Abstract
Solutions, based on principle of collocating the equations of motion at Chebyshev zeroes, are presented for the free vibration analysis of laminated, polar orthotropic, circular and annular plates. The analysis is restricted to axisymmetric free vibration of the plates and employs first-order shear deformation theory for the displacement field, in terms of midplane displacements, u, α and w. The eigenvalue problem is defined in terms of three equations of motion in terms of the radial co-ordinate r, the radial variation of the displacements being represented in polynomial series, with appropriate boundary conditions. Numerical results are presented to show the validity and accuracy of the proposed method. Results of parametric studies for laminated polar orthotropic circular and annular plates with different boundary conditions, orthotropic ratios, lamination sequences, number of layers and shear deformation are also presented.
Highlights
Fiber-reinforced composite structures are often subjected to dynamic loading caused by time-dependent loads causing vibrations or wave propagation
A C-program developed by Antia (2002) is used in the present work for the free vibration analysis of laminated polar orthotropic circular and annular plates based on the solution methodology described in the preceding sections
Free vibration characteristics of composite circular and annular plates were studied in detail, with formulation based on a first-order shear deformation theory and a solution methodology employing the Chebyshev collocation technique
Summary
Fiber-reinforced composite structures are often subjected to dynamic loading caused by time-dependent loads causing vibrations or wave propagation. The response of these structures under time-varying loads depends on the distribution of the stiffness of material in the structure, and on the distribution of mass inertia. The studies of flexural vibrations of plates subjected to different boundary conditions have received considerable interest because of their technological importance, and give a good idea of response characteristics of the structure under dynamic loads. For the free vibration analysis of various plates, there are a number of solution techniques, such as analytical methods, energy methods, finite difference methods and finite element methods. Analytical solutions form an important basis for comparison and verification of results obtained by numerical methods such as the finite element method.
Sign-in/Register to view highlights & summary 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: International Journal of Advanced 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.
