Abstract
The differential equations which govern the vibrations with initial stresses of thin non-circular cylinders of arbitrary curvature are obtained by a variational approach. The initial stresses which are considered are stresses produced by axial loads, torsion, and normal pressure. The solution procedure is presented and numerical results are presented for the free vibrations of freely supported oval cylinders without initial stress. Frequency factors of oval cylinders are compared with those of circular cylinders as the length, thickness, and non-circularity are varied. The equivalence of the solutions for the free vibrations with and without initial axial stress is also established.
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.
