Abstract
In this study, the non-linear dynamic analysis of functionally graded (FG) truncated conical shells surrounded by an elastic medium has been investigated using the large deformation theory with von Karman–Donnell-type of kinematic non-linearity. The material properties of FG truncated conical shell are assumed to vary continuously through the thickness direction. The Pasternak model is used to describe the reaction of the elastic foundation on the FG conical shell. The fundamental relations, the non-linear motion and compatibility equations of FG truncated conical shells surrounded by an elastic medium are derived. By using the Superposition method, Galerkin method and Harmonic balance method, the problem of non-linear vibration of the FG truncated conical shell surrounded by an elastic medium is solved. Finally, the influences of variations of the elastic medium, compositional profiles and conical shell characteristics on the frequency–amplitude relations are investigated. The present results are compared with the available data for a special case.
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.
