Abstract
Thin elastic circular rings can be subject to various loading profiles when used to stiffen long pipes or aboveground cylindrical storage tanks. Specific nonuniform loading profiles have been used by many researchers in theoretical analyses. However, real loading patterns may deviate slightly from the theoretical approximation. The sensitivity of rings to initial imperfections is highlighted in this work. This study investigates the effect of small imperfections in nonuniform loading of the cosine form. A Duffing-type nonlinear differential equation was solved using a perturbation technique to describe the effects of a “follower” loading normal to a ring with large deformations. It is found that the lower buckling mode will govern with the existence of any magnitude of imperfection corresponding to the shape of the fundamental mode.
Sign-in/Register to access full text options 
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.
