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research-article

Behavior of Thin Elastic Circular Rings with Large Deformations under Non-Uniform Loads

[+] Author and Article Information
Eyas Azzuni

Lyles School of Civil Engineering, Purdue University, West Lafayette, IN 47907, USA
eazzuni@purdue.edu

Sukru Guzey

Lyles School of Civil Engineering, Purdue University, West Lafayette, IN 47907, USA
guzey@purdue.edu

1Corresponding author.

ASME doi:10.1115/1.4041939 History: Received August 22, 2017; Revised November 05, 2018

Abstract

Thin elastic circular rings under uniform pressure have been extensively studied by many researchers. Both the deflection and buckling behavior of rings were considered in these studies, but most have focused on the small deformations analysis approach. Even though the use of the small deformations assumption helps find the deflections of the ring prior to reaching the buckling load, it does not accurately capture the behavior of the ring after buckling. The in-plane large deformations analysis of thin elastic circular rings under non-uniform pressure explored in this paper expands on previous work and investigates varying pressure profiles. The pressure profiles studied here can be described by p=p_0 (1+q cos?(n?) ). The large deformations assumption allows for the investigating of buckling loads as well as post-buckling behavior. Non-uniform normal pressure acting on a thin elastic circular ring results in a behavior that is described by a second order ordinary differential equation of the Duffing type, which is solved here through a numerical approach.

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