Dynamic Stability of Laminated Composite Curved Panels with Cutouts
Publication: Journal of Engineering Mechanics
Volume 129, Issue 11
Abstract
The present investigation deals with the dynamic stability behavior of laminated composite curved panels with cutouts subjected to in-plane static and periodic compressive loads, analyzed using the finite element method. A generalized shear deformable Sanders’ theory with tracers is used in this study. Numerical results obtained for vibration and buckling of composite panels with cutouts compare well with literature. The principal dynamic instability region of composite perforated panels is obtained using Bolotin’s approach. The study reveals that curved panels with cutouts depict higher stiffness with the addition of curvatures. The laminated hyperbolic paraboloid panel shows the highest stiffness with the onset of instability at higher excitation frequencies. The effect of curvature in laminated composite curved panels is reduced with an increase in size of the cutout. The principal instability regions are influenced by the lamination parameters. Thus, the laminate construction, coupled with cutout geometry, can be used to the advantages of tailoring during design of composite structures for practical applications.
Get full access to this article
View all available purchase options and get full access to this article.
References
Argento, A., and Scott, R. A.(1993). “Dynamic instability of layered anisotropic circular cylindrical shells. II: Numerical results.” J. Sound Vib., 162, 323–332.
Bailey, R., and Wood, J.(1996). “Stability characteristics of composite panels with various cutout geometries.” Compos. Struct., 35, 21–31.
Bolotin, V. V. (1964). The dynamic stability of elastic systems, Holden-Day, San Francisco.
Cederbaum, G.(1992). “Analysis of parametrically excited laminated shells.” Int. J. Mech. Sci., 34(3), 241–250.
Chakravorty, D., Sinha, P. K., and Bandyopadhyay, J. N.(1998). “Applications of FEM on free and forced vibration of laminated shells.” J. Eng. Mech., 124(1), 1–8.
Chandrashekhara, K.(1989). “Free vibrations of anisotropic laminated doubly curved shells.” Comput. Struct., 33, 435–440.
Chen, C. C., Kitipornchai, S., Lim, C. W., and Liew, K. M.(2000). “Free vibration of symmetrically laminated thick perforated plates.” J. Sound Vib., 230(1), 111–132.
Evan-iwanowski, R. M.(1965). “On the parametric response of structures.” Appl. Mech. Rev., 18, 699–702.
Ganapathi, M., Patel, B. P., and Sambandam, C. T.(1999). “Parametric dynamic instability analysis of laminated composite conical shells.” J. Reinf. Plast. Compos., 18(14), 1336–1346.
Ganapathi, M., Varadan, T. K., and Balamurugan, V.(1994). “Dynamic stability of laminated composite curved panels using finite element method.” Comput. Struct., 53(2), 335–342.
Ibrahim, R. A.(1978). “Parametric vibration. III: Current problems (1).” Shock Vib. Dig., 10, 41–57.
Jenq, S. T., Hwang, G. C., and Yang, S. M.(1993). “The effect of square cutouts on the natural frequencies and mode shapes of GRP cross-ply laminates.” Compos. Sci. Technol., 47, 91–101.
Ko, W. L.(1998). “Anomalous buckling characteristics of laminated metal-matrix composite plates with central square holes.” NASA Technical Paper,206559, 1–10.
Lee, H. P., and Lim, S. P.(1992). “Free vibration of isotropic and orthotropic square plates with square cut outs subjected to in-plane forces.” Comput. Struct., 43(3), 431–437.
Lee, H. P., Lim, S. P., and Chow, S. T.(1987). “Free vibration of composite rectangular plates with rectangular cutouts.” Comput. Struct., 8, 63–81.
Lee, H. P., Lim, S. P., and Chow, S. T.(1992). “Effect of transverse shear deformation and rotary inertia on the natural frequencies of rectangular plates with cutouts.” Int. J. Solids Struct., 29(11), 1351–1359.
Leissa, A. W., and Qatu, M. S.(1991). “Equations of elastic deformation of laminated composite shallow shells.” J. Appl. Mech., 58, 181–188.
Lin, C. C., and Kuo, C. S.(1989). “Buckling of laminated plates with holes.” J. Compos. Mater., 23, 536–553.
Moorthy, J., Reddy, J. N., and Plaut, R. H.(1990). “Parametric instability of laminated composite plates with transverse shear deformation.” Int. J. Solids Struct., 26, 801–811.
Nemeth, M. P.(1988). “Buckling behavior of compression loaded symmetrically laminated angle-ply plates with holes.” AIAA J., 26, 330–336.
Nemeth, M. P.(1996). “Buckling and post-buckling behavior of laminated composite plates with a cutout.” NASA Technical Paper,3587, 1–23.
Ng, T. Y., Lam, K. Y., and Reddy, J. N.(1998). “Dynamic stability of cross-ply laminated composite cylindrical shells.” Int. J. Mech. Sci., 40(8), 805–823.
Rajamani, A., and Prabhakaran, R.(1977a). “Dynamic response of composite plates with cut-outs, part I: simply supported plates.” J. Sound Vib., 54(4), 549–564.
Rajamani, A., and Prabhakaran, R.(1977b). “Dynamic response of composite plates with cut-outs, part II: clamped clamped plates.” J. Sound Vib., 54(4), 565–576.
Reddy, J. N.(1982). “Large amplitude flexural vibration of layered composite plates with cutouts.” J. Sound Vib., 1, 1–10.
Sahu, S. K., and Datta, P. K.(2001a). “Parametric resonance characteristics of laminated composite doubly curved shells subjected to non-uniform loading.” J. Reinf. Plast. Compos., 20(18), 1556–1576.
Sahu, S. K., and Datta, P. K.(2001b). “Parametric instability of doubly curved panels subjected to non-uniform harmonic loading.” J. Sound Vib., 240(1), 117–129.
Sahu, S. K., and Datta, P. K.(2002). “Dynamic stability of curved panels with cutouts.” J. Sound Vib., 254(4), 683–696.
Simitses, G. J.(1987). “Instability of dynamically loaded structures.” Appl. Mech. Rev., 40, 1403–1408.
Sivakumar, K., Iyengar, N. G. R., and Deb, K.(1999). “Free vibration of laminated composite plates with cutout.” J. Sound Vib., 221, 443–470.
Srivatsa, K. S., and Murty, A. V. K.(1992). “Stability of laminated composite plates with cutouts.” Comput. Struct., 43, 273–279.
Vellaichamy, S., Prakash, B. G., and Brun, S.(1990). “Optimum design of cutouts in laminated composite structures.” Comput. Struct., 37(3), 241–246.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 129 • Issue 11 • November 2003
Pages: 1245 - 1253
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Mar 12, 2002
Accepted: Apr 23, 2003
Published online: Oct 15, 2003
Published in print: Nov 2003
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.