Application of the Theory of Slender Curved Rods to the Analysis of Elastic Yarns.
Abstract
This report summarizes recent work of the author on the application of the theory of slender curved rods to the extension of long elastic filament yarns. A formulation of a linear theory of slender curved rods is given, the rod being treated as a one-dimensional body, and this theory is then applied to investigate the small extension of two-ply and continuous filament yarns. The filaments in the yarns are treated as elastic slender curved rods with the center line of the rod lying along a circular helix. The yarn elongation and filament stresses are analyzed for yarns with various geometrics, the ends of the yarns being clamped or free. The effect of the superposition of a twisting moment on the axial extension is also discussed. In comparison with previous work on similar problems for yarns the method of the report requires fewer assumptions and approximations and can provide better geometrical and physical insights.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1975
- Accession Number
- ADA016103
Entities
People
- N. C. Huang
Organizations
- University of Wisconsin–Madison