Deflections of inflatable fabric panels at high pressure

Wielgosz, Christian; Thomas, Jean-Christophe

doi:10.1016/s0263-8231(02)00010-1

Cited by 73 publications

(60 citation statements)

References 3 publications

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“…It also shows that the critical wrinkling and failure moments are proportional to the internal pressure due to the improvement of the transverse shear stiffness, which is described by equation (2.32). This is in line with the conclusions in the literature [8]. Figure 7b depicts the moment-deflection responses of the inflated beam with internal pressure of 5 kPa for different radii (0.015, 0.025 and 0.035 m).…”

Section: (C) Critical Wrinkling Moment and Failure Momentsupporting

confidence: 90%

“…Fichter [7] published a paper in which the internal pressure appears in the deflection expression based on the minimization of total potential energy. By taking into account the deformed state of the beam, Wielgosz & Thomas [8,9] gave analytical expressions for inflated beams and panels using Timoshenko beam theory. In their approach, the force generated by internal pressure was treated as a follower force, which accounted for pressure stiffening effects.…”

Section: Introductionmentioning

confidence: 99%

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The interactive bending wrinkling behaviour of inflated beams

et al. 2016

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A model is proposed based on a Fourier series method to analyse the interactive bending wrinkling behaviour of inflated beams. The whole wrinkling evolution is tracked and divided into three stages by identifying the bifurcations of the equilibrium path. The critical wrinkling and failure moments of the inflated beam can then be predicted. The global-local interactive buckling pattern is elucidated by the proposed theoretical model and also verified by non-contact experimental tests. The effects of geometric parameters, internal pressure and boundary conditions on the buckling of inflated beams are investigated finally. The results reveal that the interactive buckling characteristics of an inflated beam under bending are more sensitive to the dimensions of the structure and boundary conditions. We find that for beams which are simply supported at both ends or clamped and simply supported, boundary conditions may prevent the wrinkling formation. The results provide significant support for our understanding of the bending wrinkling behaviour of inflated beams.

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Section: (C) Critical Wrinkling Moment and Failure Momentsupporting

confidence: 90%

Section: Introductionmentioning

confidence: 99%

The interactive bending wrinkling behaviour of inflated beams

et al. 2016

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“…One can see that the pressure appears in this formula by means of the terms X, but that the beam and yarn effects dissociated in the case of inflatable panels [1] are here coupled by the shear stress influence.…”

Section: Deflection Of the Inflated Tubementioning

confidence: 95%

“…In a recent paper [1], we constructed the mechanical theory of highly inflated panels. Their behaviour depends mainly on the material characteristics of the fabrics, the applied pressure and the external loading.…”

Section: Introductionmentioning

confidence: 99%

Deflections of highly inflated fabric tubes

Thomas

Wielgosz

2004

Thin-Walled Structures

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Inflatable beams made of modern textile materials with important mechanical characteristics can be inflated at high pressure. The aim of the paper is to present experimental, analytical and numerical results on the deflections of highly inflated fabric tubes submitted to bending loads. Experiments are displayed and we show that tube behaviour looks like that of inflatable panels (Thin-Walled Struct. 40 (2002) 523-536). Equilibrium equations are once again written in the deformed state to take into account the geometrical stiffness and the following forces. The influence of the shear stress cannot be neglected and Timoshenko's beam theory is used. A new inflatable tube theory is established and simple analytical formulas are given for a cantilever-inflated tube. Comparisons between analytical and experimental results are shown. A new inflatable finite tube element is constructed by use of algebraic operations, because the compliance matrix of the cantilever beam is not symmetric. Comparisons between experimental, analytical and numerical results prove the accuracy of this beam theory and on this new finite element for solving problems on the deflections of highly inflated tubes.

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“…Wielgosz and Thomas [8] [9] dealt with analytical solutions for inflatable isotropic beams and panels by establishing the equilibrium equations in the deformed state in order to incorporate the internal pressure in their formulation. They considered the internal pressure as a follower force which represents the strengthening effect on the bending and shear stiffnesses.…”

Section: Introductionmentioning

confidence: 99%

Inflation and bending of an orthotropic inflatable beam

Nguyen

Thomas

van

2015

Thin-Walled Structures

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An inflatable beam is an airtight structure made of a soft technical fabric and subjected to an internal pressure which gives it a final cylindrical shape, a pre-stress in the membrane and a bearing capacity. Against all appearances, it is not a standard beam and it requires a specific formulation in order to take account of the internal pressure which plays a key role in its mechanical response.This work deals with inflatable beams made of orthotropic materials. The first part of the paper is concerned with the inflation of the membrane tube, an important stage which is often neglected so far in the literature. As preliminaries of the bending problem studied in the next part of the paper, the constitutive law related to the inflated state of the tube -not the natural state -is investigated. It will be shown that the constitutive law related to the inflated pre-stressed state is not the same as the constitutive law related to the natural state. Expressions of the material coefficients involved in the former constitutive law will be established from the material coefficients defined on the natural reference configuration which are the only ones supposed to be known.The second part of the paper deals with the bending of the inflatable beam. The Timoshenko beam kinematics will be chosen because of the significant shear effect in the tube wall and the problem will be formulated in finite deformations in order to accounts for all the nonlinear effects, in particular the action due to the internal pressure which is a follower load. The nonlinear system of equations obtained will then be linearized around the pre-stressed configuration and will result in a more tractable linear system.Preprint submitted to Thin-Walled Structures November 20, 2014 The proposed formulation allows a comprehensive study of the influence of the internal pressure on the geometry and material properties of orthotropic inflatable beams The analytical results will be compared with numerical results obtained from a nonlinear membrane finite element code.

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Deflections of inflatable fabric panels at high pressure

Cited by 73 publications

References 3 publications

The interactive bending wrinkling behaviour of inflated beams

The interactive bending wrinkling behaviour of inflated beams

Deflections of highly inflated fabric tubes

Inflation and bending of an orthotropic inflatable beam

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