Abstract
AbstractThrough the advancement of technology in various fields in today’s century, we are able to come up with a wide range of solutions for the betterment of mankind. We are making strides in areas such as space exploration and nuclear power plants, but we are still confronted with certain obstacles. These applications necessitate the use of special materials designed to survive the harsh climate. Functionally graded materials (FGM) are the best alternative to traditional materials for addressing this problem. As a result, it is important to verify the properties of FGM before putting them to use in applications. This paper mainly focuses on finding nonlinear frequency of vibration of the shell of spherical shape. As material is having varying material properties, it is nonlinear in nature; hence, it becomes necessary to consider its nonlinear frequency. Also, it is necessary to find the effect of composition of material, effect of temperature on frequency response in order to avoid the failure of parts being used. This paper gives the insights into the frequency, considering the above-said parameters. This will help to decide material composition, temperature, and different boundary conditions for required application. The paper considers the FGM made from the mixture of aluminum and alumina (Al/Al2O3) and stainless steel/silicon nitride (SUS304/Si3N4) Nonlinear free vibration response of a spherical geometry made of FGMs in a thermal atmosphere is the subject of this article. Since some material properties change with temperature [temperature-dependent (TD)] while others remain stable [temperature-independent (TID)], it is essential to consider both for testing purposes. This study would look at not only uniform but also non-uniform temperature differences. This study enlists the help of mathematical modeling using higher-order shear deformation theory (HSDT) in combination with nonlinear strain kinematics theory given by von Karman. The finite element formulation benefits from modified C0 continuity. The proposed method is validated by comparing the outcomes in the literature.KeywordsSpherical shellFGMNonlinear free vibrationHSDT
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