Bending analysis of moderately thick laminated conical panels with various boundary conditions

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Volumn 225, Issue 6, 2011, Pages 1291-1300

  Maleki, S ^a   Andakhshideh, A ^a   Aghdam, M M ^b  

^a FERDOWSI UNIVERSITY OF MASHHAD   (Iran)

^b AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Asymmetric lay up; Bending analysis; Conical panels; Generalized differential quadrature

Indexed keywords

ANALYTICAL AND NUMERICAL METHODS; ASYMMETRIC LAY UP; BENDING ANALYSIS; CONICAL PANELS; FINITE-ELEMENT CODES; FIRST-ORDER PDES; FREE BOUNDARY CONDITIONS; GENERALIZED DIFFERENTIAL QUADRATURE; GENERALIZED DIFFERENTIAL QUADRATURE METHODS; GEOMETRICAL PARAMETERS; GOVERNING EQUATIONS; INITIAL CURVATURE; MODERATELY THICK; NUMBER OF GRIDS; SECTOR PLATES; SIMPLY SUPPORTED; SOLUTION TECHNIQUES;

FORECASTING; LAMINATING; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; SHEAR FLOW;

BOUNDARY CONDITIONS;

EID: 79960366596     PISSN: 09544062     EISSN: 20412983     Source Type: Journal    
DOI: 10.1177/0954406211398318     Document Type: Conference Paper

References (22)

1. Varadan, T. K. and Bhaskar, K. Bending of laminated orthotropic cylindrical shells - an elasticity approach. Comput. Struct., 1991, 17, 141-156.
2. Qatu, M. S. and Algothani, A. Bending analysis of laminated plates and shells by different methods. Comput. Struct., 1994, 52, 529-539.
3. Reddy, J. N. Mechanics of laminated composite plates and shells theory and analysis, 2004 (CRC Press, New York).
4. Andakhshideh, A., Maleki, S., and Aghdam, M. M. Non linear bending analysis of laminated sector plates using generalized differential quadrature. Comput. Struct., 2009, 92, 2258-2264.
5. Aghdam, M. M., Farahani, M. R. N., Dashty, M., and Rezaei Niya, S. M. Application of GDQ method to the bendingofthick laminated plates with various boundary conditions. Appl. Mech. Mater., 2006, 5-6, 407-414. (Pubitemid 44491441)
6. Wu, C. P., Pu, Y. F., and Tsai, Y. H. Asymptotic solutions of axisymmetric laminated conical shells. Thin Wall Struct., 2005, 43, 1589-1614.
7. Wu, C. P. and Hung, Y. C. Asymptotic theory of laminated circular conical shells. Int J. Engng Sci., 1999, 37, 977-1005.
8. Lam, K. Y., Li, H., Ng, T. Y., and Chua, F. Generalized differential quadrature method for the free vibration of truncated conical panels. J. Sound Vibr., 2002, 251(2), 329-348. (Pubitemid 35275004)
9. Pinto Correia, I. F., Mota Soares, C. M., Mota Soares, C. A., and Herskovits, J. Analysis of laminated conical shell structures using higher order models. Comput. Struct., 2003, 62, 383-390. (Pubitemid 37453662)
10. Bhaskar, K. and Varadan, T. K. A higher order theory for bending analysis of laminated shells of revolution. Comput. Struct., 1991, 40(N4), 815-819. (Pubitemid 21707515)
11. Bellman, R., Kashef, B. G., and Casti, J. Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations. J. Comput. Phys., 1972, 10, 40-52.
12. Bellman, R. E. and Casti, J. Differential quadrature and long term integration. J. Math. Anal. Appl., 1971, 34, 235-238.
13. Shu, C. and Richards, B. E. High resolution of natural convection in a square cavity by generalized differential quadrature. In Proceedings of the 3rd International Conference on Advances in numeric methods in engneering, Swansea, 1990, pp. 978-985.
14. Kraus, H. Thin elastic shells, 1967 (John Wiley & sons, NewYork).
15. Toorani, M. H. and Lakis, A. A. Generalized equations of anisotropic plates and panels including transverse shear deformations, rotary inertia and initial curvature effects. J. Sound Vibr., 2000, 237, 561-615. (Pubitemid 32017902)
16. Shu, C. and Richards, B. E. Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations. Int. J. Numer. Methods Fluids., 1992, 15, 791-798. (Pubitemid 23557497)
17. Bellman, R. E. Methods of nonlinear analysis, 1973 (Academic Press, New York).
18. Civan, F. and Sliepcevich, C. M. Differential quadrature for multi-dimensional problems. J. Math. Anal. Appl., 1984, 101, 423-443.
19. Civan, F. and Sliepcevich, C. M. Solving integrodifferential equations by the quadrature method, 1986, Integral Meth. Sci. Eng., pp. 106-113 (Hemisphere Publishing Co., New York).
20. Quan, J. R. and Chang, C. T. Newinsights in solving distributed system equations by the quadrature methods analysis. Comput. Chemical Eng., 1989, 13, 779-788. (Pubitemid 20620969)
21. Shu, C. and Chew, Y. T. On the equivalence of generalized differential quadrature and highest order finite difference scheme. Comput. Method. Appl. Mech. Eng., 1998, 15, 249-260. (Pubitemid 128402173)
22. Salehi, M. and Sobhani, A. R. Elastic linear and nonlinear analysis of fiber-reinforced symmetrically laminated sector Mindlin plate. Comput. Struct., 2004, 65, 65-79. (Pubitemid 38617191)