Finite element formulation for inflatable beams

van, Anh Le; Wielgosz, Christian

doi:10.1016/j.tws.2007.01.015

Cited by 28 publications

(13 citation statements)

References 12 publications

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“…The internal pressure p is assumed to remain constant, which simplifies the analysis and is consistent with the experimental observations and the prior studies on inflated fabric beams and arches [1][2][3][4][5][6][9][10][11][12][13]. The initial pressurization takes place prior to the application of concentrated and distributed external loads, and is not included in the structural analysis per se.…”

Section: Theoretical Backgroundmentioning

confidence: 96%

“…When a negative (compressive) stress is about to appear the membrane will wrinkle and the negative stress should vanish. Concerning the inflatable cylindrical beams, many studies have dealt with the wrinkling phenomenon [1][2][3]5,7,9,13,22,23]. The theoretical model developed in this paper supposes that no wrinkle occurs.…”

Section: Wrinkling Load For An Inflatable Beam Under a Compressive Comentioning

confidence: 99%

“…Fichter's equations for the buckling load have shown that the internal pressure increases the resistance to the transverse shear deformation and have shown that the buckling loads are lower than those predicted using Euler's buckling theory. Further works conducted by Le van and Wielgosz [5,9] have provided a good approximation for the critical load for a cantilever beam. Their results have shown that the buckling load is not only a function of the mechanical properties but also of the inflation pressure.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analytical buckling analysis of an inflatable beam made of orthotropic technical textiles

Nguyen¹,

Ronel²,

Massenzio³

et al. 2012

Thin-Walled Structures

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An analytical approach was considered to study the buckling and the behavior of an inflatable orthotropic beam subjected to uniform compression loads under different boundary conditions. In order to assess the stability of inflatable structures, it is necessary to evaluate the critical load of the inflatable components in their pressurized configurations. First, a 3D inflatable orthotropic beam model based on the Timoshenko's kinematics was briefly introduced: the nonlinearities (finite rotation, follower forces) were included in this model. The nonlinear equilibrium equations were derived from the total Lagrangian form of the virtual work principle: the linearized equations were then obtained. By solving these linearized equations, an analytical expression of the critical buckling load was obtained. This critical buckling load was investigated through several load cases with several boundary conditions. The discrepancy due to the orthotropic character between the present model and the isotropic models found in the literature was evaluated, as well as the influence of the inflation pressure and the fabric mechanical properties on the value of critical load. The buckling mode shapes were also determined. To check the limit of validity of the results, the wrinkling load was also presented in every case.

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Section: Theoretical Backgroundmentioning

confidence: 96%

Section: Wrinkling Load For An Inflatable Beam Under a Compressive Comentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analytical buckling analysis of an inflatable beam made of orthotropic technical textiles

Nguyen¹,

Ronel²,

Massenzio³

et al. 2012

Thin-Walled Structures

View full text Add to dashboard Cite

show abstract

“…For complex inflatable structures, these methods have very low computation efficiency and convergence characteristics. Lately, Le van and Wielgosz [15] presented an inflatable beam FE for inflatable panels based on the virtual work principle with Timoshenko's kinematics, finite rotations and small strains. This element including the inflation pressure effect was obtained by the equilibrium FE method, according to which the global compliance is the sum of the yarn and beam compliances.…”

Section: Introductionmentioning

confidence: 99%

“…In this research, the PB (Pseudo-beam) method is firstly proposed in order to improve and extend Le van's work [15] to the nonlinear case and the more complicated inflatable structures. The discretized nonlinear equations are given based upon the virtual work principle with a 3-node Timoshenko's beam model.…”

Section: Introductionmentioning

confidence: 99%

Pseudo-beam method for compressive buckling characteristics analysis of space inflatable load-carrying structures

Wang

Tan

2009

Acta Mech Sin

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This paper extends Le van's work to the case of nonlinear problem and the complicated configuration. The wrinkling stress distribution and the pressure effects are also included in our analysis. Pseudo-beam method is presented based on the inflatable beam theory to model the inflatable structures as a set of inflatable beam elements with a prestressed state. In this method, the discretized nonlinear equations are given based upon the virtual work principle with a 3-node Timoshenko's beam model. Finite element simulation is performed by using a 3-node BEAM189 element incorporating ANSYS nonlinear program. The pressure effect is equivalent included in our method by modifying beam element cross-section parameters related to pressure. A benchmark example, the bending case of an inflatable cantilever beam, is performed to verify the accuracy of our proposed method. The comparisons reveal that the numerical results obtained with our method are close to open published analytical and membrane finite element results. The method is then used to evaluate the whole buckling and the loadcarrying characteristics of an inflatable support frame subjected to a compression force. The wrinkling stress and region characteristics are also shown in the end. This method gives better convergence characteristics, and requires much less computation time. It is very effective to deal with the whole The project supported by the Specialized Fund for the Doctoral

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A new model for wrinkling and collapse analysis of membrane inflated beam

Wang

Tan

et al. 2010

Acta Mech Sin

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A new model is proposed to accurately predict the wrinkling and collapse loads of a membrane inflated beam. In this model, the pressure effects are considered and a modified factor is introduced to obtain an accurate prediction. The former is achieved by modifying the pressure-related structural parameters based on elastic small strain considerations, and the modified factor is determined by our test data. Compared with previous models and our test data, the present model, named as shell-membrane model, can accurately predict the wrinkling and collapse loads of membrane inflated beams.

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Finite element formulation for inflatable beams

Cited by 28 publications

References 12 publications

Analytical buckling analysis of an inflatable beam made of orthotropic technical textiles

Analytical buckling analysis of an inflatable beam made of orthotropic technical textiles

Pseudo-beam method for compressive buckling characteristics analysis of space inflatable load-carrying structures

A new model for wrinkling and collapse analysis of membrane inflated beam

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