Simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody systems

Nonlinear Dynamics

Volumn 69, Issue 1-2, 2012, Pages 127-147

  Liu, Cheng ^a   Tian, Qiang ^a   Hu, Haiyan ^a   García Vallejo, Daniel ^b  

^a BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^b UNIVERSITY OF SEVILLE   (Spain)

Author keywords

Absolute nodal coordinate formulation (ANCF); Impose moment; Joint reaction forces; Natural coordinate formulation (NCF)

Indexed keywords

ABSOLUTE NODAL COORDINATE FORMULATION; CO-ORDINATE TRANSFORMATION; CONSTRAINT CONDITIONS; DYNAMIC EQUATIONS; FINITE ELEMENT; FLEXIBLE BODIES; GENERALIZED FORCE; IMPOSE MOMENT; JOINT REACTION FORCES; MASS MATRICES; MULTI BODY SYSTEMS; NATURAL COORDINATES; PHYSICAL MEANINGS; RIGID BODY; RIGID-FLEXIBLE; ROTATIONAL COORDINATES;

LAGRANGE MULTIPLIERS;

VECTORS;

EID: 84861739942     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-011-0251-8     Document Type: Article

References (30)

1. Shabana, A.A.: An absolute nodal coordinates formulation for the large rotation and deformation analysis of flexible bodies. Technical Report. No. MBS96-1-UIC, University of Illinois at Chicago (1996)
2. A.A. Shabana 1997 Definition of the slopes and absolute nodal coordinate formulation Multibody Syst. Dyn. 1 339 348 1611296 0890.73071 10.1023/A:1009740800463 (Pubitemid 127508385)
3. P. Eberhard W. Schiehlen 2006 Computational dynamics of multibody systems history, formalisms, and applications J. Comput. Nonlinear Dyn. 1 3 12 10.1115/1.1961875 (Pubitemid 44445051)
4. Yoo, W.S., Dmitrochenko, O., Yu, D.: Review of finite elements using absolute nodal coordinates for large-deformation problems and matching physical experiments. In: ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2005-84720, Long Beach, CA (2005)
5. W. Schiehlen 2007 Research trends in multibody system dynamics Multibody Syst. Dyn. 18 3 13 2331310 1118.70007 10.1007/s11044-007-9064-4 (Pubitemid 46897515)
6. D. García-Vallejo A.M. Mikkola J.S. Escalona 2007 A new locking-free shear deformable finite element based on absolute nodal coordinates Nonlinear Dyn. 50 249 264 1193.74148 10.1007/s11071-006-9155-4 (Pubitemid 47327544)
7. J. Gerstmayr M.K. Matikainen A.M. Mikkola 2008 A geometrically exact beam element based on the absolute nodal coordinate formulation Multibody Syst. Dyn. 20 359 384 2443075 05624258 10.1007/s11044-008-9125-3
8. Q. Tian Y. Zhang L. Chen P. Flores 2009 Dynamics of spatial flexible multibody systems with clearance and lubricated spherical joints Comput. Struct. 87 913 929 10.1016/j.compstruc.2009.03.006
9. Q. Tian Y. Zhang L. Chen J. Yang 2010 Simulation of planar flexible multibody systems with clearance and lubricated revolute joints Nonlinear Dyn. 60 489 511 1194.70013 10.1007/s11071-009-9610-0
10. A.M. Abdel-Nasser A.A. Shabana 2011 A nonlinear visco-elastic constitutive model for large rotation finite element formulations Multibody Syst. Dyn. 26 57 79 2796278 05905323 10.1007/s11044-011-9244-0
11. García De Jalón, J., Bayo, E.: Kinematic and Dynamic Simulation of Multibody Systems: The Real-Time Challenge. Springer, New York (1994)
12. J. García De Jalón 2007 Twenty-five years of natural coordinates Multibody Syst. Dyn. 18 15 33 2331311 1180.70014 10.1007/s11044-007-9068-0 (Pubitemid 46897516)
