Abstract
Past researchers have treated the vibration problem of rectangular orthotropic Kirchhoff plates by using the semi-inverse method with trial functions which, however, do not always exist. In this study, free vibration and harmonic forced vibration are analysed using a unified method based on the symplectic method. Since only the fundamental equations are used, this method eliminates the need to select the trial function and hence avoids the limitation of the traditional semi-inverse method. Exact frequency equations are presented and the exact solution of natural frequency can be obtained. Furthermore, the analytical solution for free vibration, subject to appropriate modifications, is applied to determine the steady state solution for harmonic forced vibration. The proposed method can be extended to solve plate buckling problems. Tabulated numerical results show that the present method can furnish highly accurate and fast convergent solutions which should be useful as benchmarks.
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: The IES Journal Part A: Civil & Structural Engineering
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.
