Free Vibration Response of Four-Parameter Functionally Graded Thick Spherical Shell Formulation on Higher-Order Shear Deformation Theory
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 of Institutions, Ongole, India.

Manuscript received on February 01, 2020. | Revised Manuscript received on February 05, 2020. | Manuscript published on February 30, 2020. | PP: 414-417 | Volume-9 Issue-3, February, 2020. | Retrieval Number:  C4812029320/2020©BEIESP | DOI: 10.35940/ijeat.C4812.029320
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Abstract: This paper emphasizes on the free vibration (FV) responses of functionally graded thick spherical shell in rectangular form using traditional mathematical formulation on finite element method and governed by Higher order shear deformation theory (HOSDT). A functionally graded spherical shell made up of metal-rich on the top surface and in contrast, base surface of the model is ceramic-rich. The FG volume fraction of four-parameter power-law material constituents assumed in the thickness direction. To highlight the potential for the current method, convergence studies, and validation tests performed to establish the stability and accuracy attained by the current approach. The parametric studies presented to scrutinize the influence of choice of four parameters employed through power-law distribution. The eminence effect of spherical shell geometrical properties, and different types of support conditions, skew angle on the FV behavior of non-dimensional frequency responses examined in detail.
Keywords: Free vibration, HSDT, Finite element method, Spherical shell.