A beam formulation with shell capabilities

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

Volumn , Issue , 2010, Pages

  Carrera, Erasmo ^a   Petrolo, Marco ^a,b  

^a POLITECNICO DI TORINO   (Italy)

^b INSTITUT JEAN LE ROND D ALEMBERT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

KINEMATICS; STRUCTURAL DYNAMICS;

ARBITRARY CROSS SECTION; CLASSICAL BEAM THEORY; CROSS-SECTION GEOMETRY; DISPLACEMENT COMPONENTS; FINITE ELEMENT FORMULATIONS; GENERALIZED DISPLACEMENTS; HIGHER-ORDER BEAM THEORIES; UNIFIED FORMULATIONS;

THIN WALLED STRUCTURES;

EID: 84855627515     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2010-3021     Document Type: Conference Paper

References (19)

1. Kapania, K. and Raciti, S., "Recent Advances in Analysis of Laminated Beams and Plates, Part I: Shear Effects and Buckling," AIAA JOURNAL, Vol. 27, No. 7, 1989, pp. 923-935.
2. Kapania, K. and Raciti, S., "Recent Advances in Analysis of Laminated Beams and Plates, Part II: Vibrations and Wave propagation," AIAA JOURNAL, Vol. 27, No. 7, 1989, pp. 935-946.
3. Eisenberger, M., "An exact high order beam element," Computers and Structures, Vol. 81, 2003, pp. 147-152.
4. Volovoi, V. V., Hodges, D. H., Berdichevsky, V. L., and Sutyrin, V. G., "Asymptotic theory for static behavior of elastic anisotropic I-beams," International Journal of Solid Structures, Vol. 36, 1999, pp. 1017-1043.
5. Yu, W. and Hodges, D. H., "Elasticity Solutions Versus Asymptotic Sectional Analysis of Homogeneous, Isotropic, Prismatic Beams," Journal of Applied Mechanics, Vol. 71, 2004, pp. 15-23.
6. Yu, W., Volovoi, V. V., Hodges, D. H., and Hong, X., "Validation of the variational asymptotic beam sectional analysis (VABS)," AIAA Journal, Vol. 40, 2002, pp. 2105-2113.
7. Carrera, E., "Theories and finite elements for multilayered plates and shells," Archives of Computational Methods in Engineering, Vol. 9, No. 2, 2002, pp. 87-140.
8. Carrera, E., "Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking," Archives of Computational Methods in Engineering, Vol. 10, No. 3, 2003, pp. 216-296.
9. Carrera, E. and Giunta, G., "Refined beam theories based on Carrera's Unified Formulation," International Journal of Applied Mechanics, In Press.
10. Giunta, G., Carrera, E., and Belouettar, S., "A Refined Beam Theory with only Displacement Variables and Deformable Cross-Section," 50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Palm Springs, California 4 - 7 May 2009, 2009.
11. Carrera, E., Giunta, G., Nali, P., and Petrolo, M., "Refined beam elements with arbitrary cross-section geometries," Computers and Structures, Vol. 88, No. 5-6, 2010, pp. 283-293, DOI: 10.1016/j.compstruc.2009. 11.002.
12. Carrera, E., Petrolo, M., and Nali, P., "Unified formulation applied to free vibrations finite element analysis of beams with arbitrary section," Shock and Vibrations, Vol. 17, 2010, pp. 1-18, DOI: 10.3233 SAY-2010-0528.
13. Carrera, E. and Petrolo, M., "On the Effectiveness of Higher-Order Terms in Refined Beam Theories," Journal of Applied Mechanics, In Press.
14. Tsai, S. W., Composites Design, Dayton, Think Composites, 4th ed., 1988.
15. Reddy, J. N., Mechanics of laminated composite plates and shells. Theory and Analysis, CRC Press, 2nd ed., 2004.
16. Carrera, E. and Brischetto, S., "Analysis of thickness locking in classical, refined and mixed multilayered plate theories," Composite Structures, Vol. 82, No. 4, 2008, pp. 549-562.
17. Carrera, E. and Brischetto, S., "Analysis of thickness locking in classical, refined and mixed theories for layered shells," Composite Structures, Vol. 85, No. 1, 2008, pp. 83-90.
18. Bathe, K., Finite element procedure, Prentice hall, 1996.
19. Carrera, E., Petrolo, M., and Varello, A., "Advanced Beam Formulations for Free Vibration Analysis of Conventional and Joined Wings " Submitted.