Inextensibility and Its Effect on the Number of Equilibria of Shallow Buckled Beams
Abstract
A buckled beam with shallow rise under lateral constraint is considered. The initial rise results from a prescribed end displacement. The beam is modeled as inextensible, and analytical solutions of the equilibria are obtained from a constrained energy minimization problem. For simplicity, the results are derived for the archetypal beam with pinned ends. It is found that there are an infinite number of zero lateral-load equilibria, each corresponding to an Euler buckling mode. A numerical model is used to verify the accuracy of the model and also to explore the effects of extensibility.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Sep 16, 2020
- Source ID
- 10.1115/1.4048199
Entities
People
- Philip S. Harvey Jr.
- Richard Wiebe
- Thomas M. N. Cain
Organizations
- Air Force Office of Scientific Research
- National Science Foundation
- University of Oklahoma
- University of Washington