Abstract
An analysis is presented for the three-dimensional vibration problem of determining the natural frequencies and the mode shapes of axisymmetrical solid bodies, with a variable meridional profile expressed as an arbitrary function. For this purpose, the solid body is transformed into a solid cylinder of unit axial length and unit radius by a transformation of variables. With the displacements of the transformed solid cylinder assumed in the forms of algebraic polynomials, the frequency equation is derived by means of the Ritz method. This method is applied to solid bodies of revolution with a linear or a parabolic meridional profile under two combinations of boundary conditions at the edges. The natural frequencies and the mode shapes are calculated numerically up to higher modes, and the results are presented in some figures.
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 callMore From: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
Disclaimer: 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.
