Abstract
By means of a higher-order plate-bending theory developed by Whitney and Pagano along with Berger's hypothesis, large amplitude forced vibrations of moderately thick laminated specially orthotropic plates are investigated. The theory includes shear deformation and rotatory inertia in the same manner as Mindlin's theory for isotropic homogeneous plates. The in-plane forces due to large deflections are assumed to be constant within the plate domain. Considering time-harmonic forcing a Kantorovich-Galerkin procedure provides the formulation of this problem in the lower band of the frequency domain. In the case of laminates made of isotropic layers an analogy to thin homogeneous plates is given, which is complete in the case of polygonal planforms and hard hinged supports. Furthermore, the plate deflection is determined by the solution of two (second-order) Helmholtz Klein Gordon boundary value problems. Inserting these results into a proper domain integral leads to Berger's normal force. This problem-oriented strategy renders the nonlinear frequency response functions of deflection of the undamped layered plate.
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.
