Geometrically exact, intrinsic theory for dynamics of curved and twisted anisotropic beams

AIAA Journal

Volumn 41, Issue 6, 2003, Pages 1131-1137

  Hodges, Dewey H ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CURVED BEAMS AND GIRDERS; DEFORMATION; DYNAMICS; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; STRUCTURAL LOADS;

CURVED ANISOTROPIC BEAMS; DISCRETIZATION; INTRINSIC EQUATIONS; TWISTED ANISOTROPIC BEAMS;

AIRFRAMES;

EID: 0037596511     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.2054     Document Type: Article

References (18)

1. Love, A. E. H., Mathematical Theory of Elasticity, 4th ed., Dover, New York, 1944, Articles 260, 261.
2. Reissner, E., "On One-Dimensional Large-Displacement Finite-Strain Beam Theory," Studies in Applied Mathematics, Vol. 52, No. 2, 1973, pp. 87-95.
3. Borri, M. and Mantegazza, P., "Some Contributions on Structural and Dynamic Modeling of Helicopter Rotor Blades," l'Aerotecnica Missili e Spazio, Vol. 64, No. 9, 1985, pp. 143-154.
4. 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.
5. Patil, M. J., Hodges, D. H., and Cesnik, C. E. S., "Nonlinear Aeroelastic Analysis of Complete Aircraft in Subsonic Flow," Journal of Aircraft, Vol. 37, No. 5, 2000, pp. 753-760.
6. Hodges, D. H., Patil, M. J., and Chae, S., "Effect of Thrust on Bending-Torsion Flutter of Wings," Journal of Aircraft, Vol. 39, No. 2, 2002, pp. 371-376.
7. Hodges, D. H., Shang, X., and Cesnik, C.E.S., "Finite Element Solution of Nonlinear Intrinsic Equations for Curved Composite Beams," Journal of the American Helicopter Society, Vol. 41, No. 4, 1996, pp. 313-321.
8. Shang, X., Hodges, D. H., and Peters, D. A., "Aeroelastic Stability of Composite Hingeless Rotors in Hover with Finite-State Unsteady Aerodynamics," Journal of the American Helicopter Society, Vol. 44, No. 3, 1999, pp. 206-221.
9. Borri, M., Ghiringhelli, G. L., and Merlini, T., "Linear Analysis of Naturally Curved and Twisted Anisotropic Beams," Composites Engineering, Vol. 2, No. 5-7, 1992, pp. 433-456.
10. Yu, W., Hodges, D. H., Volovoi, V. V., and Cesnik, C. E. S., "On Timoshenko-Like Modeling of Initially Curved and Twisted Composite Beams," International Journal of Solids and Structures, Vol. 39, No. 19, 2002, pp. 5101-5121.
11. Barsoum, R. S., "Finite Element Method Applied to the Problem of Stability of a Nonconservative System," International Journal for Numerical Methods in Engineering, Vol. 3, 1971, pp. 63-87.
12. Wohlhart, K., "Dynamische Kippstabilität eines Plattenstreifens unter Folgelast," Zeitschrift für Flugwissenschaften, Vol. 19, No. 7, 1971, pp. 291-298.
13. Hodges, D. H., "Lateral-Torsional Flutter of a Deep Cantilever Loaded by a Lateral Follower Force at the Tip," Journal of Sound and Vibration, Vol. 247, No. 1, 2000, pp. 175-183.
14. Detinko, F. M., "Some Phenomena for Lateral Flutter of Beams Under Follower Load," International Journal of Solids and Structures, Vol. 39, No. 2, 2002, pp. 341-350.
15. Simo, J. C., and Wong, K. K., "Unconditionally Stable Algorithms for Rigid Body Dynamics That Exactly Preserve Energy and Momentum," International Journal for Numerical Methods in Engineering, Vol. 31, 1991, pp. 19-52.
16. Simo, J. C., and Tarnow, N., "The Discrete Energy-Momentum Method. Conserving Algorithms for Non-Linear Dynamics," Zeitschrift für Angewandte Mathematik und Physik, Vol. 43, 1992, pp. 757-792.
17. Bauchau, O. A., and Theron, N. J., "Energy Decaying Schemes for Nonlinear Beam Models," Computer Methods in Applied Mechanics and Engineering, Vol. 134, 1996, pp. 37-56.
18. Bauchau, O. A., and Bottasso, C. L., "On the Design of Energy Preserving and Decaying Schemes for Flexible, Non-Linear Multi-Body Systems," Computer Methods in Applied Mechanics and Engineering, Vol. 169, 1999, pp. 61-79.