Accession Number : AD0723473

Title :   Infinitesimal Bendings of Surfaces with an Edge Under Certain Boundary Conditions.

Descriptive Note : R. E. Gibson Library bulletin translation series,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Fomenko,V. T.

Report Date : 21 JAN 1971

Pagination or Media Count : 13

Abstract : Infinitesimal bendings of surfaces of positive curvature with a smooth edge are examined. Given on the surface is a continuous field R of simple rays along the edge. To be sought is the existence of infinitesimal surface bendings under which edge points shift by a given value sigma (s) in the direction of R. The necessary and sufficient conditions of solution of the problem, imposed on the function sigma (s), are found. As a corollary of these conditions follow the rigidity of surfaces with sleeve joints of a special form and a strengthening of A.V. Pogorelov's theorem on the rigidity of surfaces when the distances between edge points and some fixed point are stationary. (Author)

Descriptors :   (*DIFFERENTIAL GEOMETRY, SURFACES), COMPLEX VARIABLES, BOUNDARY VALUE PROBLEMS, BENDING, THEOREMS, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE