Beam-Column and Tie-Bar Effects in Internally Pressurized Thin Arbitrarily Laminated Cantilever Cylindrical Shells
Publication: Journal of Engineering Mechanics
Volume 141, Issue 3
Abstract
An arbitrarily laminated, anisotropic cantilever cylindrical shell of finite length, under uniform internal pressure, is analyzed using kinematic relations under the framework of classical lamination theory. Extensive numerical results are presented for two model problems, pertaining to two-layer, asymmetrically laminated, anisotropic cantilever cylindrical shells, illustrating the influence of layer anisotropy and lamination sequence on the beam-column/tie-bar effects, which, in turn, severely affect the free-end displacements and other response quantities of interest. Furthermore, because the beam-column effect can cause severe wrinkling in a thin asymmetrically laminated cylindrical shell, the possibility of its elimination through composite tailoring (a combination of stacking sequence and fiber orientation angle in a constituent lamina) has also been explored. Finally, the effect of length-to-radius ratio is also numerically investigated.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research was performed during the first author’s summer research contract at the Centre for Marine Technology and Engineering, Instituto Superior Tecnico, University of Lisbon, Lisbon, Portugal, which was financed by the Centre for Marine Technology and Engineering from the annual funding received from the Fundação para a Ciência e Tecnologia, Portugal. The second author was also funded by the Fundação para a Ciência e Tecnologia, Portugal, under contract No. SFRH/BPD/47687/2008.
References
Abu-Arija, K. R., and Chaudhuri, R. A. (1989a). “Influence of transverse shear deformation on scaling of cross-ply cylindrical shells.” J. Compos. Mater, 23(7), 673–694.
Abu-Arija, K. R., and Chaudhuri, R. A. (1989b). “Moderately thick angle-ply cylindrical shells under internal pressure.” J. Appl. Mech., 56(3), 652–657.
Ambartsumyan, S. A. (1964). “Theory of anisotropic shells.” NASA-TT-F-118, National Aeronautics and Space Administration, Washington, DC.
Balaraman, K., Kunukkasseril, V. X., and Chaudhuri, R. A. (1972). “Bending of asymmetrically laminated anisotropic shells subjected to internal pressure.” Proc., 1st Conf. on Reinforced Plastics and Their Aerospace Applications, Vikram Sarabhai Space Centre, Indian Space Research Organization, Trivandrum, India.
Bert, C. W., and Reddy, V. S. (1982). “Cylindrical shells of bimodulus composite materials.” J. Engrg. Mech. Div., 108(5), 657–688.
Chaudhuri, R. A. (1986). “An equilibrium method for prediction of transverse shear stresses in a thick laminated plate.” Comput. Struct., 23(2), 139–146.
Chaudhuri, R. A. (1990). “On the prediction of interlaminar shear stresses in a thick laminated general shell.” Int. J. Solids Struct., 26(5–6), 499–510.
Chaudhuri, R. A. (2002). “On the roles of complementary and admissible boundary constraints in Fourier solutions to the boundary value problems of completely coupled order PDEs.” J. Sound Vib., 251(2), 261–313.
Chaudhuri, R. A. (2008). “A nonlinear zigzag theory for finite element analysis of highly shear-deformable laminated anisotropic shells.” Compos. Struct., 85(4), 350–359.
Chaudhuri, R. A. (2009). “A new three-dimensional shell theory in general (non-lines-of-curvature) coordinates for analysis of curved panels weakened by through/part-through holes.” Compos. Struct., 89(2), 321–332.
Chaudhuri, R. A., and Abu-Arija, K. R. (1988). “Exact solution of shear-flexible doubly curved anti-symmetric angle-ply shells.” Int. J. Eng. Sci., 26(6), 587–604.
Chaudhuri, R. A., and Abu-Arija, K. R. (1989). “Closed-form solutions for arbitrary laminated anisotropic cylindrical shells (tubes) including shear deformation.” AIAA J., 27(11), 1597–1605.
Chaudhuri, R. A., Balaraman, K., and Kunukkasseril, V. X. (1986). “Arbitrarily laminated anisotropic cylindrical shell under internal pressure.” AIAA J., 24(11), 1851–1858.
Chaudhuri, R. A., Balaraman, K., and Kunukkasseril, V. X. (2008). “Admissible boundary conditions and solutions to internally pressurized thin arbitrarily laminated cylindrical shell boundary-value problems.” Compos. Struct., 86(4), 385–400.
Chaudhuri, R. A., and Kabir, H. R. H. (1992). “A boundary-continuous-displacement based Fourier analysis of laminated doubly-curved panels using classical shallow shell theories.” Int. J. Eng. Sci., 30(11), 1647–1664.
Chaudhuri, R. A., and Kabir, H. R. H. (1993). “Boundary-discontinuous Fourier analysis of doubly-curved panels using classical shallow shell theories.” Int. J. Eng. Sci., 31(11), 1551–1564.
Chaudhuri, R. A., Oktem, A. S., and Guedes Soares, C. (2013). “Internally pressurized thin unsymmetric cross-ply cantilever cylindrical shells.” AIAA J., 51(10), 2523–2526.
Chaudhuri, R. A., and Seide, P. (1987a). “An approximate method for prediction of transverse shear stresses in a laminated shell.” Int. J. Solids Struct., 23(8), 1145–1161.
Chaudhuri, R. A., and Seide, P. (1987b). “An approximate semi-analytical method for prediction of interlaminar shear stresses in an arbitrarily laminated thick plate.” Comput. Struct., 25(4), 627–636.
Donnell, L. H. (1933). “Stability of thin-walled tubes under torsion.” NACA Rep. 479, National Advisory Committee on Aeronautics, Washington, DC.
Judge, J. F. (1969). “Composite material: The coming revolution.” Airline Mgmt. Mktg., 1(1), 85–91.
Kabir, H. R. H., and Chaudhuri, R. A. (1993). “A direct Fourier approach for the analysis of thin finite-dimensional cylindrical panels.” Comput. Struct., 46(2), 279–287.
Kapania, R. K. (1989). “A review on the analysis of laminated shells.” J. Pressure Vessel Technol., 111(2), 88–96.
Librescu, L., Khdeir, A. A., and Frederick, D. (1989). “A shear deformable theory of laminated composite shallow shell-type panels and their response analysis I: Free vibration and buckling.” Acta Mech., 76(1–2), 1–33.
Love, A. E. H. (1944). A treatise on the mathematical theory of elasticity, 4th Ed., Dover Publications, Mineola, NY.
Paul, B. (1963). “Linear bending theory of laminated cylindrical shells under axisymmetric load.” J. Appl. Mech, 30(1), 98–102.
Qatu, M. S. (2002). “Recent research advances in the dynamic behavior of shells: 1989–2000, Part 1: Laminated composite shells.” Appl. Mech. Rev., 55(4), 325–350.
Qatu, M. S., Asadi, E., and Wang, W. (2012). “Review of recent literature on static analyses of composite shells: 2000–2010.” Open J. Compos. Mater., 2(3), 61–86.
Reddy, J. N. (2004). Mechanics of laminated composite plates and shells, CRC Press, Boca Raton, FL.
Reuter, R. C., Jr. (1972). “Analysis of shells under internal pressure.” J. Compos. Mater, 6(1), 94–113.
Sanders, J. L., Jr. (1959). “An improved first-approximation theory for thin shells.” NASA Tech. Rep. R-24, National Aeronautics and Space Administration, Washington, DC.
Seide, P. (1975). Small elastic deformations of thin shells, Noordhoff International, Leiden, Netherlands.
Seide, P., and Chaudhuri, R. A. (1987). “Triangular finite element for analysis of thick laminated shells.” Int. J. Numer. Methods Eng., 24(8), 1563–1579.
Timoshenko, S. P., and Woinowsky-Krieger, S. (1959). Theory of plates and shells, 2nd Ed., McGraw Hill, New York.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 141 • Issue 3 • March 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: May 20, 2013
Accepted: Jul 8, 2014
Published online: Aug 28, 2014
Published in print: Mar 1, 2015
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.