ON A FUNCTIONAL EQUATION IN FINITE DEFORMATION
Abstract
Five new results for bending of plates into cylindrical shells are given explicitly in terms of elliptic integrals, and three are given in terms of hyperelliptic integrals of the second kind. The mapping reduces to a hyperbolic function and the elliptic and hyperbolic shapes can then be treated. Combined with previous results it is concluded that an incompressible rectangular plate can be bent into a cylindrical shell whose section is a conic by suitable forces and couples applied both to the edges and the curved surfaces. This holds good for all new shapes obtained from the functional equation. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1961
- Accession Number
- AD0264831
Entities
People
- B.r. Seth
Organizations
- University of Wisconsin–Madison