Accession Number : AD0719376

Title :   Compression of an Elastic Roller Between Two Rigid Plates.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Sternberg,Eli ; Turteltaub,Matias J.

Report Date : JAN 1971

Pagination or Media Count : 36

Abstract : A closed solution-exact within two-dimensional linear elastostatics - is deduced for the problem appropriate to the compression of an elastic circular cylinder between two smooth, flat and parallel, rigid plates. The boundary displacements obtained for the cylinder involve elliptic integrals, whereas its stress field is given in terms of elementary functions exclusively. The results found for the distribution of the contact pressure and for the width of the contact zone are compared with the corresponding predictions of Hertz's approximate theory, for which elementary corrections are determined by asymptotic means. Analogous corrections are established for a previously available approximate estimate of the diametral compression undergone by the roller, which remains indeterminate in the Hertz treatment of this two-dimensional contact problem. (Author)

Descriptors :   (*ROLLER BEARINGS, COMPRESSIVE PROPERTIES), STRESSES, DEFORMATION, HILBERT SPACE, BOUNDARY VALUE PROBLEMS, CYLINDRICAL BODIES

Subject Categories : Machinery and Tools
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE