caa a22 4500 44581182X CHVBK 20180317145214.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00419-011-0516-1 doi (NATIONALLICENCE)springer-10.1007/s00419-011-0516-1 Three-dimensional free vibration analysis of four-parameter continuous grading fiber reinforced cylindrical panels resting on Pasternak foundations [Elektronische Daten] [B. Sobhani Aragh, M. Yas] This research investigates three-dimensional free vibration analysis of four-parameter continuous grading fiber reinforced (CGFR) cylindrical panels resting on Pasternak foundations by using generalized power-law distribution. The functionally graded orthotropic panel is simply supported at the edges, and it is assumed to have an arbitrary variation of matrix volume fraction in the radial direction. A four-parameter power-law distribution presented in literature is proposed. Symmetric and asymmetric volume fraction profiles are presented. Suitable displacement functions that identically satisfy the boundary conditions at the simply supported edges are used to reduce the equilibrium equations to a set of coupled ordinary differential equations with variable coefficients, which are solved by generalized differential quadrature method, and natural frequency is obtained. The fast rate of convergence of the method is demonstrated, and to validate the results, comparisons are made with the available solutions for functionally graded isotropic shells with/without elastic foundations. The effect of the elastic foundation stiffness parameters and various geometrical parameters on the vibration behavior of the CGFR cylindrical panels is investigated. This work mainly contributes to illustrate the influence of the four parameters of power-law distributions on the vibration behavior of functionally graded orthotropic cylindrical panels resting on elastic foundation. This paper is also supposed to present useful results for continuous grading of matrix volume fraction in the thickness direction of a cylindrical panel on elastic foundation and comparison with similar discrete laminated composite cylindrical panel. Springer-Verlag, 2011 Continuous grading fiber reinforced nationallicence Free vibrations nationallicence Generalized power-law distribution nationallicence Three-dimensional elasticity solution nationallicence Pasternak foundation nationallicence Sobhani Aragh B. Mechanical Engineering Department, Razi University, 67346-67149, Kermanshah, Iran aut Yas M. Mechanical Engineering Department, Razi University, 67346-67149, Kermanshah, Iran aut Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1759-1779 0939-1533 81:12<1759 2011 81 419 https://doi.org/10.1007/s00419-011-0516-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-011-0516-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sobhani Aragh B. Mechanical Engineering Department, Razi University, 67346-67149, Kermanshah, Iran aut NATIONALLICENCE 700 1- Yas M. Mechanical Engineering Department, Razi University, 67346-67149, Kermanshah, Iran aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1759-1779 0939-1533 81:12<1759 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer