This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bauld, N. R. Jr. and Tzeng, L-S. (1984) “A Vlasov Theory for Fiber-Reinforced Beams with Thin-Walled Open Cross-Sections,” International Journal of Solids and Structures, Vol. 20, No. 3, pp. 277–297.
Berdichevsky, V. L., Armanios, E. A. and Badir, A. M. (1992) “Theory of Anisotropy Thin-Walled Closed-Section Beams,” Composites Engineering, Vol. 2, Nos. 5–7, pp. 411–432.
Bhaskar, K. and Librescu, L. (1995) “A Geometrically Non-Linear Theory for Laminated Anisotropic Thin-Walled Beams,” International Journal of Engineering Science, Vol. 33, No. 9, pp. 1331–1344.
Chandiramani, N. K., Librescu, L. and Shete, C. D., (2002) “On the Free Vibration of Rotating Thin-Walled Composite Beams Using a Higher Order Shear Formulation,” Aerospace Science and Technology, Vol. 6, pp. 545–561.
Chen, C-N., (2000) “Dynamic Equilibrium Equations of Composite Anisotropic Beams Considering the Effects of Transverse Shear Deformations and Structural Damping,” Composite Structures, Vol. 48, pp. 287–303.
Green, A. E. and Adkins, J. E. (1960) Large Elastic Deformations and Non-Linear Continuum Mechanics, Oxford, Clarendon Press.
Johnson, E. R., Vasiliev, V. V. and Vasiliev, D. V., (2001) “Anisotropic Thin-Walled Beams with Closed Cross-Sectional Contours,” AIAA Journal, Vol. 39, No. 12, pp. 2389–2393.
Jung, S. N., Nagaraj, V. T. and Chopra, I. (1999) “Assessment of Composite Rotor Blade: Modeling Techniques,” Journal of the American Helicopter Society, Vol. 44, No. 2, pp. 188–205.
Librescu, L. (1975) Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures, Leyden, The Netherlands: Noordhoff International Publishing.
Librescu, L. (1987) “Refined Geometrically Non-Linear Theories of Anisotropic Laminated Shells,” Quarterly of Applied Mathematics, Vol. 45, No. 1, pp. 1–22.
Librescu, L. and Song, O. (1991) “Behavior of Thin-Walled Beams Made of Advanced Composite Materials and Incorporating Non-Classical Effects,” Applied Mechanics Reviews, Vol. 44, No. 11, pp. 174–180.
Librescu, L. and Song, O. (1992) “On the Static Aeroelastic Tailoring of Composite Aircraft Swept Wings Modeled as Thin-Walled Beam Structures,” Composites Engineering, Vol. 2, Nos. 5–7, pp. 497–512.
Librescu, L., Meirovitch, L. and Song, O. (1996) “Refined Structural Modeling for Enhancing Vibration and Aeroelastic Characteristics of Composite Aircraft Wings,” La Recherche Aérospatiale, Vol. 1, pp. 23–35.
Librescu, L., Meirovitch, L. and Na, S. S. (1997) “Control of Cantilevers Vibration via Structural Tailoring and Adaptive Materials,” AIAA Journal, Vol. 35, No. 8, pp. 1309–1315.
Murray, D.W. and Rajasekaran, S. (1975) “Technique for Formulating Beam Equations,” Journal of the Engineering Mechanics Division, EM5, October, pp. 561–573.
Polillo, V. R., Viccaca, S. F. and Garcia, L. F. T. (1992) “Variational Approach for Geometrically Nonlinear Analysis of Combined Flexure and Torsion of Thin-Walled Bars with Open Cross Section Under Dynamic Loading,” Revista Brasileira de Engenharia Estructural, Vol. 8, No. 2, pp. 33–56.
Qin, Z and Librescu, L., (2001) “Static and Dynamic Validations of a Refined Thin-Walled Composite Beam Model,” AIAA Journal, Vol. 39, No. 12, pp. 2422–2424.
Qin, Z. and Librescu, L., (2002) “On a Shear-Deformable Theory of Anisotropic Thin-Walled Beams: Further Contribution and Validations,” Composite Structures, Vol. 56, No. 4, pp. 345–358.
Rehfield, L. W. (1985) “Design Analysis Methodology for Composite Rotor Blades,” Proceedings of the 7th DoD/NASA Conference on Fibrous Composites in Structural Design, June, Denver, Co.
Smith, E. C. and Chopra, I. (1991) “Formulation and Evaluation of an Analytical Model for Composite Box Beams,” Journal of the American Helicopter Society, Vol. 36, No. 3, pp. 23–35.
Song, O. (1990) “Modeling and Response Analysis of Thin-Walled Beam Structures Constructed of Advanced Composite Materials,” Ph.D. Dissertation, Virginia Polytechnic Institute & State University, VA, USA.
Song, O. and Librescu, L. (1993) “Free Vibration of Anisotropic Composite Thin-Walled Beams of Closed Cross-Section Contour,” Journal of Sound and Vibration, Vol. 164, No. 1, pp. 129–147.
Rights and permissions
Copyright information
© 2006 Springer
About this chapter
Cite this chapter
(2006). The Equations of Motion of Open/Closed Cross-Section Beams. In: Thin-Walled Composite Beams. Solid Mechanics and Its Applications, vol 131. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4203-5_3
Download citation
DOI: https://doi.org/10.1007/1-4020-4203-5_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3457-2
Online ISBN: 978-1-4020-4203-4
eBook Packages: EngineeringEngineering (R0)