13. D. García-Vallejo J.L. Escalona J. Mayo J. Domínguez 2003 Describing rigid-flexible multibody systems using absolute coordinates Nonlinear Dyn. 34 75 94 1041.74541 10.1023/B:NODY.0000014553.98731.8d
14. D. García-Vallejo J. Mayo J.L. Escalona J. Domínguez 2008 Three-dimensional formulation of rigid-flexible multibody systems with flexible beam elements Multibody Syst. Dyn. 20 1 28 2415002 05319048 10.1007/s11044-008- 9103-9
15. Q. Tian C. Liu M. Machado P. Flores 2011 A new model for dry and lubricated cylindrical joints with clearance in spatial flexible multibody systems Nonlinear Dyn. 64 25 67 10.1007/s11071-010-9843-y
16. C. Liu Q. Tian H.Y. Hu 2011 Dynamics of a large scale rigid-flexible multibody system composed of composite laminated plates Multibody Syst. Dyn. 26 283 305 06000281 10.1007/s11044-011-9256-9
17. J. García De Jalón A. Callejo 2011 A straight methodology to include multibody dynamics in graduate and undergraduate subjects Mech. Mach. Theory 46 168 182 10.1016/j.mechmachtheory.2010.09.008
18. P. Betsch E. Stein 1995 An assumed strain approach avoiding artificial thickness straining for a nonlinear 4-node shell element Commun. Numer. Methods Eng. 11 899 909 0833.73051 10.1002/cnm.1640111104
19. M.A. Omar A.A. Shabana 2001 A two-dimension shear deformable beam for large rotation and deformation problems J. Sound Vib. 243 565 576 10.1006/jsvi.2000.3416 (Pubitemid 32542968)
20. J.T. Sopanen A.M. Mikkola 2003 Description of elastic forces in absolute nodal coordinate formulation Nonlinear Dyn. 34 53 74 1041.74547 10.1023/B:NODY.0000014552.68786.bc
21. J. Gerstmayr A.A. Shabana 2006 Analysis of thin beams and cables using the absolute nodal co-ordinate formulation Nonlinear Dyn. 45 109 130 1138.74391 10.1007/s11071-006-1856-1 (Pubitemid 44048452)
22. K. Dufva A.A. Shabana 2005 Analysis of thin plate structures using the absolute nodal coordinate formulation Proc. Inst. Mech. Eng., Proc., Part K, J. Multi-Body Dyn. 219 345 355 (Pubitemid 41738500)
23. I. Romero J.J. Arribas 2009 A simple method to impose rotations and concentrated moments on ANC beams Multibody Syst. Dyn. 21 307 323 2496018 1232.74054 10.1007/s11044-008-9140-4
24. A.A. Shabana R.Y. Yakoub 2001 Three-dimensional absolute nodal coordinate formulation for beam elements: theory J. Mech. Des. 123 606 613 (Pubitemid 33716254)
25. R.Y. Yakoub A.A. Shabana 2001 Three dimensional absolute nodal coordinate formulation for beam elements: implementation and applications J. Mech. Des. 123 614 621 10.1115/1.1410099 (Pubitemid 33716255)
26. Shabana, A.A.: Dynamics of Multibody Systems. Cambridge University Press, New York (2005)
27. M. Arnold O. Brüls 2007 Convergence of the generalized-a scheme for constrained mechanical systems Multibody Syst. Dyn. 18 185 202 2349272 1121.70003 10.1007/s11044-007-9084-0 (Pubitemid 47325592)
28. K.E. Dufva J.T. Sopanen A.M. Mikkola 2006 Three dimensional beam element based on a cross sectional coordinate system approach Nonlinear Dyn. 43 311 327 1145.74037 10.1007/s11071-006-8326-7
29. Timoshenko, S., Gere, J.: Mechanics of Materials. Van Nostrand Reinhold, New York (1972)
30. W. Xu Y. Liu B. Liang X. Wang Y. Xu 2010 Unified multi-domain modeling and simulation of space robot for capturing a moving target Multibody Syst. Dyn. 23 293 331 2594018 05827624 10.1007/s11044-009-9184-0