Nonlinear static response of laminated composite plates by discrete singular convolution method
Source abstract
Abstract
Abstract In this paper, large deflection analysis of laminated composite plates is analysed. Nonlinear governing equation for bending based on first-order shear deformation theory (FSDT) in the von Karman sense is presented. These equations have been solved by the method of discrete singular convolution (DSC). Regularized Shannon’s delta (RSD) kernel and Lagrange delta sequence (LDS) kernel are selected as singular convolution to illustrate the present algorithm. The effects of plate aspect ratio, fiber orientation, boundary conditions, thickness-to-side ratio, and applied load on the nonlinear static response of the laminated plate are investigated.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Structural Load-Bearing Analysis · Vibration and Dynamic Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (49)
Show source-provided references
1. The effect of transverse shear deformation in the bending of laminated plates10.1177/002199836900300316 ↗
2. A consistent treatment of transverse shear deformation in laminated anisotropic plates10.2514/3.50194 ↗
3. A simple higher-order theory for laminated composite plates10.1115/1.3167719 ↗
4. Analysis of simply supported laminated anisotropic rectangular plate10.2514/3.5601 ↗
5. Geometrically nonlinear transient analysis of laminated composite plates10.2514/3.8122 ↗
6. A comparison of closed-form and finite element solutions of thick, laminated anisotropic rectangular plates10.1016/0029-5493(81)90001-7 ↗
7. Nonlinear bending of thick rectangular, laminated composite plates10.1016/0020-7462(81)90042-1 ↗
8. Recent advance in the nonlinear analysis of laminated composite plates and shells10.1177/058310248701900402 ↗
9. Nonlinear vibration of a rectangular plate arbitrarily laminated of anisotropic material10.1115/1.3423005 ↗
10. Reddy · 1997
11. Whitney · 1987
12. Qatu · 2004
13. Geometrically nonlinear behaviour of composite plates: a review10.1115/1.3151873 ↗
14. Non-linear transient analysis of moderately thick laminated composite plates10.1006/jsvi.2001.3752 ↗
15. Non-linear analysis of moderately thick laminated rectangular plates10.1061/(ASCE)0733-9399(2000)126:8(831) ↗
16. Nonlinear static and dynamics of antisymmetric composite laminated square plates supported on nonlinear elastic subgrade10.1016/j.cnsns.2004.11.003 ↗
17. Chebyshev series solution to nonlinear boundary value problems in rectangular domain10.1016/0045-7825(95)00801-7 ↗
18. Civalek Ö. Geometrically non-linear static and dynamic analysis of plates and shells resting on elastic foundation by the method of polynomial differential quadrature (PDQ), PhD. Thesis, Fırat University, (in Turkish), Elazığ, 2004.
19. Geometrically nonlinear dynamic analysis of doubly curved isotropic shells resting on elastic foundation by a combination of HDQ-FD methods10.1016/j.ijpvp.2004.12.003 ↗
20. Harmonic differential quadrature-finite differences coupled approaches for geometrically nonlinear static and dynamic analysis of rectangular plates on elastic foundation10.1016/j.jsv.2005.12.041 ↗
21. Nonlinear analysis of thin rectangular plates on Winkler–Pasternak elastic foundations by DSC-HDQ methods10.1016/j.apm.2005.11.023 ↗
22. Finite element transient dynamic analysis of isotropic and fibre reinforced composite plates using a higher-order theory10.1016/0263-8223(88)90051-7 ↗
23. Finite element transient analysis of composite and sandwich plates based on a refined theory and implicit time integration schemes10.1016/0045-7949(90)90279-B ↗
24. Finite element transient analysis of composite and sandwich plates based on a refined theory and mode superposition method10.1016/0263-8223(92)90071-J ↗
25. A refined mixed shear flexible finite element for the non-linear analysis of laminated plates10.1016/0045-7949(86)90002-7 ↗
26. Geometrically nonlinear analysis of laminated composite plates by two new displacement-based quadrilateral plate elements10.1016/j.compstruct.2005.01.001 ↗
27. Discrete singular convolution for the solution of the Fokker–Planck equations10.1063/1.478812 ↗
28. Wavelets generated by using discrete singular convolution kernels10.1088/0305-4470/33/47/317 ↗
29. Wavelets and distributed approximating functionals10.1016/S0010-4655(98)00051-4 ↗
30. DSC analysis of free-edged beams by an iteratively matched boundary method10.1016/j.jsv.2004.08.037 ↗
31. Comparison of the discrete singular convolution and three other numerical schemes for solving Fisher’s equation10.1137/S1064827501390972 ↗
32. A new algorithm for solving some mechanical problems10.1016/S0045-7825(00)00219-X ↗
33. Vibration analysis by discrete singular convolution10.1006/jsvi.2000.3507 ↗
34. Discrete singular convolution and its application to the analysis of plates with internal supports. Part 1: theory and algorithm10.1002/nme.526 ↗
35. A novel approach for the analysis of high-frequency vibrations10.1006/jsvi.2002.5055 ↗
36. Discrete singular convolution for the prediction of high frequency vibration of plates10.1016/S0020-7683(01)00183-4 ↗
37. Plate vibration under irregular internal supports10.1016/S0020-7683(01)00241-4 ↗
38. The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution10.1016/S0020-7403(01)00021-2 ↗
39. On the accuracy and stability of a variety of differential quadrature formulations for the vibration analysis of beams
40. A novel scheme for the discrete prediction of high-frequency vibration response: discrete singular convolution–mode superposition approach10.1016/j.jsv.2008.08.031 ↗
41. Free vibration analysis of symmetrically laminated thin composite plates by using discrete singular convolution (DSC) approach: algorithm and verification
42. Baltacıoğlu AK. Nonlinear static and dynamic analyses of laminated composite plates and shells resting on nonlinear elastic foundations by using the method of DSC, M.Sc. Thesis, Graduate School of Natural and Applied Sciences, Akdeniz University, (in Turkish), 2010.
43. A mixed finite element for the nonlinear bending analysis of laminated composite plates based on FSDT10.1080/15376490802045671 ↗
44. Large deflection of composite laminated plates under transverse and in-plane loads resting on elastic foundation10.1016/S0263-8223(99)00007-0 ↗
45. Nonlinear bending of shear deformable laminated plates under transverse and in-plane loads resting on elastic foundation10.1016/S0263-8223(00)00088-X ↗
46. Nonlinear analysis of composite laminated thin plates subjected to lateral pressure and thermal loading and resting on elastic foundations10.1016/S0263-8223(99)00053-7 ↗
47. Nonlinear bending of shear deformable laminated plates under lateral pressure and thermal loading and resting on elastic foundations10.1243/0309324001514053 ↗
48. Discrete singular convolution and its application to the analysis of plates with internal supports. Part 2: applications10.1002/nme.527 ↗
49. DSC analysis for buckling and vibration of rectangular plates with elastically restrained edges and linearly varying in-plane loading10.1142/S0219455409003119 ↗