Abstract
Based on Timoshenko—Mindlin kinematic hypotheses and Hamilton's principle, a system of equations of motion is derived for geometrically nonlinear behavior of generally laminated cylindrical thick panels of geometric initial imperfections. The variation of rotational stiffness is assumed to be identical along opposite edges. A solution for nonlinear vibration of these panels is formulated by use of a multi-mode approach. The boundary condition for the varying rotational stiffness is satisfied by replacement of the edge bending moments by an equivalent lateral pressure near the panel edges as in a previous work. The Galerkin procedure furnishes an infinite set of equations for time-dependent coefficients which is solved by the method of harmonic balance. In the post-buckling case the set of time equations reduces to algebraic equations. Numerical results in nonlinear vibration and post-buckling are presented graphically for different parameters and compared with available data.
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.
