cost analysis[C]//Proceedings of the 1979 Joint Automatic Control Conference. New York: American Institute Chememical Engineers, 1979: 211-218.[35] Moore B C. Principal component analysis in linear systems: controllability, observability, and model reduction[J]. IEEE Transactions on Automatic Control, 1981, 26(1): 17-32.[36] Jin R, Chen W, Simpson T W. Comparative studies of metamodelling techniques under multiple modelling criteria[J]. Structural and Multidisciplinary Optimization, 2001, 23(1): 1-13. |