A new approximate method to evaluate the ultimate strength of ship hull girder

Tayyar, Gökhan Tansel; Bayraktarkatal, Ertekin

doi:10.1201/b11810-51

Cited by 3 publications

(5 citation statements)

References 2 publications

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“…The wellknown applications in the bending of beams are those with uniform curvature distributions, where the deflection curve forms with parts of a circle [16]. Tayyar and Bayraktarkatal [17] reported a numerical iterative method for the nonuniform curvature distributions of stiffened plates considering second-order theory and local plate buckling while neglecting the shear effect. This method provides an opportunity to form the most complex deflection curves easily via curvatures of the individual segments.…”

Section: Fundamentals Of Curvature-based Kinematic Planar Deflection mentioning

confidence: 99%

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A new approach for elasto-plastic finite strain analysis of cantilever beams subjected to uniform bending moment

Tayyar

2016

Sādhanā

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The reliability and limits of solutions for static structural analysis depend on the accuracy of the curvature and deflection calculations. Even if the material model is close to the actual material behavior, physically unrealistic deflections or divergence problems are unavoidable in the analysis if an appropriate fundamental kinematic theory is not chosen. Moreover, accurate deflection calculation plays an important role in ultimate strength analysis where in-plane stresses are considered. Therefore, a more powerful method is needed to achieve reliable deflection calculation and modeling. For this purpose, a new advanced step was developed by coupling the elasto-plastic material behavior with precise general planar kinematic analysis. The deflection is generated precisely without making geometric assumptions or using differential equations of the deflection curve. An analytical finite strain solution was derived for an elasto-plastic prismatic/non-prismatic rectangular cross-sectioned beam under a uniform moment distribution. A comparison of the analytical results with those from the Abaqus FEM software package reveals a coherent correlation.

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Section: Fundamentals Of Curvature-based Kinematic Planar Deflection mentioning

confidence: 99%

“…The reference point is selected as the clamped edge, where the slope angle is zero. Equation (3) can be expressed as follows by substituting (17) into (13) and then into (3) under a uniform bending moment:…”

Section: Displacement Equations Of Tapered Beamsmentioning

confidence: 99%

A new approach for elasto-plastic finite strain analysis of cantilever beams subjected to uniform bending moment

Tayyar

2016

Sādhanā

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“…The deflection curve was obtained by arc length parameterization. The deflection curve of the structure can be modeled easily and determined using the curvature values, even if material or geometrical nonlinearities occur [1]. Furthermore, progressive collapse analysis can be obtained using a single numerical progressive procedure by curvature values or curvature function, regardless of the structure being in the elastic, plastic, or etc.…”

Section: Introductionmentioning

confidence: 99%

“…The proposed theory was adapted to a second-order theory-based numerical method for a one-dimensional (1-D) structure [1]. The results of the proposed method were used in Smith's method to perform progressive collapse analysis of a Very Large Crude Carrier "Energy Consideration" [1].…”

Section: Introductionmentioning

confidence: 99%

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Kinematic Displacement Theory of Planar Structures

Tayyar¹,

Bayraktarkatal²

2012

International Journal of Ocean System Engineering

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This paper presents a new curvature based kinematic displacement theory and a numerical method to calculate the planar displacement of structures from a geometrical viewpoint. The theory provides an opportunity to satisfy the kinematic equilibrium of a planar structure using a progressive numerical approach, in which the cross sections are assumed to remain plane, and the deflection curve was evaluated geometrically using the curvature values despite being solved using differential equations. The deflection curve is parameterized with the arc-length, and was taken as an assembly of the chains of circular arcs. Fast and accurate solutions of most complex deflections can be obtained with few inputs.

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