Abstract
The flexural vibration of symmetrically laminated rectangular plates is considered, based upon the adoption of a shear-deformation plate theory. This theory is an extension of Mindlin's theory for isotropic plates and includes the effects of both transverse shear deformation and rotary inertia. Two related methods of analysis are described, namely the Rayleigh-Ritz method and the finite-strip method. The assumed displacement fields incorporate the use of the normal modes of vibration of Timoshenko beams and arbitrary combinations of standard plate edge conditions are accommodated. Results presented for orthotropic simply supported plates show very close comparison with available exact results of three-dimensional elasticity theory, when appropriate selection of shear correction factors is made. A range of results is presented for orthotropic square plates with various combinations of boundary conditions, and these results serve to demonstrate both the convergence qualities of the solution procedures and the very large errors that can be associated with analyses based upon the use of the classical plate theory. A final numerical study is concerned with a clamped anisotropic plate and reveals, not unexpectedly, that convergence of results is less rapid than it is for corresponding orthotropic plates.
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.
