Vibration of laminate-faced sandwich plate by a new refined element

Journal of Aerospace Engineering

Volumn 17, Issue 3, 2004, Pages 123-134

  Chakrabarti, A ^a   Sheikh, A H ^b  

^a JALPAIGURI GOVERNMENT ENGINEERING COLLEGE   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Laminated materials; Sandwich panels; Shear stress; Sheets; Vibration

Indexed keywords

AEROSPACE ENGINEERING; FINITE ELEMENT METHOD; LAMINATES; SANDWICH STRUCTURES; SHEAR STRESS; STRAIN; THICKNESS MEASUREMENT; VIBRATIONS (MECHANICAL);

LAMINATED MATERIALS; SANDWICH PANELS; SHEAR STRAIN; SHEETS;

STRUCTURAL PANELS;

EID: 13944249600     PISSN: 08931321     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0893-1321(2004)17:3(123)     Document Type: Article

References (36)

1. Allen, H. G. (1969). Analysis and design of structural sandwich panels, Pergamon, Oxford.
2. Bhaskar, K., and Varadan, T. K. (1989). "Refinement of higher-order laminated plate theories." AIAA J., 27, 1830-1831.
3. Bogner, F. K., Fox, R. L., and Schmit, L. A. (1965). "The generation of interelement-compatibility stiffness and mass matrices by the use of interpolation formulae." Proc., Conf. on Matrix Methods in Structural Mechanics, Airforce Institute of Technology, Wright-Patterson Air Force Base, Ohio.
4. Chakrabarti, A., and Sheikh, A. H. (2002). "A new triangular element based on a layer-wise zigzag theory for the analysis of composite panels having sandwich construction." Proc., Int. Conf. on Ship and Ocean Technology, Indian Institute of Technology, Kharagpur, India.
5. Cho, M., and Parmerter, R. R. (1993). "Efficient higher-order plate theory for general lamination configurations." AIAA J., 31(7), 1299-1308.
6. Cho, M., and Parmerter, R. R. (1994). "Finite element for composite plate bending based on efficient higher order theory." AIAA J., 32(11), 2241-2245.
7. Corr, R. B., and Jennings, A. (1976). "A simultaneous iteration algorithm for symmetric eigenvalue problems." Int. J. Numer. Methods Eng., 10, 647-663.
8. Cowper, G. R., Kosko, E., Lindberg, G. M., and Olson, M. D. (1969). "Static and dynamic applications of a high-precision triangular plate bending element." AIAA J., 7(10), 1957-1965.
9. Di Sciuva, M. (1984). "A refined transverse shear deformation theory for multilayered anisotropic plates." Atti Accademia Scienze Torino, 118, 279-295.
10. Di Sciuva, M. (1986). "Bending, vibration, and buckling of simply supported thick multilayered orthotropic plates: An evaluation of a new displacement model." J. Sound Vib., 105(3), 425-442.
11. Di Sciuva, M. (1992). "Multilayered anisotropic plate models with continuous interlaminar stress." Comput. Struct., 22(3), 149-167.
12. Di Sciuva, M. (1993). "A general quadrilateral multilayered anisotropic plate element with continuous interlaminar stresses." Comput. Struct., 47(1), 91-105.
13. Di Sciuva, M., and Icardi, U. (1995). "Analysis of thick multilayered anisotropic plates by a higher-order plate element." AIAA J., 33(12), 2435-2437.
14. Frostig, Y., Baruch, M., Vilnay, O., and Sheinman, I. (1992). "Higher-order theory for sandwich beam behavior with transversely flexible core." J. Eng. Mech., 118(5), 1026-1043.
15. Ghosh, A. K., and Dey, S. S. (1990). "A simple element for the analysis of laminated plates." Comput. Struct., 44(3), 1585-596.
16. Ibrahim, I. M., Farah, A., and Rizk, M. N. F. (1981). "Dynamic analysis of unbalanced anisotropic sandwich plates." J. Eng. Mech., 107(2), 405-418.
17. Icardi, U. (1998). "Eight nodded zigzag element for deflection and stress analysis of plates with general lay-up." Composites, Part B, 29, 435-441.
18. Khatua, T. P., and Cheung, Y. K. (1973). "Bending and vibration of multilayered sandwich beams and plates." Int. J. Numer. Methods Eng., 6, 11-24.
19. Lee, C. Y., and Liu, D. (1991). "Interlaminar shear stress continuity theory for laminated composite plates." AIM J., 29, 2010-2012.
20. Li, X., and Lue, D. (1992). "An improved shear stress continuity theory for both thin and thick composite laminates." J. Appl. Mech., 59, 502-509.
21. Lue, D., and Li, X. (1996). "An overall view of laminate theories based on displacement hypothesis." J. Comp. Mater., 30, 1539-1560.
22. Matsunaga, H. (2000). "Vibration and stability of cross-ply laminated plates according to a global higher-order plate theory." Compos. Struct., 48, 231-244.
23. Matsunaga, H. (2001). "Vibration and stability of angle-ply laminated plates subjected to in-plane stresses." Int. J. Mech. Sci., 43, 1925-1944.
24. Noor, A. K. (1973). "Free vibrations of multilayered composite plates." AIAA J., 11(7), 1038-1039.
25. Pagano, N. J. (1970). "Exact solutions for rectangular bidirectional com-posites and sandwich plates." J. Comp. Mater., 4, 20-34.
26. Perel, V. Y., and Palazato, A. N. (2001). "Finite element formulation for cylindrical bending of a transversely compressible sandwich plate based on assumed transverse strains." Int. J. Solids Struct., 38(3031), 5373-5409.
27. Plantema, F. J. (1966). Sandwich construction, Wiley, New York.
28. Reddy, J. N. (1984). "A simple higher-order theory for laminated composites." J. Appl. Mech., 51, 745-752.
29. Robbins, D. H., and Reddy, J. N. (1993). "Modelling of thick composites using a layer-wise laminate theory." Int. J. Numer. Methods Eng., 36, 655-677.
30. Schwarts-Givli, H., and Frostig, Y. (2001). "Higher-order behavior of sandwich panels with a bilinear transversely flexible core." Compos. Struct., 53(1), 87-106.
31. Specht, B. (1988). "Modified shape functions for the three nodded plate bending element passing the patch test." Int. J. Numer. Methods Eng., 26, 705-715.
32. Srinivas, S. (1973). "A refined analysis of composite laminates." J. Sound Vib., 30, 495-507.
33. Srinivas, S., and Rao, A. K. (1970). "Bending, vibration, and buckling of simply supported thick orthotropic rectangular plates and laminates." Int. J. Solids Struct., 6, 1463-1481.
34. Toledano, A., and Murakami, H. (1987). "Composite plate theory for arbitrary laminate configurations." J. Appl. Mech., 54, 181-189.
35. Wang, C. M., Ang, K. K., and Yang, L. (2000). "Free vibration of skew sandwich plates with laminated facings." J. Sound Vib., 235(2), 317-340.
36. Yang, P. C., Norris, C. H., and Stavsky, Y. (1966). "Elastic wave propagation in heterogeneous plates." Int. J. Solids Struct., 2, 665-684.