Buckling of circular, annular plates of continuously variable thickness used as internal bulkheads in submersibles

Ciancio, Patricia M.; Reyes, J.A.

doi:10.1016/s0029-8018(02)00136-1

Cited by 8 publications

(4 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In general, if the function which introducing the unknown quantity, is a linear combination of shape modes , as follows: (15) where c n is the unknown constants. Regarding to the idea of optimization, by performing the optimized Ritz method, it is quite convenient to approximate the displacement amplitude W(R) by means of a summation [4]: (16) Note that k in above equation is the exponential optimization parameter. Regarding to the equation (15), out-plane displacement is given as follows: (17) By minimizing potential energy functional in Ritz method: (18) Total number of N linear homogenous algebraic equations are generated that the unknowns are constants c n .…”

Section: Optimized Ritz Methodsmentioning

confidence: 99%

“…It forms the eigenvalue problem that the eigenvlaues are the values of buckling load parameter. The non-trivially condition leads to a transcendental equation in whose lowest root is the desired buckling load factor [4]. Since , by requiring one is able to optimize the fundamental eigenvalue.…”

Section: Optimized Ritz Methodsmentioning

confidence: 99%

“…Imposed boundary condition of plate for inner edge either outer edge was under different supports. Cianco [4] studied on buckling of circular and annular isotropic plate with variable thickness that used as a part of submarine. This plate was considered with free support on inner edge and clamped support and resistant of rotation for outer edge.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Investigation on Buckling of Orthotropic Circular and Annular Plates of Continuously Variable Thickness by Optimized Ritz Method

Farhatnia

Golshah

2010

Int. J. Simul. Multidisci. Des. Optim.

View full text Add to dashboard Cite

-This paper investigates symmetrical buckling of orthotropic circular and annular plates of continuous variable thickness. Uniform compression loading is applied at the plate outer boundary. Thickness varies linearly along radial direction. Inner edge is free, while outer edge has different boundary conditions: clamped, simply and elastically restraint against rotation. The optimized Ritz method is applied for buckling analysis. In this method, a polynomial function that is based on static deformation of orthotropic circular plates in bending is used. Also, by employing an exponential parameter in deformation function, eigenvalue is minimized in respect to this parameter. The obtained results show that in plate with identical thickness, increasing of outer radius decreases the buckling load factor

show abstract

Section: Optimized Ritz Methodsmentioning

confidence: 99%

Section: Optimized Ritz Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Investigation on Buckling of Orthotropic Circular and Annular Plates of Continuously Variable Thickness by Optimized Ritz Method

Farhatnia

Golshah

2010

Int. J. Simul. Multidisci. Des. Optim.

View full text Add to dashboard Cite

show abstract

“…The effect of the eccentricity of a hole on natural frequency was also investigated, and high accuracy and rate of convergence were obtained in this paper. Ciancio et al [6] studied the buckling of circular, annular plates of continuously variable thickness used as internal bulkheads in submersibles. Ha et al [7] performed an experimental study and numerical analysis for the free vibration of flat plates under dry and wet conditions.…”

Section: Introductionmentioning

confidence: 99%

Differential Transform Method for Axisymmetric Vibration Analysis of Circular Sandwich Plates with Viscoelastic Core

Demir

2022

Symmetry

View full text Add to dashboard Cite

The purpose of this paper is to study the axisymmetric vibrations of circular three-layered sandwich plates with a frequency-dependent fractional viscoelastic core and elastic face sheets. First, the equations of motion and related boundary conditions are derived using the Hamilton’s principle for the free vibrations. Then, the governing equations obtained for various boundary conditions are solved and parametric studies are carried out to examine the vibration behavior of circular sandwich plates with a viscoelastic core. The differential transform method (DTM), a well-known semi-analytical–numerical solution technique, is utilized for the eigenvalue analysis. In addition, the finite element (FE) solution obtained with the commercial code ANSYS is added to this comparison. The effect of face and core layer thicknesses and the location of the core layer and core material on the dynamic and damping characteristics of circular sandwich plates with a fractional derivative viscoelastic core is studied in detail.

show abstract

Inelastic response of axisymmetric plates with cracks

Lellep

Mürk

2006

Int J Mech Mater Des

View full text Add to dashboard Cite

Buckling of circular, annular plates of continuously variable thickness used as internal bulkheads in submersibles

Cited by 8 publications

References 4 publications

Investigation on Buckling of Orthotropic Circular and Annular Plates of Continuously Variable Thickness by Optimized Ritz Method

Investigation on Buckling of Orthotropic Circular and Annular Plates of Continuously Variable Thickness by Optimized Ritz Method

Differential Transform Method for Axisymmetric Vibration Analysis of Circular Sandwich Plates with Viscoelastic Core

Inelastic response of axisymmetric plates with cracks

Contact Info

Product

Resources

About