Effect of random system properties on initial buckling of composite plates resting on elastic foundation

International Journal of Structural Stability and Dynamics

Volumn 8, Issue 1, 2008, Pages 103-130

  Lal, Achchhe ^a   Singh, B N ^b   Kumar, Rakesh ^a  

^a MOTILAL NEHRU NATIONAL INSTITUTE OF TECHNOLOGY   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Buckling; C0 finite element method; Composite plate; Random system properties; Second order statistics

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; PARAMETER ESTIMATION; STIFFNESS;

COMPOSITE PLATES; RANDOM SYSTEM PROPERTIES; SECOND ORDER STATISTICS;

PLATES (STRUCTURAL COMPONENTS);

EID: 43949133363     PISSN: 02194554     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219455408002570     Document Type: Article

References (26)

1. J. S. Moita, C. M. S. Mota, and C. A. M. Soares, Buckling behaviour of laminated composite structures using a discrete higher-order displacement model, Compos. Struct. 35 (1996) 75-92.
2. H. S. Shen, J. J. Zheng and X. L. Huang, Dynamic response of shear deformable plates under thermo mechanical loading and resting on elastic foundations, Compos. Struct. 60 (2003) 57-66.
3. M. A. Aiello and L. Ombres, Buckling and vibration of unsymmetric laminates resting on elastic foundations under in-plane and shear forces, Compos. Struct. 44 (1999) 31-41.
4. J. Yang, K. M. Liew and S. Kitipornachai, Second-order statistics of the elastic buckling of functionally graded rectangular plates. Compos. Sci. Techol. 65(7-8) (2005) 1165-1175.
5. B. P. Patel, M. Ganapathi, K. R. Prasad and D. P. Makhecha, Dynamic instability of layered anisotropic composite plates on elastic foundations, Eng. Struct. 35 (1999) 345-355.
6. N. C. Nigam and S. Narayanan, Applications of Random Vibrations (Narosa, New Delhi, 1994).
7. R. A. Ibrahim, Structural dynamics with parameter uncertainties, Appl. Mech. Rev. 40(3) (1987) 309-328.
8. C. S. Manohar and R. A. Ibrahim. Progress in structural dynamics with stochastic parameter variations, Appl. Mech. Rev. 52 (1999) 177-196.
9. S. Chen, Z. S. Hu and Z. F. Zhang, Random vibration analysis for large-scale structures, Comput. Struct. 43 (1992) 681-705.
10. M. Shinozuka and C. J. Astill, Random eigenvalue problems in structural analysis, AIAA J. 10 (1972) 456-462.
11. G. D. Jeong, Critical buckling load statistics of uncertain column, Proc. 6th ASCE Special Conf. Probabilistic Mechanics and Structure and Geotech. Reliability, USA (July 1992), pp. 563-566.
12. J. Zhang and B. Ellingwood, Effects of uncertain material properties on structural stability, ASCE J. Struct. Eng. 121 (1993) 705-716.
13. A. W. Leissa and A. F. Martin, Vibration and buckling of rectangular composite plates with variable fiber spacing, Compos. Struct. 14 (1990) 339-357.
14. S. Salim, D. Yadav and N. G. R. Iyengar, Deflection of composite plates with random material characteristics, Proc. Symp. Recent Adv. Aerospace Sci. Eng. Conf. 1, Bangalore, New Delhi (1992), pp. 236-239.
15. B. Naveenthraj, N. G. R. Iyengar and D. Yadav, Response of composite plates with random material properties using FEM and MCS, Adv. Comput. Mater. 7 (1998) 219-237.
16. D. Yadav and N. Verma, Free vibration of composite circular cylindrical shells with random material properties: Part 2, Applications, J. Comput. Struct. 51 (2001) 371-380.
17. 0 finite element investigation for buckling of shear deformable laminated composite plates with random material properties, Struct. Eng. Mech. Int. J. 13(1) (2002) 53-74.
18. B. N. Singh, N. G. R. Iyengar and D. Yadav, Effect of random material properties on buckling of composite plates, ASCE J. Eng. Mech. 127(11) (2001) 873-879.
19. A. K. Onkar and D. Yadav, Non-linear response statistics of composite laminates with random material properties under random loading, Compos. Struct. 60 (2003) 375-383.
20. J. N. Reddy, A simple higher order theory for laminated composite plates. J. Appl. Mech. Trans. ASME 51 (1984) 745-752.
21. 0 element for the free vibration analysis of laminated composite plates, J. Sound. Vib. 191(5) (1996) 721-738.
22. R. M. Jones, Mechanics of Composite Materials (McGraw-Hill, New York. 1975).
23. A. Kareem and W. J. Sun, Dynamic response of structures with uncertain damping, Eng. Struct. 12 (1990) 1-8.
24. M. Kleiber and T. D. Hien, The Stochastic Finite Element Method (John Wiley & Sons, New York, NY, 1992).
25. E. H. Vanmarcke and M. Grigoriu, Stochastic finite element analysis of simple beam, ASCE J. Eng. Mech. 109 (1983) 1203-1214.
26. S. C. Lin and T. Y. Kam, Probability failure analysis of transversely loaded composite plates using higher-order second moment method, ASCE J. Eng. Mech. 126(8) (2000) 812-820.