Abstract
Two types of flexural vibrations of an arbitrary ring whose cross section is symmetrical with respect to the principal axis in the axial direction are investigated. The frequency determinant is derived by means of the Ritz's method on the basis of the theory of a circular cylindrical shell, which considers the influence of rotatory inertia and transverse shear deformation in addition to the usual membrane and bending effects. Compared with the already-known and the experimental results, the theory is ascertained to be valid for the prediction of the natural frequencies of various rings whose dimensional parameters are comparable to those examined in the paper. It is shown by an experiment that the well-known theory of a circular arc bar is invalid for a general ring in the region of large length-to-diameter ratios, not only concerning the out-of-plane twist-bending vibration, which was examined as to the case of rectangular cross section in the authors' previous paper, but also concerning the in-plane bending vibration of a ring whose cross section is unsymmetrical with respect to the principal axis in the plane of the ring.
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.
