참고문헌
- Cha, P.D., and Gu, W. (1999), "Comparing the perturbed eigensolutions of a generalized and a standard eigen value problem", J. Sound & Vibration, 227(5), 1122-32. https://doi.org/10.1006/jsvi.1999.2375
- Englested, S.P., and Reddy, J.N. (1994), "Probabilistic methods for the analysis of metal matrix composite", Composite Science &Technology, 50, 91-107. https://doi.org/10.1016/0266-3538(94)90129-5
- Franklin, J.N. (1968), Matrix Theory, Prentice-Hall, Englewood Cliff, N. J.
- Ghosh, A.K., and Dey, S.S. (1994), "Buckling of laminated plates-a simple finite element element based on higher order theory", Finite Element Analysis and Design, 15, 289-302. https://doi.org/10.1016/0168-874X(94)90023-X
- Hinton, E., and Owen, D.R.J. (1984), Finite Element Software for Plates and Shells, Prneridge Press, Swansea.
- Ibrahim, R.A. (1987), "Structural dynamics with parameter uncertainties", Appl. Mech. Rev., 40, 309-28. https://doi.org/10.1115/1.3149532
- Kareem, A., and Sun, W.J. (1990), "Dynamic response of structures with uncertain damping", Eng. Struct., 12, 1-8.
- Kleiber, M., and Hien, T.D. (1992),The Stochastic Finite Element Method, John Wiley & Sons.
- Leissa, A.W, and Martin, A.F. (1990), "Vibration and buckling of rectangular of composite plates with variable fiber spacing", Comp. Struct., 14,339-57. https://doi.org/10.1016/0263-8223(90)90014-6
- Lin, S.C., and Kam, T.Y (2000), "Probability failure analysis of transversely loaded composite plates using higher-order second moment method", J. Eng. Mech., ASCE, 126(8), 812-20. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:8(812)
- Lin, WK., Belystschko, T., and Main, A. (1986), "Random field finite elements", Int. J. Numer. Meth. in Eng., 23, 1831-45. https://doi.org/10.1002/nme.1620231004
- Manohar, C.S., and Ibrahim, R.A. (1999), "Progress in structural dynamics with stochastic parameter variations: 1987-1998", Applied Mechanics Review, 52, 177-96. https://doi.org/10.1115/1.3098933
- Mindlin, R.D. (1951), "Influence of rotary inertia and shear deformation on flexure motions of isotropic elastic plates", J. Appl. Mech., Transac., ASME, 18, 31-38.
- Moita, J.S., Mota Soares, C.M., and Mota Soares, C.A. (1996), "Buckling behavior of laminated composite structures using a descrete higher-order displacement model", Compos. Struct., 35, 75-92. https://doi.org/10.1016/0263-8223(96)00025-6
- Nakagiri, S., Tatabatake, H., and Tani, S. (1990), "Uncertain eigen value analysis of composite laminated plates by sfem", Compo. Struct., 14,9-12.
- Nigam, N. C. (1983), Introduction to Random Vibrations, MIT Press, Cambridge, MA.
- Noor, A.K. (1975), "Stability of multi-layered composite plates", Fibre Science & Technology, 8(2), 81-89. https://doi.org/10.1016/0015-0568(75)90005-6
- Putcha, N.S., and Reddy, J.N. (1986), "Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory", J. Sound & Vibration, 104(8), 285-300. https://doi.org/10.1016/0022-460X(86)90269-5
- Reddy, J.N. (1984), "A simple higher order shear theory for laminated composite plates", J. Appl. Mech., Transac. of the ASME, 51, 745-752. https://doi.org/10.1115/1.3167719
- Reddy, J.N., and Khdeir, A.A. (1989), "Buckling and vibration of laminated composite plates using various plate theories", AIAA J., 27(12),1808-17. https://doi.org/10.2514/3.10338
- Reissner, E. (1945), "The effects of transverse shear deformation on the bending of elastic plates", J. Appl. Mech., Trans, ASME, 12,69-77.
- Salim, S., Iyengar, N.G.R., and Yadav, D. (1998), "Buckling of laminated plates with random material characteristics", Appl. Compos. Mat., 5, 1-9. https://doi.org/10.1023/A:1008878912150
-
Shankara, C.A., and Iyengar, N.G.R. (1996), "A
$C^0$ element for the free vibration analysis of laminated composite plate", J. Sound & Vibration, 191(5), 721-38. https://doi.org/10.1006/jsvi.1996.0152 - Singh, B.N., Yadav, D., and Iyengar, N.G.R. (2001), "Initial buckling of composite cylindrical panels with random material properties", Compos. Struct., 53(1), 55-64. https://doi.org/10.1016/S0263-8223(00)00178-1
- Vanmarcke, E.H., and Grigoriu, M. (1983), "Stochastic finite element analysis of simple beam", J. Eng. Mech., ASCE,109, 1203-14. https://doi.org/10.1061/(ASCE)0733-9399(1983)109:5(1203)
- Vinckenroy, G.V., and Wilde, W.P. de. (1995), "The use of Monte Carlo techniques in sfem for determination of the structural behavior of composites", Compos. Struct., 32, 247-53. https://doi.org/10.1016/0263-8223(95)00055-0
- Yadav, D., and Verma, N. (1997), "Buckling of composite circular cylindrical shells with random material properties", Compos. Struct., 37, 385-91. https://doi.org/10.1016/S0263-8223(97)00032-9
피인용 문헌
- Natural frequency of laminated composite plate resting on an elastic foundation with uncertain system properties vol.27, pp.2, 2007, https://doi.org/10.12989/sem.2007.27.2.199
- Post buckling response of laminated composite plate on elastic foundation with random system properties vol.14, pp.1, 2009, https://doi.org/10.1016/j.cnsns.2007.08.005
- Effects of random system properties on the thermal buckling analysis of laminated composite plates vol.87, pp.17-18, 2009, https://doi.org/10.1016/j.compstruc.2009.06.004
- Buckling and Post-Buckling Response of Laminated Composite Plate with Random System Properties vol.21, pp.6, 2014, https://doi.org/10.1080/15376494.2012.699597
- Recent development in modeling and analysis of functionally graded materials and structures vol.79, 2015, https://doi.org/10.1016/j.paerosci.2015.07.001
- Post buckling response of functionally graded materials plate subjected to mechanical and thermal loadings with random material properties vol.37, pp.5, 2013, https://doi.org/10.1016/j.apm.2012.06.013
- EFFECT OF RANDOM SYSTEM PROPERTIES ON INITIAL BUCKLING OF COMPOSITE PLATES RESTING ON ELASTIC FOUNDATION vol.08, pp.01, 2008, https://doi.org/10.1142/S0219455408002570
- Stochastic analysis of laminated composite plates on elastic foundation: The cases of post-buckling behavior and nonlinear free vibration vol.87, pp.10, 2010, https://doi.org/10.1016/j.ijpvp.2010.07.013
- Hygrothermally induced buckling analysis of elastically supported laminated composite plates with random system properties vol.46, pp.21, 2012, https://doi.org/10.1177/0021998311431993
- FEM model for stochastic mechanical and thermal postbuckling response of functionally graded material plates applied to panels with circular and square holes having material randomness vol.62, pp.1, 2012, https://doi.org/10.1016/j.ijmecsci.2012.05.010
- Stochastic thermal buckling analysis of laminated plates using perturbation technique vol.139, 2016, https://doi.org/10.1016/j.compstruct.2015.11.076
- Hygrothermoelastic Buckling Response of Laminated Composite Plates with Random System Properties: Macromechanical and Micromechanical Model vol.28, pp.5, 2015, https://doi.org/10.1061/(ASCE)AS.1943-5525.0000241
- A C° element for free vibration of composite plates with uncertain material properties vol.11, pp.4, 2002, https://doi.org/10.1163/156855102321669163
- EFFECT OF UNCERTAIN SYSTEM PROPERTIES ON THERMO-ELASTIC STABILITY OF LAMINATED COMPOSITE PLATES UNDER NONUNIFORM TEMPERATURE DISTRIBUTION vol.02, pp.02, 2010, https://doi.org/10.1142/S175882511000055X
- Effect of random system properties on bending response of thermo-mechanically loaded laminated composite plates vol.35, pp.12, 2011, https://doi.org/10.1016/j.apm.2011.05.014
- Second-order statistics of the elastic buckling of functionally graded rectangular plates vol.65, pp.7-8, 2005, https://doi.org/10.1016/j.compscitech.2004.11.012
- Free vibration of laminated composite conical shells with random material properties vol.81, pp.1, 2007, https://doi.org/10.1016/j.compstruct.2006.08.002
- Second-order statistics of natural frequencies of smart laminated composite plates with random material properties vol.4, pp.1, 2002, https://doi.org/10.12989/sss.2008.4.1.019
- Thermomechanical Elastic Post-Buckling of Functionally Graded Materials Plate with Random System Properties vol.14, pp.3, 2002, https://doi.org/10.1080/15502287.2012.711423