IMPROVED FINITE DIFFERENCE METHOD APPLIED TO THIN SHELLS

New methods of deriving more accurate difference equations are given. These are used to compute the stresses in thin shells. The governing shell equations are derived making the L.H. Donnell assumptions, so that unknowns are expressed in changes of curvatures and normal forces. These equations are then solved using improved finite difference formulas in which terms of higher order, compared to ordinary finite difference formulas, are taken into account. Several examples are given showing results comparable to other methods but using far fewer unknowns.

• Supplemental Notes:
  • Paper for the meeting May 10-12, 1971.
• Corporate Authors:

  American Society of Mechanical Engineers

  Two Park Avenue
  New York, NY  United States  10016-5990
• Authors:
  • Nelson, N
  • Chang, A
• Publication Date: 1971-5-10

Media Info

• Features: References;
• Pagination: 7 p.

Subject/Index Terms

• TRT Terms: Finite differences; Shells (Structural forms); Stresses
• Old TRIS Terms: Shell stresses; Shell theory
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00040959
• Record Type: Publication
• Source Agency: Engineering Index
• Report/Paper Numbers: Pap 71-PVP-24
• Files: TRIS
• Created Date: Feb 23 1973 12:00AM