Free Vibration Response of Four-Parameter Functionally Graded Thick Spherical Shell Formulation on FEA
Raparthi Srilakshmi1, Ch. Ratnam2, Chandra Mouli Badiganti3

1Raparthi Srilakshmi*, Department of Mechanical Engineering, Andhra University, Visakhapatnam, India.
2Ch. Ratnam, Department of Mechanical Engineering, Andhra University, Visakhapatnam, India.
3Chandra Mouli Badiganti, Department of Mechanical Engineering, RISE Group ofInstitutions, Ongole, India.
Manuscript received on January 13, 2020. | Revised Manuscript received on January 25, 2020. | Manuscript published on February 10, 2020. | PP: 811-821 | Volume-9 Issue-4, February 2020. | Retrieval Number: D1101029420/2020©BEIESP | DOI: 10.35940/ijitee.D1101.029420
Open Access | Ethics and Policies | Cite | Mendeley
© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (

Abstract: The following study explored the free vibration characteristics of a rectangular spherical shell. An efficient formulation developed Higher-order shear deformation theory (HSDT), conjunction with the numerical procedure (FEM). To determine the desired volume fraction obtained through the Four-parameter power-law distribution considered on the top surface is ceramic-rich. In contrast, the base surface is metal-rich. Parameters distribution gives design flexibility and different kinds of material profiles exhibited. The efficiency of the model is verified by performing convergence studies and comparison tests. The numerical results compared with earlier available literature solutions to authenticate the stability and exactness of the current approach, and good agreement perceived. Illustrated numerical examples to find the influence on the appropriate selection of the four-parameters, the mechanical behavior of the composition and effects on geometrical parameters, skew angles, different boundary conditions on their non-dimensional frequency responses examined in detail. 
Keywords: Free Vibration, Skew Angle, Finite Element Method, Spherical Shell
Scope of the Article: Exact And Parameterized Computation