The Mechanical Lift-Off of a Compressed Beam from a Rigid Base.
Abstract
Recently, the problem of mechanical buckling of a long beam resting on a frictionless rigid foundation and subjected to a uniform lateral loading was analyzed using a linear formulation. The purpose of this paper is to show that the linear analysis is not sufficient to predict a correct post-buckling response and that a completely non-linear formulation is needed. The problem is formulated as a variational problem with variable end points. The resulting non-linear boundary value problem is solved numerically using the 'Shooting Method'. The non-linear solution indicates the presence of a lower buckling load, before which the only state of equilibrium is the undeformed state.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1974
- Accession Number
- ADA005202
Entities
People
- Yehia M. El-aini
Organizations
- Princeton University