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Some further results on the rubber membrane theory and Laplace's equation

W Fulop

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Some further results and points are presented to underline the theory of constant horizontal tension of the rubber membrane as discussed in a previous paper by the author.(3) Small deflexion theory which assumes constant resultant tension fails, in the case of coaxial geometry, to account at large deflexions for (a) the linear force-deflexion law obtained and (b) the close correspondence of the membrane's contour to Laplace's equation. Both observations are successfully predicted by the revised theory which places no limitations on geometry or deflexion for the above two conditions to hold. Experiment also confirmed a linear force-deflexion law for an asymmetric geometry.


PACS

46.70.Hg Membranes, rods and strings

46.40.-f Vibrations and mechanical waves

Subjects

Condensed matter: structural, mechanical & thermal

Dates

Issue 11 (November 1957)

Received 8 April 1957



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