Intrinsic equations for the nonlinear dynamics of space beams

AIAA Journal

Volumn 34, Issue 8, 1996, Pages 1657-1663

  Libai, A ^a,b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b AIAA ^*

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347973632     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.13286     Document Type: Article

References (22)

1. Rosen, A., "Structural and Dynamic Behavior of Pretwisted Rods and Beams," Applied Mechanics Reviews, Vol. 44, No. 12, Pt. 1, 1991, pp. 483-515.
2. Hodges, D. H., "Nonlinear Beam Kinematics for Small Strains and Finite Relations," Vertica, Vol. 11, No. 3, 1987, pp. 573-589.
3. Love, A. E., A Treatise on the Mathematical Theory of Elasticity, 4th ed., Dover, New York, 1927, Chaps. 16-19.
4. Antman, S. S., "The Theory of Rods," Mechanics of Solids, Vol. II, edited by C. Truesdell, Springer-Verlag, Berlin, 1984.
5. Reissner, E., "On Finite Deformation of Space-Curved Beams," Journal of Applied Mathematics and Physics, Vol. 32, No. 6, 1981, pp. 734-744.
6. Danielson, D. A., and Hodges, D. H., "A Beam Theory for Large Global Rotation, Moderate Local Rotation, and Small Strain," Journal of Applied Mechanics, Vol. 55, March 1988, pp. 179-184.
7. Simo, J. C., "A Finite Strain Beam Formulation. The Three-Dimensional Dynamic Problem. Part I," Computer Methods in Applied Mechanics and Engineering, Vol. 49, No. 1, 1985, pp. 55-70.
8. Simo, J. C., and Vu-Quoc, L., "On the Dynamics in Space of Rods Undergoing Large Motions - A Geometrically Exact Approach," Computer Methods in Applied Mechanics and Engineering, Vol. 66, No. 2, 1988, pp. 125-161.
9. Hodges, D. H., "A Mixed Variational Formulation Based on Exact Intrinsic Equations for Dynamics of Moving Beams," International Journal of Solids and Structures, Vol. 26, No. 11, 1990, pp. 1253-1273.
10. McDonough, T. B., "Formulation of the Global Equations of Motion of a Deformable Body," AIAA Journal, Vol. 14, No. 5, 1976, pp. 656-660.
11. Canavin, J. R., and Likins, P. W., "Floating Reference Frames for Flexible Spacecraft," Journal of Spacecraft and Rockets, Vol. 14, No. 2, 1977, pp. 724-732.
12. Laskin, R. A., Likins, P. W., and Longman, R. W., "Dynamical Equations of a Free-Free Beam Subject to Large Overall Motions," Journal of the Astronautical Sciences, Vol. 31, No. 4, 1983, pp. 507-528.
13. Davis, J. H., and Hirschorn, R. M., "A Model for the Embedded Tendon Control of a Slender Three-Dimensional Flexible Robot Link," Dynamics and Control, Vol. 4, April 1994, pp. 185-208.
14. Libai, A., "Intrinsic Equations for the Nonlinear Dynamics of Space Beams," AIAA Paper 94-1676, April 1994.
15. Green, A. E., and Laws, N., "A General Theory of Rods," Proceedings of the Royal Society of London, Series A, Vol. 293, 1966, pp. 145-155.
16. Naghdi, P. M., and Rubin, M. B., "Constrained Theories of Rods," Journal of Elasticity, Vol. 14, No. 4, 1984, pp. 343-361.
17. Libai, A., "On the Nonlinear Elastokinetics of Shells and Beams," Journal of the Aerospace Sciences, Vol. 29, No. 10, 1962, pp. 1190-1195, 1209.
18. Libai, A., "On the Nonlinear Intrinsic Dynamics of Doubly Curved Shells," Journal of Applied Mechanics, Vol. 48, Dec. 1981, pp. 909-914.
19. Libai, A., "Nonlinear Shell Dynamics - Intrinsic and Semi-Intrinsic Approaches," Journal of Applied Mechanics, Vol. 50, Sept. 1983, pp. 531-536.
20. Libai, A., and Simmonds, J. G., "Nonlinear Elastic Shell Theory," Advances in Applied Mechanics, Vol. 23, Academic, New York, 1983, pp. 271-371 (Sec. III.J.3).
21. Libai, A., and Simmonds, J. G., The Nonlinear Theory of Elastic Shells, Academic, San Diego, CA, 1988, pp. 38, 112, 113, 291-293.
22. Simo, J. C., and Vu-Quoc, L., "On the Dynamics of Flexible Beams Under Large Overall Motions - The Planar Case: Part I," Journal of Applied Mechanics, Vol. 53, Dec. 1986, pp. 849-854; also Pt. II, pp. 855-863.