Abstract
In this work, a mixed beam approach that combines both the stiffness and the flexibility methods has been performed to analyze the coupled composite blades with closed, two-cell cross-sections. The Reissner’s semi-complementary energy functional is used to derive the beam force-displacement relations. Only the membrane part of the shell wall is taken into account to make the analysis simple and also to deliver a clear picture of the mixed method. All the crosssection stiffness coefficients as well as the distribution of shear across the section are evaluated in a closed-form through the beam formulation. The theory is validated against experimental test data, detailed finite element analysis results, and other analytical results for coupled composite blades with a two-cell airfoil section. Despite the simple kinematic model adopted in the theory, an accuracy comparable to that of two-dimensional finite element analysis has been obtained for cases considered in this study.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Badir, A.M, 1995, “Analysis of Two-Cell Composite Beams,”Proceedings of the 36th Structures, Structural Dynamics, and Materials Conference, New Orleans, LA, Apr. 10–12, pp. 419-424.
Chandra, R. and Chopra, I., 1991, “Coupled Composite Rotor Blades under Bending and Torsional Loads,”AHS Specialist Meeting on Rotorcraft Structures, Williamsburg, VA, Oct. 28–31.
Chandra, R. and Chopra, I., 1992, “Structural Behavior of Two-Cell Composite Rotor Blades with Elastic Couplings,”AIAA Journal, Vol. 30, No. 12, pp. 2914–2921.
Gjelsvik, A., 1981,The Theory of Thin Walled Bars, John Wiley & Sons, Inc..
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. 3, pp. 188–205.
Jung, S. N., Nagaraj, V. T. and Chopra, I., 2002, “Refined Structural Model for Thin- and Thick-Walled Composite Rotor Blades,”AIAA Journal, Vol. 40, No. 1, pp. 105–116.
Jung, S. N. and Park, I. J., 2005, “Structural Behavior of Thin- and Thick-Walled Composite Blades with Multicell Sections,”AIAA Journal, Vol.43, No. 3, pp. 572–581.
Jones, R. M., 1975,Mechanics of Composite Materials, McGraw-Hill Book Co., N.Y..
Libove, C., 1988, “Stress and Rate of Twist in Single-Cell Thin-Walled Beams with Anisotropic Walls,”AIAA Journal, Vol. 26, No. 9, pp. 1107–1118.
Mansfield, E. H., 1981, “The Stiffness of a Two-Cell Anisotropic Tube,”Aeronautical Quarterly, pp. 338-353.
Murakami, H., Reissner, E., and Yamakawa, J., 1996, “Anisotropic Beam Theories with Shear Deformation,”Journal of Applied Mechanics, Vol. 63, No. 3, pp. 660–668.
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. and Librescu, L., 1997, “Structural Modeling and Free Vibration Analysis of Rotating Composite Thin-Walled Beams,”Journal of the American Helicopter Society, Vol. 42, No. 4, pp. 358–369.
Shim, J. K. and Na, S., 2003, “Modeling and Vibration Feedback Control of Rotating Tapered Composite Thin-Walled Blade,”KSME Int. Journal, Vol. 17, No. 3, pp. 380–390.
Volovoi, V. V. and Hodges, D. H., 2002, “Single- and Multicelled Composite Thin-Walled Beams,”AIAA Journal, Vol. 40, No. 5, pp. 960–965.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sung, N.J., Il-Ju, P. A simple mixed-based approach for thin-walled composite blades with two-cell sections. J Mech Sci Technol 19, 2016–2024 (2005). https://doi.org/10.1007/BF02916494
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02916494