Abstract
In this chapter, the basic principle of model reduction for linear models in structural dynamics is explained. In particular, the principle of substructuring is outlined following different common approaches.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Allen MS, Rixen D, van der Seijs M, Tiso P, Abrahamsson T, Mayes TL (2020) Substructuring in engineering dynamics. In: CISM international centre for mechanical sciences. Vol 594. Springer
Antoulas AC (2005) Approximation of large-scale dynamical systems. Society for Industrial and Applied Mathematics, Philadelphia
Aoyama Y, Yagawa G (2001) Component mode synthesis for large-scale structural eigenanalysis. Comput Struct 79(6):605–615
Balmès E (1996) Use of generalized interface degrees of freedom in component mode synthesis. In: Proceedings of the 14th international modal analysis conference, 1
Balmès E (1997) Modèles expérimentaux complets et modèles analytiques réduits en dynamiquedes structures. PhD thesis, Université Pierre et Marie Curie, Paris VI, ONERA, Directions des Structure, DRET/AC
Bampton MCC, Craig JRR (1968) Coupling of substructures for dynamic analyses. AIAA J 6(7):1313–1319
Bathe KJ, Dong J (2014) Component mode synthesis with subspace iterations for controlled accuracy of frequency and mode shape solutions. Comput Struct 139:28–32
Benfield W, Hruda R (1971) Vibration analysis of structures by component mode substitution. AIAA J 9(7):1255–1261
Castanier MP, Tan YC, Pierre C (2001) Characteristic constraint modes for component mode synthesis. AIAA J 39(6):1182–1187
Craig RR, Chang CJ (1977) On the use of attachment modes in substructure coupling for dynamics analysis. In: 18st structures, structural dynamics and material conference. AIAA/ASME, San Diego, pp 89–99
Craig RR Jr, Chang CJ (1977) Substructure coupling for dynamic analysis and testing. Report, National Aeronautics and Space Administration
Dickens JM, Stroeve A (2000) Modal truncation vectors for reduced dynamic substructure models. In: 41st AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference and exhibit, Atlanta
Géradin M, Rixen D (2015) Mechanical vibrations. Theory and application to structural dynamics, 3rd edn. Wiley, Chichester
Gruber FM, Rixen DJ (2016) Evaluation of substructure reduction techniques with fixed and free interfaces. Stroj Vestn–J Mech E 62(7–8):452–462
Gruber F, Rixen D (2018) A comparison of Craig-Bampton approaches for systems with arbitrary viscous damping in dynamic substructuring. In: IMAC-XXXVI: international modal analysis conference, Orlando. Society for Experimental Mechanics, Bethel
Gruber FM, Rixen DJ (2018) Dual Craig-Bampton component mode synthesis method for model order reduction of nonclassically damped linear systems. Mech Syst Signal Process 111:678–698
Gruber FM, Gille M, Rixen DJ (2019) A strategy to stabilize the transient analysis and increase the approximation accuracy of dual Craig-Bampton reduced systems. Finite Elem Anal Des 160:32–45
Guyan R (1965) Reduction of mass and stiffness matrices. AIAA J 3(2):380
Herting D (1985) A general purpose, multi-stage, component modal synthesis method. Finite Elem Anal Des 1(2):153–164
Holzwarth P, Eberhard P (2015) SVD-based improvements for component mode synthesis in elastic multibody systems. Eur J Mech A Solids 49:408–418
Hong SK, Epureanu BI, Castanier MP (2013) Next-generation parametric reduced-order models. Mech Syst Signal Process 37(1–2):403–421
Hurty WC (1965) Dynamic analysis of structural systems using component modes. AIAA J 3(4):678–685
Irons B (1965) Structural eigenvalue problems – elimination of unwanted variables. AIAA J 3(5):961–962
Jakobsson H, Bengzon F, Larson MG (2011) Adaptive component mode synthesis in linear elasticity. Int J Numer Methods Eng 86:829–844
Kim JH, Kim J, Lee PS (2017) Improving the accuracy of the dual Craig-Bampton method. Comput Struct 191:22–32
Klerk DD, Rixen DJ, Voormeeren SN (2008) General framework for dynamic substructuring: history, review and classification of techniques. AIAA J 46(5):1169–1181
Krattiger D, Wu L, Zacharczuk M, Buck M, Kuether RJ, Allen MS, Tiso P, Brake MRW (2019) Interface reduction for Hurty/Craig-Bampton substructured models: review and improvement. Mech Syst Signal Process 114:579–603
Kuether RJ, Allen MS, Hollkamp JJ (2017) Modal substructuring of geometrically nonlinear finite element models with interface reduction. AIAA J 55(5):1695–1706
MacNeal RH (1971) Special issue on structural dynamics: a hybrid method of component mode synthesis. Comput Struct 1(4):581–601
Martinez D, Carne T, Gregory D, Miller A (1984) Combined experimental/analytical modelling using component mode synthesis. In: 25th structures, structural dynamics and materials conference, pp 140–152
Rixen D (2002) High order static correction modes for component mode synthesis. In: Fifth world Congress on computational mechanics, Vienna
Rixen D (2004) A dual Craig-Bampton method for dynamic substructuring. J Comput Appl Math 168(1–2):383–391
Rixen DJ (2009) Dual Craig-Bampton with enrichment to avoid spurious modes. In: IMACXXVII: international modal analysis conference, Orlando. Society for Experimental Mechanics, Bethel
Rixen DJ (2011) Interface reduction in the dual Craig-Bampton method based on dual interface modes. In: IMAC-XXIX: international modal analysis conference, Jacksonville. Society for Experimental Mechanics, Bethel
Rubin S (1975) Improved component-mode representation for structural dynamic analysis. AIAA J 13(8):995–1006
Shyu WH, Ma ZD, Hulbert GM (1997) A new component mode synthesis method: quasi-static mode compensation. Finite Elem Anal Des 24(4):197–298
Stoev J, Möhring J (2010) Hybrid reduction of non-symmetric mimo systems. In: Paul Sas et al. (ed) ISMA. KU Leuven, Leuven
Su TJ, Craig R (1991) Model reduction and control of flexible structures using Krylov vectors. J Guid Control Dyn 14(2):260–267
Voormeeren S (2012) Dynamic substructuring methodologies for integrated dynamic analysis of wind turbines. PhD thesis, Delft University of Technology, Delft
Voormeeren SN, van der Valk PLC, Rixen DJ (2011) Generalized methodology for assembly and reduction of component models for dynamic substructuring. AIAA J 49:1010–1020
Voormeeren S, Nortier B, Rixen D (2013) Error estimation and adaptive model reduction applied to offshore wind turbine modeling. In: IMAC-XXXI: international modal analysis conference, error estimation and adaptive model reduction applied to offshore wind turbine modeling. Society for Experimental Mechanics, Bethel
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Society for Experimental Mechanics
About this entry
Cite this entry
Rixen, D. (2022). Substructuring Concepts and Component Mode Synthesis. In: Allemang, R., Avitabile, P. (eds) Handbook of Experimental Structural Dynamics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4547-0_16
Download citation
DOI: https://doi.org/10.1007/978-1-4614-4547-0_16
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-4546-3
Online ISBN: 978-1-4614-4547-0
eBook Packages: EngineeringReference Module Computer Science and Engineering