The spline finite‐strip method in the buckling analyses of thin‐walled structures

Erp, van Gm Gerard; Menken, CM Cees

doi:10.1002/cnm.1630060608

Cited by 16 publications

(5 citation statements)

References 3 publications

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“…The functions (x) should be modiÿed in order to satisfy the prescribed boundary conditions. This modiÿcation may be found in Reference [4]. Table I.…”

Section: Spline Functionsmentioning

confidence: 98%

“…This has very considerable advantages over the 'conventional' spline ÿnite strip treatment, which requires the subdivision of the plate into eight strips in order to produce solutions of comparable accuracy to those of the bubble strip method. It is worth noting that Van Erp and Meneken [4] reported that the shear local buckling coe cient of a plate with an aspect ratio of 10 was calculated as 5.30. Their study used 30 section knots with 10 ÿnite strips.…”

Section: Plates In Shearmentioning

confidence: 99%

“…Tham and Szeto [3] applied the spline ÿnite strip method to the buckling analysis of arbitrary shaped plates. Van Erp and Menken [4] also studied a T-beam loaded by a concentrated force using the spline ÿnite strip method. They also presented a numerical method based on the spline ÿnite strip method to study the initial post-local buckling of folded plate structures [5].…”

Section: Introductionmentioning

confidence: 99%

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On the use of bubble functions in the local buckling analysis of plate structures by the spline finite strip method

Azhari

Hoshdar

Bradford

2000

Int. J. Numer. Meth. Engng.

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SUMMARYThis paper augments bubble functions to the ordinary spline ÿnite strip method in order to calculate the elastic local buckling coe cients of plates and plate structures. The results show that the use of bubble functions improves signiÿcantly the convergence of the spline ÿnite strip method in terms of the strip subdivision, and therefore leads to smaller storage requirements for the global sti ness and stability matrices, and faster eigenvalue extraction. Benchmark numerical investigations are presented, including the study of plates with di erent boundary conditions under uniaxial and biaxial stresses, plates with di erent aspect ratios under shear, and a sti ened panel under combined shear and compression that has been studied elsewhere. These studies demonstrate that by implementation of the bubble functions, rapid convergence of the solution is obtained. The formulation is ideal for analysing local buckling under a variety of boundary and loading conditions.

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“…The functions (x) should be modiÿed in order to satisfy the prescribed boundary conditions. This modiÿcation may be found in Reference [4]. Table I.…”

Section: Spline Functionsmentioning

confidence: 98%

Section: Plates In Shearmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the use of bubble functions in the local buckling analysis of plate structures by the spline finite strip method

Azhari

Hoshdar

Bradford

2000

Int. J. Numer. Meth. Engng.

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“…Critical load includes Bifurcation point and Extreme point [5,6,7].The character of the bifurcation point is its structure have the other bifurcation of equilibrium path nearby load -displacement equilibrium path, when the load gets to critical value, if the structure or load produce a little perturbation, Load -displacement will develop along bifurcation of equilibrium path. the character of the extreme point is when the load get to critical value, if the load or displacement produces a little vary, it will respectively displacement jump and the rapid decrease of load.…”

Section: Stability Analysis Of Dump Truck Bodymentioning

confidence: 99%

Structural Stability Analysis of Dump Truck Body Based on ANSYS

Wang

Ping

Chen

et al. 2012

AMR

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The force on dump truck body is telatively complicated, and different unloading working conditions will have effects on the body structure of dump truck. This paper made a modal analysis and feature buckling analysis of the body structure of dump truck under the unloading situation, and also made a nonlinear analysis under the certain circumstances. Through the ANSYS analysis, the body vibration frequency and buckling modal shape was calculated and figured out, and the design of dump truck body was optimized in order to make sure that the stiffness and stability meet the needs.

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“…The beam is made of material with Young's modulus E = 70960 MPa, and Poisson's ratio ν = 0.321. The beam is analyzed using 6 DEB2 elements and its lateral torsional buckling is compared with those obtained using two complicated shell models 24,25 in Table 2. Note that the difference is less than 0.2%…”

Section: Comparison With Shell Modelsmentioning

confidence: 99%

Modeling With Increased Efficiency and Versatility for Flexural-Torsional Buckling of Unsymmetrical Thin-Walled Structures

Marzouk

Gendy

Mikhaiel

et al. 2002

Int. J. Str. Stab. Dyn.

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Aiming at the performance-enhancement in coarse mesh modeling, we utilize a number of closed form solutions of a class of torsionally loaded thin-walled bars to formulate a two-noded element for spatial buckling analysis. The key in this relates to the use of the "exact" solution for the displacement fields (as oppose to the more conventional finite element approach where polynomial/Lagrangian-type interpolation is employed). That is, in addition to the well known "exact" solution for the coupled flexure/transverseshear problem, we utilize a new "exact" solution for the more difficult case of coupled system of differential equations governing a torsionally loaded thin-walled beam using the higher-order theories of non-uniform twist/bi-moment with coupled warping-shear deformations. For the linear analysis, convergence and accuracy study indicated that the proposed model to be rapidly convergent, stable and computationally efficient; i.e. one element is sufficient to exactly represent an end loaded part of the beam. Such model has been extended to account for nonlinear analysis, in particular, the flexural torsional buckling of thin-walled structures. To this end, the effect of finite rotations in space is accounted for as per the modern theories of spatial buckling, resulting in second-order accurate geometric stiffness matrices. Compared with the classical theory of thin-walled structures, the present approach is more general in that all significant modes of stretching, bending, shear (due to both flexure and torsional/warping), torsion, and warping are accounted for. The inclusion of non-uniform torsion is accomplished through adoption of the principle sectorial area. This requires incorporation of a warping degree of freedom in addition to the conventional six degrees of freedom at each node. The element is derived for general cross sections including the Wagner-effect contributions. The model's properties and performance, particularly with regard to the resulting (significant) improvements in mesh accuracy, are assessed in a fairly complete set of numerical simulations.

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The spline finite‐strip method in the buckling analyses of thin‐walled structures

Cited by 16 publications

References 3 publications

On the use of bubble functions in the local buckling analysis of plate structures by the spline finite strip method

On the use of bubble functions in the local buckling analysis of plate structures by the spline finite strip method

Structural Stability Analysis of Dump Truck Body Based on ANSYS

Modeling With Increased Efficiency and Versatility for Flexural-Torsional Buckling of Unsymmetrical Thin-Walled Structures

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