Accession Number : AD0693195

Title :   THE THEORY OF PLANE ELASTIC DEFORMATION APPLIED TO THE COMPRESSION OF RUBBER SEALS,

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB

Personal Author(s) : Ehlers,F. Edward

Report Date : AUG 1969

Pagination or Media Count : 34

Abstract : The theory of plane elastic deformation as developed by Milne-Thomson utilizing complex variables is explained in detail. Formulas for the displacements and the normal and shear stress in a circular disc are presented in terms of analytic functions of a complex variable. By means of these formulas, an iteration procedure for finding the pressure distribution on a lubricated O ring in a rectangular channel is developed. Since the general form of the pressure distribution on the ring is known, the pressure distribution is first estimated. By means of Fourier analysis, the coefficients for the pressure on the boundary are found; and from these coefficients, the expansions for the displacements on the boundary are calculated. The first estimate of the boundary pressure is then modified to improve the displacements until the ring fits into the rectangular channel. Formulas are derived for the appropriate coefficients in the expansion. (Author)

Descriptors :   (*O RINGS, COMPRESSIVE PROPERTIES), RUBBER SEALS, ELASTIC PROPERTIES, DEFORMATION, FRICTION, LUBRICATION, STRESSES, DISKS, PRESSURE, THEORY, FUNCTIONS(MATHEMATICS), ITERATIONS, FOURIER ANALYSIS, BOUNDARY VALUE PROBLEMS

Subject Categories : Adhesives, Seals and Binders
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE