Buckling analysis and shape optimization of elastic variable thickness circular and annular plates—I. Finite element formulation

Özakça, Mustafa; Tayşi, Nildem; Kolcu, F.

doi:10.1016/s0141-0296(02)00133-5

Cited by 25 publications

(9 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The results are prepared for different values of the thickness and inner-to-outer radius ratios. Additionally, to validate the results, they are compared with those obtained by Ö zakça et al [12] based on the first-order shear deformation theory (FSDT) using the finite element method (FEM). For all cases, fast rate of convergence of the method is quite evident and it is found that only five DQ grid points in the thickness direction and three elements in the radial direction are sufficient to obtain accurate results.…”

Section: Numerical Resultsmentioning

confidence: 98%

“…In Table 4, the buckling load parameters of thin-to-moderately thick free-clamped (F-C) annular plates are compared with those of the FSDT [12] for different values of the inner-to-outer radius ratios. Very close agreement between the results of the two approaches is obvious.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…A wide spectrum of the thickness-to-outer radius ratios, which covers the thin-tomoderately thick plates, is considered. In Table 5, the results for simply supported and clamped circular plates rested on Winkler elastic foundations are compared with those of Ö zakça et al [12]. Presented in Tables 6 and 7 are the results for simply supported and clamped circular plates on a single ring support (Fig.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. However, there are few studies on thick circular and annular plates using elasticity theory [17][18][19], which are limited to plates without lateral restraints.…”

Section: Introductionmentioning

confidence: 99%

“…The commonly used approximate methods for the buckling analysis of circular and annular plates are the Ritz and finite element methods [5,[7][8][9][10]12,16]. Recently, the differential quadrature method (DQM) has emerged as a distinct numerical technique which has capability of producing highly accurate results with minimum computational efforts for initial and boundary value problems.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Axisymmetric buckling analysis of laterally restrained thick annular plates using a hybrid numerical method

Malekzadeh

Ouji

2008

International Journal of Pressure Vessels and Piping

View full text Add to dashboard Cite

Section: Numerical Resultsmentioning

confidence: 98%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Axisymmetric buckling analysis of laterally restrained thick annular plates using a hybrid numerical method

Malekzadeh

Ouji

2008

International Journal of Pressure Vessels and Piping

View full text Add to dashboard Cite

Experiments on the bending failure of diagonally stiffened circular plates

Modarresi

Showkati

2011

Materialwissenschaft Werkst

View full text Add to dashboard Cite

In this paper, the bending behavior of circular steel plates with diagonal stiffeners has been studied. A bending analysis of the circular plates with different diagonal stiffeners has been carried out experimentally in order to predict their ultimate bending capacity. Two types of shallow and deep stiffeners of reverse L and rectangular cross sections were installed to strengthen the plates. In the experiments, both simply-supported and clamped-edge boundary conditions were set up under the effect of lateral pressure. The obtained experimental results have been verified by a non-linear analysis of the stiffened circular plates using the finite element method (FEM). The analytical process has been carried out based on the tensile test data of the steel used in the specimens. Furthermore, the post-buckling behavior of the plates has been studied up to the final flexural collapse, where unusual rupture results have been found. Different studies have shown a good consistency between experimental and analytical results.

show abstract

Elastic buckling of circular annular plate reinforced with carbon nanotubes

et al. 2011

View full text Add to dashboard Cite

The buckling analysis of circular annular plate reinforced by carbon nanotubes (CNTs) subjected to compressive and torsional loads with various axially symmetric boundary conditions are studied in this paper. The developed model is based on the classical laminated plate theory (CLPT). The Mori‐Tanaka method is employed to calculate the effective elastic modulus of composites having aligned oriented straight CNTs. The eigenvalues of the problem are obtained by means of an analytical approach based on the optimized Rayleigh‐Ritz method. The effects of CNTs orientation angles, edge conditions, geometric ratio of plate and agglomeration of the randomly oriented straight CNTs are investigated on the critical buckling loads. Extensive studies validity of the results based on available data have been carried out prior to the presentation of salient results of this analysis. POLYM. COMPOS., 2011. © 2011 Society of Plastics Engineers

show abstract

Buckling analysis and shape optimization of elastic variable thickness circular and annular plates—I. Finite element formulation

Cited by 25 publications

References 14 publications

Axisymmetric buckling analysis of laterally restrained thick annular plates using a hybrid numerical method

Axisymmetric buckling analysis of laterally restrained thick annular plates using a hybrid numerical method

Experiments on the bending failure of diagonally stiffened circular plates

Elastic buckling of circular annular plate reinforced with carbon nanotubes

Contact Info

Product

Resources

About