Fourier analysis of thick cross-ply Levy type clamped doubly-curved panels

Öktem, Ahmet Sinan; Chaudhuri, Reaz A.

doi:10.1016/j.compstruct.2006.05.028

Cited by 36 publications

(17 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Kress et al (2005) proposed a finite element model, which diminished the number of free parameters for each layer, to determine interlaminar stress distributions in laminated singly curved structures. Oktem and Chaudhuri (2007) used a higher order shear deformation theory to obtain an analytical solution for the deformation of a finite-dimensional cross-ply doubly-curved panel. Interlaminar normal stress distributions in moderately thick singly curved laminates were obtained to predict the critical delamination loads observed in experiments (Roos et al, 2007a(Roos et al, , 2007b.…”

Section: Shell Analysismentioning

confidence: 99%

Three-dimensional stress analysis of orthotropic curved tubes-part 1: Single-layer solution

Sarvestani

Hoa

Hojjati

2016

European Journal of Mechanics - A/Solids

View full text Add to dashboard Cite

Section: Shell Analysismentioning

confidence: 99%

Three-dimensional stress analysis of orthotropic curved tubes-part 1: Single-layer solution

Sarvestani

Hoa

Hojjati

2016

European Journal of Mechanics - A/Solids

View full text Add to dashboard Cite

“…The equilibrium equations have been obtained using the principle of virtual work by Reddy and Liu [46], Qatu et al [12], and Oktem and Chaudhuri [35]. They are shown as follows:…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…(4-6) into the equilibrium equations [Eqs. (3)] supplies the following five highly coupled fourth-order governing partial differential equations [34]: In what follows, the SS2-type simply supported boundary condition (see Appendix A and table 5 of Oktem and Chaudhuri [35]) is prescribed at the edges x 1 0, a:…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…In addition, theories and computational models based on equivalent single-layer, quasi-layerwise, and layerwise models have been developed for more precise calculations for laminated composite plates and sandwich shell structures [28,29]. A detailed review of the literature and boundary-discontinuous-type double Fourier series solutions to the boundary-value problems of HSDT-based cross-ply laminated plates and shells are available in work by Chaudhuri and Kabir [30], Oktem and Chaudhuri [27,[31][32][33][34][35][36][37], Oktem et al [38], and Oktem and Guedes Soares [39,40].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Levy-Type Boundary Fourier Analysis of Thick Cross-Ply Panels with Negative Gaussian Curvature

2015

Self Cite

View full text Add to dashboard Cite

A boundary-discontinuous generalized double Fourier-series-based solution to the problem of deformation of a finite-dimensional general cross-ply thick, doubly curved panel with negative Gaussian curvature and of rectangular planform, modeled using a higher-order shear deformation theory, is presented. This spectral method is used to solve a system of five highly coupled, linear partial differential equations, generated by the higher-order shear deformation theory-based laminated shell analysis, with the simply supported of type 2 boundary condition prescribed on two opposite edges, whereas the remaining two edges are subjected to the simply supported of type 3 constraint. The hitherto unavailable important numerical results presented include sensitivity of the predicted response quantities of interest to shell geometry (negative or positive Gaussian curvature), lamination and thickness effects, as well as their interactions.

show abstract

“…Only HSDT-based solution for considering SS2 boundary condition is due to Chaudhuri and Kabir. 29 Levy type analytical solutions using the same solution technique were presented by Oktem and Chaudhuri [30][31][32] to the problem of deformation of a finite-dimensional general cross-ply thick rectangular plates, modeled using HSDT. Following Levy type problems, a new HSDT based analytical solution for general cross-ply plates, and subjected to the clamped edge 3 (C3) conditions prescribed at all four edges, was solved analytically using the boundary discontinuous double Fourier series technique by Oktem and Chaudhuri.…”

Section: Introductionmentioning

confidence: 99%

Higher order theory based Fourier analysis of cross-ply plates and doubly curved panels

Öktem

Soares

2012

Journal of Composite Materials

Self Cite

View full text Add to dashboard Cite

An analytical solution to the static analysis of a general cross-ply finite-dimensional doubly curved panel of rectangular plan-form, modeled using a higher order shear deformation theory, is presented. A solution methodology, based on boundary-discontinuous generalized double Fourier series approach is used to solve a system of five highly coupled linear partial differential equations, generated by the higher order-based laminated shell analysis, with the fully clamped type 4 (C4) boundary condition prescribed on two opposite edges, while the remaining two edges are subjected to the simply supported type 4 (SS4) constraint. The numerical accuracy of the solution is ascertained by studying the convergence characteristics of the deflection and moment of a cross-ply spherical panel, and also by comparison with the available results in literature. Additional comparisons were made with the finite element counterparts using commercially available software for distributed load. Hitherto unavailable important numerical results presented include sensitivity of the predicted response quantities of interest to shell geometry (cylindrical and spherical), lamination, lamina material property, thickness and membrane effects as well as their interactions.

show abstract

Fourier analysis of thick cross-ply Levy type clamped doubly-curved panels

Cited by 36 publications

References 29 publications

Three-dimensional stress analysis of orthotropic curved tubes-part 1: Single-layer solution

Three-dimensional stress analysis of orthotropic curved tubes-part 1: Single-layer solution

Levy-Type Boundary Fourier Analysis of Thick Cross-Ply Panels with Negative Gaussian Curvature

Higher order theory based Fourier analysis of cross-ply plates and doubly curved panels

Contact Info

Product

Resources

About