Abstract
Free vibration characteristics of thin spherical shells having freely boundary conditions are analyzed. In this study, the fundamental properties of natural vibration for the spherical shells are investigated. The power function is employed as the admissible function, displacement functions satisfying the geometric boundary conditions are expressed in the form of single series. The eigenvalue problem for free vibration of the shells derived by using the Lagrange’s equation of motion, is processed numerically to acquire the natural frequencies and mode shapes. The reliability and accuracy of the present results are verified by convergence tendencies of the present solutions and comparisons of the data between the current analysis, FEM (finite element method) and published literatures. In numerical results, the variations of natural vibration characteristics of the shells due to the circumferential wavenumber and various shell geometries are illustrated.
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.
