Open AccessFree Vibration Response of Four-Parameter Functionally Graded Thick Spherical Shell Formulation on Higher Order Shear Deformation Theory
Author(s) -
Raparthi Srilakshmi Raparthi Srilakshmi,
Ch. Ratnam,
Chandra Mouli Badiganti
Publication year - 2020
Publication title -
international journal of engineering and advanced technology
Language(s) - English
Resource type - Journals
ISSN - 2249-8958
DOI - 10.35940/ijeat.c4812.029320
Subject(s) - spherical shell , shell (structure) , vibration , volume fraction , parametric statistics , mechanics , materials science , shear (geology) , shell theory , power law , material properties , deformation (meteorology) , skew , geometry , structural engineering , mathematics , physics , composite material , acoustics , engineering , statistics , astronomy
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.