Steady-state dynamics of a 3D tensegrity structure: Simulations and experiments

International Journal of Solids and Structures

Volumn 49, Issue 7-8, 2012, Pages 973-988

  Michielsen, J ^a   Fey, R H B ^a   Nijmeijer, H ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Bifurcations; Buckling; Experiments; Path following; Piecewise linear; Stability; Steady state analysis; Tensegrity structure

Indexed keywords

ASSUMED-MODE METHOD; BIFURCATION POINTS; COMPRESSIVE MEMBER; DISCRETIZATIONS; EXPERIMENTAL SETUP; LAGRANGE'S EQUATION; LINEAR DYNAMIC ANALYSIS; MATERIAL PROPERTY; MODELING AND ANALYSIS; NUMERICAL RESULTS; PATH FOLLOWING; PIECEWISE LINEAR; POINCARE; SINGLE MODE; STATIC STABILITY; STEADY-STATE ANALYSIS; STRUCTURE MODELS; TENSEGRITIES; TENSEGRITY STRUCTURE; TENSILE FORCES; VALIDATION STAGES;

BIFURCATION (MATHEMATICS); BUCKLING; CONVERGENCE OF NUMERICAL METHODS; DYNAMICS; EXCITED STATES; EXPERIMENTS; PIECEWISE LINEAR TECHNIQUES; POWER SPECTRAL DENSITY; PRESTRESSED BEAMS AND GIRDERS;

THREE DIMENSIONAL;

EID: 84857060692     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2011.12.011     Document Type: Article

References (30)

1. S. Adriaenssens, and M. Barnes Tensegrity spline beam and grid shell structures Eng. Struct. 23 2001 29 36
2. Aldrich, J.; 2004. Control synthesis for a class of light and agile robotic tensegrity structures. Ph.D. thesis, University of California.
3. Doedel, J.; 2007. Numerical Continuation Methods for Dynamical Systems. Department of Computer Science, Concordia University, Montreal.
4. Doedel, E.; Paffenroth, R.; Champneys, A.; Fairgrieve, T.; Kuznetsov, Y.; Oldeman, B.; Sandstede, B.; Wang, X.; 1998. AUTO97: Continuation and bifurcation software for ordinary differential equations (with HOMCONT). Technical report, Concordia University.
5. J. Duffy, J. Rooney, B. Knight, and C. Crane Review of a family of self-deploying tensegrity structures with elastic ties Shock Vib. 32 2000 100 106 (Pubitemid 30592168)
6. M. Feigenbaum Universal behavior in nonlinear systems Physica 7D 1983 16 39
7. R. Fey, N. Mallon, C. Kraaij, and H. Nijmeijer Nonlinear resonances in an axially excited beam carrying a top mass: simulations and experiments Nonlinear Dyn. 66 3 2011 285 302
8. Franken, J.; 2008. TUeDACS MicroGiant. Eindhoven University of Technology.
9. Fuller, R.; 1962. Tensile integrity structures. United States Patent 3063521.
10. H. Furuya Concepts of deployable structures in space applications Int. J. Space Struct. 7 1992 143 152
11. H. Kanchanasaratool, and D. Williamson Modeling and control of class nsp tensegrity structures Int. J. Control 75 2002 123 139 (Pubitemid 34586355)
12. Koiter, W.; 1945. Over de stabiliteit van het elastisch evenwicht. Ph.D. thesis, Delft University of Technology.
13. K. Lazopoulos Stability of an elastic tensegrity structure Acta Mech. 179 2005 1 10 (Pubitemid 41406749)
14. Mallon, N.; 2008. Dynamic stability of thin-walled structures: a semi-analytical and experimental approach. Ph.D. thesis, Eindhoven University of Technology.
15. N. Mallon, R. Fey, and H. Nijmeijer Dynamic stability of a thin cilindrical shell with top mass subjected to harmonic base-acceleration Int. J. Solids Struct. 45 6 2008 1587 1613 (Pubitemid 351172249)
16. N. Mallon, R. Fey, and H. Nijmeijer Dynamic stability of a base-excited thin orthotropic cylindrical shell with top mass: similations and experiments J. Sound Vib. 329 15 2010 3149 3170
17. M. Masic, and R. Skelton Open-loop controll of class-2 tensegrity towers Proc. SPIE 5383 2004 298 308
18. R. Motro Tensegrity systems: the state of the art Int. J. Space Struct. 7 2 1992 75 83
19. H. Murakami Static and dynamic analyses of tensegrity structures. Part I. Nonlinear equations of motion Int. J. Solids Struct. 38 2001 3599 3613 (Pubitemid 32386592)
20. H. Murakami Static and dynamic analyses of tensegrity structures. Part II. Quasi-static analysis Int. J. Solids Struct. 38 2001 3615 3629 (Pubitemid 32386593)
21. I. Oppenheim, and W. Williams Vibration of an elastic tensegrity structure Eur. J. Mech. A 20 2001 1023 1031 (Pubitemid 33120612)
22. J. Quirant, M. Kazi-Aoual, and R. Motro Designing tensegrity systems: the case of a double layer grid Eng. Struct. 25 2003 1121 1130 (Pubitemid 36738699)
23. Skelton, R.; 2006. Dynamics of Tensegrity Systems: Compact Forms. In: Proceedings of the 45th IEEE Conference on Decision and Control.
24. R. Skelton, and M. de Oliveira Tensegrity Systems 2009 Springer Dordrecht
25. K. Snelson Tensegrity Masts 1973 Shelter Publications
26. C. Sultan, and M. Corless Tensegrity flight simulator J. Guid. Control Dyn. 23 2000 1055 1064 (Pubitemid 32067674)
27. C. Sultan, and R. Skelton A force and torque tensegrity sensor Sensors Actuators A 112 2004 220 231
28. Sultan, C.; Corless, M.; Skelton, R.; 1999. Peak to peak control of an adaptive tensegrity space telescope. In: Proceedings of SPIE the International Society for Optical Engineering 3667, pp. 190-201.
29. J. Thomsen Vibrations and Stability; Advanced Theory, Analysis, and Tools 2nd ed. 2003 Springer Berlin
30. B. Tongue Principles of Vibration 1996 Oxford University Press Inc. New York