SOME CONSERVATIVE AND NONCONSERVATIVE STABILITY PROBLEMS WITH THE LOAD APPLIED AT AN ARBITRARY POINT ALONG THE AXIS OF A BEAM

Some problems in the theory of stability of elastic bars subjected to conservative and nonconservative loads are solved. The load is applied at an arbitrary point along the length of the beam, and the variation of the critical load with the load position is determined. Exact results are computed according to the appropriate static or dynamic criterion. Three approximate methods are also employed, and the approximate and exact numerical results are compared. These methods consist of Galerkin's procedure and Ritz' method formulated in terms of a special form of Hamilton's principle and the adjoint problem associated with the original stability problem. (Author)

• Corporate Authors:

  Watervliet Arsenal

  Watervliet, NY  United States  12189
• Authors:
  • Brunelle, E J
  • Anderson, G L
• Publication Date: 1971-6

Media Info

• Pagination: 116 p.

Subject/Index Terms

• TRT Terms: Beams; Elasticity (Mechanics); Loads; Structural analysis
• Uncontrolled Terms: Structural stability
• Old TRIS Terms: Beams (Structural)
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00025668
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: WVT-7129
• Files: TRIS
• Created Date: Feb 11 1973 12:00AM