THEORIES OF ELASTIC SLENDER CURVED RODS

The linear and nonlinear theories of elastic slender curved rods are formulated in a systematic manner. Equations of equilibrium for stress resultants and moments are derived. The generalized strains are defined based on the principle of virtual work. Constitutive equations corresponding to small strains are obtained. The field equations for finite deformations of curved rods can be simplified in the case of small axial strain and moderately small rotations. Further simplifications can be made for the case of slightly curved rods. Two examples are presented to illustrate applications of the developed theories. (Author)

• Corporate Authors:

  Notre Dame University

  College of Engineering
  Notre Dame, Indiana,   United States  46556
• Authors:
  • Huang, N C
• Publication Date: 1972-2

Media Info

• Pagination: 40 p.

Subject/Index Terms

• TRT Terms: Cylinders (Geometry); Elastic deformation; Elasticity (Mechanics); Shells (Structural forms); Structural analysis
• Uncontrolled Terms: Cylindrical shells
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00034465
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: UND-72-3 Tech Rpt
• Contract Numbers: N00014-68-A-0152
• Files: TRIS
• Created Date: Sep 27 1973 12:00AM