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The “shoulderproblem” of forming, filling and closing machines for pouches

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Abstract

The shape of the shoulder of a forming, filling and closing machine is calculated, based on geometrical considerations, first for a circular and subsequently for a rectangular (superelliptic) section. It appears to be possible to formulate a feasible solution for a model represented by a flat triangular region in the centre, which connects two truncated cones; for each cone one half of the intersection of shoulder and cylinder acts as the directrix of the cone. The solutions are formulated in terms which permit direct application in machine construction. Verification of the theory with the help of paper models and with real shoulders on machines shows a very good agreement between theory and practice. In addition practical tests produce excellent results as well.

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Abbreviations

a, b :

semi-axes of superellipse

h :

height of shoulder

n :

exponent of superellipse

p :

distance between guidance roll and centre of shoulder

q :

half width of film

r :

radius of cylinder

(r, ϕ, z):

polar coordinates

(u, v):

coordinates on film

(x, y, z):

Cartesian coordinates

(x 0, y 0, z 0):

coordinates of the apex of the cone

α :

angle between film and x-coordinate in central plane

tan β :

q/p

ψ(u):

section of shoulder plane with cylinder (also: directrix of cones)

ρ :

radius of angles of superellipse

References

  1. M. Gardner, Scientific American 213 (1965) 222.

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  2. G. L. Slopsema, P. C. Veenstra and J. A. G. Kals, Generalised method of determining blank size in deep drawing. Society of Manufacturing Engineers, Conference 1970, MF 70–186, 1970.

  3. G. L. Slopsema, Deepdrawing of superelliptic products (In Dutch) Thesis, Eindhoven University of Technology Laboratory for Production Engineering; report 0219, September 1969.

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Authors and Affiliations

  1. Institute T.N.O. for Packaging Research, Delft, The Netherlands

    E. Mot

Authors
  1. E. Mot
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Additional information

The Institute for Packaging Research is incorporated within the Organization for Industrial Research TNO.

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Mot, E. The “shoulderproblem” of forming, filling and closing machines for pouches. Appl. Sci. Res. 27, 1–13 (1973). https://doi.org/10.1007/BF00382472

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  • DOI: https://doi.org/10.1007/BF00382472

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