Some Conservative and Nonconservative Stability Problems with the Load Applied at an Arbitrary Point along the Axis of a Beam.
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1971
- Accession Number
- AD0730680
Entities
People
- Eugene J. Brunelle
- Gary L. Anderson