The folding of heavy fabric sheets

Lloyd, D.W.; Shanahan, W. J.; Konopasek, M.

doi:10.1016/0020-7403(78)90050-4

Cited by 44 publications

(22 citation statements)

References 6 publications

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“…It can be used for simulation of many problems from the field of textile mechanics, for example, fabric folding (Figure 11), motion of the sewing thread and so on. Similar investigations, but not using Lagrange's equations, have been described by Lloyd in [7]. The results of calculations show clearly wave nature of phenomenon.…”

Section: Resultssupporting

confidence: 73%

Numerical Modeling of the Motion of the Flat Textile Structures

Szablewski

2011

ISRN Mechanical Engineering

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In many problems from the field of textile engineering (e.g., fabric folding, motion of the sewing thread) it is necessary to investigate the motion of the objects in dynamic conditions, taking into consideration the influence of the forces of inertia and changing in the time boundary conditions. This paper deals with the model analysis of the motion of the flat textile structure using Lagrange's equations in two variants: without constraints and with constraints. The motion of the objects is under the influence of the gravity force. Lagrange's equations have been used for discrete model of the structure.

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Section: Resultssupporting

confidence: 73%

Numerical Modeling of the Motion of the Flat Textile Structures

Szablewski

2011

ISRN Mechanical Engineering

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“…Postscript. An earlier paper of Lloyd, Shanahan, and Konopasek [7] was brought to our attention after our work was published. It treated numerically the folding of heavy fabric sheets, based on equations equivalent to ours, and obtained many of the same results.…”

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confidence: 99%

Periodic Folding of Thin Sheets

Mahadevan¹,

Keller²

1995

SIAM J. Appl. Math.

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When a thin sheet of a flexible material such as paper is fed from a horizontal spool towards a rough horizontal plane below it, the sheet folds on itself in a regular manner. We model this phenomenon as a free boundary problem for a nonlinearly elastic sheet, taking into account the stiffness and weight of the sheet and the height of the spool above the plane. By using a continuation scheme we solve the problem numerically and follow the evolution of one period of the fold for various values of the parameters. The results are found to agree well with observations of the folding of paper sheets.

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“…The method can be used for simulation of many problems from the field of textile mechanics, for example fabric folding (Figure 11), motion of the sewing thread etc. Similar investigations, but not using Lagrange's equations, have been described by Lloyd [13].…”

Section: Discussionmentioning

confidence: 60%

Lagrange’s equations with constraints in model applications from the field of textile mechanics

Szablewski

2011

Journal of Industrial Textiles

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In many problems from the field of textile engineering (e.g. fabric folding, motion of the sewing thread), it is necessary to investigate the motion of the objects in dynamic conditions, taking into consideration the influence of the forces of inertia and changing in the time boundary conditions. This article deals with the model analysis of the motion of the flat textile structure using Lagrange’s equations with constraints. The motion of the objects is under the influence of the gravity force. Lagrange’s equations have been used for discrete model of the structure. Numerical considerations presented in this article should give answer about practical usefulness of the Lagrange’s equations for solving the dynamic problem.

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The folding of heavy fabric sheets

Cited by 44 publications

References 6 publications

Numerical Modeling of the Motion of the Flat Textile Structures

Numerical Modeling of the Motion of the Flat Textile Structures

Periodic Folding of Thin Sheets

Lagrange’s equations with constraints in model applications from the field of textile mechanics

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