Free vibration of functionally graded conical shell

In the present article, free vibration of functionally graded conical shell is examined under fully clamped condition. ANSYS APDL is used to prepare a Finite element model using a commercially available finite element tool ANSYS APDL. Discritization of present conical model is done by using an eight node Serendipity shell element. Effective material properties of functionally graded conical shells are obtained using Voigt's micromechanical model via power-law distribution. The displacement field of the present model is based on the first-order shear deformation theory with six degrees of freedom. Frequency responses are extracted using Block Lanczos eigenvalue extraction method. Convergence study is done for various mesh sizes to obtain the suitable mesh density. The present results are compared and validated with the previously reported results. Finally, the influences of different parameters such as power-law index, thickness ratio and curvature ratio on the frequency responses of the functionally conical shell are demonstrated through various numerical illustrations. (C) 2017 Elsevier Ltd. All rights reserved.