Direct eigenanalysis of constrained system dynamics

Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics

Volumn 223, Issue 4, 2010, Pages 335-342

  Masarati, P ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Flexible mechanisms; Generalized eigenanalysis; Modal analysis; Relative motion; Rotating modes

Indexed keywords

CONSTRAINED SYSTEMS; DETAILED MODELS; EIGENANALYSIS; EIGENSOLUTION; FLEXIBLE MECHANISMS; GENERALIZED EIGENANALYSIS; HELICOPTER ROTOR BLADES; MULTI-BODY; RELATIVE MOTION; STEADY SOLUTION;

MODAL ANALYSIS; ROTATION; TURBOMACHINE BLADES;

HELICOPTER ROTORS;

EID: 76149114598     PISSN: 14644193     EISSN: None     Source Type: Journal    
DOI: 10.1243/14644193JMBD211     Document Type: Article

References (23)

1. Schilders,W. H. A., van der Vorst,H. A., and Rommes, J. Model order reduction: theory, research aspects and applications, 2008 (Springer, Berlin, Heidelberg).
2. Craig Jr, R. R. and Bampton, M. C. C. Coupling of substructures for dynamic analysis. AIAA J., 1968, 6(7), 1313-1319.
3. Schiehlen, W. Multibody system dynamics: roots and perspectives. Multibody Syst. Dyn., 1997, 1(2), 149-188. DOI: 10.1023/A:1009745432698.
4. Shabana, A. A. Flexible multibody dynamics: review of past and recent developments. Multibody Syst. Dyn., 1997, 1(2), 189-222. DOI: 10.1023/A:1009773505418.
5. Géradin, M. and Cardona, A. Flexible multibody dynamics: a finite element approach, 2001 (JohnWiley and Sons, Chichester).
6. Da Lio, M. and Lot, R. Analisi modale di sistemi multibody descritti in coordinate naturali (in Italian). In Proceedings of the XIVCongressoNazionaleAIMETA,Como, Italy, 6-9 October 1999.
7. Cossalter,V.,Lot, R.,andMaggio,F.The modal analysis of a motorcycle in straight running and on a curve. Meccanica, 2004, 39(1),1-16. DOI: 10.1023/A:1026269926222.
8. Wallrapp, O. Standardization of flexible body modeling in multibody system codes, part I: definition of standard input data.Mech. Struct.Mach., 1994, 22(3), 283-304.
9. Koutsovasilis, P. and Beitelschmidt, M. Comparison of model reduction techniques for large mechanical systems-a study on an elastic rod. Multibody Syst. Dyn., 2008, 20, 111-128. DOI: 10.1007/s11044-008-9116-4.
10. Boschi, V., De Salvo, R., Masarati, P., Quaranta, G., and Sannibale, V. Seismic attenuation system synthesis by reduced order models from multibody analysis. In Proceedings of the Multibody Dynamics 2007, ECCOMAS Thematic Conference,Milano, 25-28 June 2007.
11. Escalona, J. L. and Chamorro, R. Stability analysis of vehicles on circular motions using multibody dynamics. NonlinearDyn., 2008, 53, 237-250. DOI: 10.1007/s11071-007-9311-9315
12. Nikravesh, P. E. Newtonian-based methodologies in multi-body dynamics. Proc. IMechE, Part K: J. Multibody Dynamics, 2008, 222(K4), 277-288. DOI: 10.1243/ 14644193JMBD152.
13. Brenan, K. E.,Campbell, S. L., and Petzold, L. R. Numerical solution of initial-value problems in differentialalgebraic equations, 1989 (North-Holland, NewYork).
14. MBDyn: multibody dynamics, available from http:// www.aero.polimi.it/ mbdyn/ (accessedMarch 2009).
15. Lambert, J. D. Numerical methods for ordinary differential systems, 1991 (JohnWiley & Sons Ltd, Chichester, England).
16. Anderson, E., Bai, Z., Bischof, C., Blackford, S., Demmel, J., Dongarra, J., Du Croz, J., Greenbaum, A., Hammarling, S., McKenney, A., and Sorensen, D. LAPACK users' guide, 1999 (SIAM, Philadelphia, Pennsylvania, USA).
17. Stewart, G.W. On the sensitivity of the eigenvalue problem Ax = ?Bx. SIAM J. Numer. Anal., 1972, 9(4), 669-686. DOI: 10.1137/0709056.
18. Moler,C. B. and Stewart, G.W. An algorithm for generalized matrix eigenvalue problems. SIAM J. Numer. Anal., 1973, 10(2), 241-256. DOI: 10.1137/0710024.
19. Lehoucq, B., Sorensen, D. C., and Vu, P. ARPACK: an implementation of the implicitly re-started arnoldi iteration that computes some of the eigenvalues and eigenvectors of a large sparse matrix. Technical report, 1995. Available from netlib@ornl.gov under the directory scalapack.
20. KeatsWilkie,W.,Mirick,P. H.,and Langston,C.W. Rotating shake test and modal analysis of a model helicopter rotor blade. ARL technical report 1389, TM 4760, NASA, June 1997.
21. Johnson, W. Helicopter theory, 1980 (Princeton University Press, Princeton, New Jersey).
22. Bielawa, R. L. Rotary wing structural dynamics and aeroelasticity, 1992 (AIAA,Washington, DC).
23. Ghiringhelli, G. L., Masarati, P., and Mantegazza, P. A multi-body implementation of finite volume beams. AIAA J., 2000, 38(1), 131-138.