Abstract
Theoretical analyses are presented for the dynamic stability of a free-clamped coaxial cylindrical shell partially filled in the annular gap with incompressible, inviscid liquid and subjected to vertical excitation. The dynamic version of the Donnell equations and the velocity potential theory are used for the motions of the shell and the liquid, respectively. The problem is solved by using the modified Galerkin method so as to satisfy the boundary conditions, and the governing equation is reduced to a type of coupled Mathieu's equation. The instability boundaries where parametric resonance occurs are determined by using Hsu's method. It is found that a principal instability resonance and a combination instability resonance of the sum type of two natural vibrations, each of which has the same circumferential wave number and different axial mode of vibration, are likely to occur. Further, the interactive effect of the coaxial cylinders is found to become small with an increase in the wave number and the annular gap.
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 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.
