Accession Number : AD0487456

Title :   VISCOELASTIC RINGS WITH FINITE DEFLECTIONS.

Descriptive Note : Technical rept.,

Corporate Author : COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS

Personal Author(s) : Schoenberg, M. ; Bleich, H. H.

Report Date : APR 1966

Pagination or Media Count : 60

Abstract : An analysis applicable for finite deflections of viscoelastic rings under diametrically opposed forces is presented under the assumption that the strains are small and that the rings are inextensible. Two cases are considered. In the first one the ring is linearly viscoelastic in flexure, while shear effects are neglected. In the second case the ring is elastic in flexure, but viscoelastic shear effects are included in the analysis. Two alternative formulations are given, one leading to an integro-differential equation, the other to a partial differential equation. Both formulations are non-linear, but are suitable for numerical solution by digital computer. In addition to the above exact formulations a useful and simple approximate one is presented. It is a generalization of the elastic-viscoelastic analogy for the case of small deflections. The methods, presented for rings, are generally applicable to statically determinate or indeterminate structures consisting of straight or curved bars. (Author)

Descriptors :   (*VISCOELASTICITY, RINGS), DEFLECTION, PARTIAL DIFFERENTIAL EQUATIONS, BENDING, SHEAR STRESSES, MOMENTS, STRESSES.

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE