Abstract
The post-buckling behavior and imperfection-sensitivity of conservative elastic systems has been studied extensively. The general theory, which was originated by Koiter, is not applicable if instability is caused by nonconservative forces. In that case, either static or dynamic instability may occur. This paper investigates the case of static (buckling) instability of continuous elastic systems under nonconservative forces. The nonlinear equilibrium equations are analyzed in the neighborhood of a critical point, in order to determine the post-buckling equilibrium paths. The analysis utilizes the adjoint system to the linearized problem. Conservative systems appear as a special case. Two examples are presented to illustrate the results, a cantilever with partial follower load at its tip and a compressed column attached to an elastic foundation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
