Energy-consistent, Galerkin approach for the nonlinear dynamics of beams using mixed, intrinsic equations

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 3, Issue , 2006, Pages 1785-1793

  Patil, Mayuresh J ^a,b,c   Althoff, Matthias ^a,b,d  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b Department of Aerospace and Ocean Engineering ^*

^c AIAA   (United States)

^d TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34147214595     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2006-1737     Document Type: Conference Paper

References (11)

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2. Patil, M. J. and Hodges, D. H., "Flight Dynamics of Highly Flexible Flying Wings," Proceedings of the International Forum on Aeroelasticity and Structural Dynamics, Munich, Germany, June 2005.
3. 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.
4. Hodges, D. H., "Geometrically Exact, Intrinsic Theory for Dynamics of Curved and Twisted Anisotropie Beams," AIAA Journal, Vol. 41, No. 6, 2003, pp. 1131-1137.
5. Johnson, E. R., Vasiliev, V. V., and Vasiliev, D. V., "Anisotropie Thin-Walled Beams with Closed Cross-Sectional Contours," AIAA Journal, Vol. 39, No. 12, 2001, pp. 2389-2393.
6. Cesnik, C. E. S. and Hodges, D. H., "VABS: A New Concept for Composite Rotor Blade Cross-Sectional Modeling," Journal of the American Helicopter Society, Vol. 42, No. 1, January 1997, pp. 27-38.
7. Abramowitz, M. and Stegun, I. A., Handbook of Mathematical Functions, Dover Publications, New York, 1968.
8. Patil, M. J., "Decoupled Second-Order Equations and Modal Analysis of a General Non-Conservative System," Proceedings of the AIAA Dynamics Specialists Conference, Atlanta, Georgia, April 2000, AIAA-2000-1654.
9. Wright, A. D., Smith, C. E., Thresher, R. W., and Wang, J. L. C., "Vibration Modes of Centrifugally Stiffened Beams," Journal of Applied Mechanics, Vol. 49, Mar. 1982, pp. 197-202.
10. Bauchau, O. A. and Guernsey, D., "On the Choice of Appropriate Bases for Nonlinear Dynamic Modal Analysis," Journal of the American Helicopter Society, Vol. 38, No. 4, Oct. 1993, pp. 28-36.
11. Shaw, S. W. and Pierre, C., "Normal Modes for Nonlinear Vibratory Systems," Journal of Sound and Vibration, Vol. 164, No. 1, Jun. 1992, pp. 85-124.